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High-efficiency second-harmonic generation in doubly-resonant χ(2) microring resonatorsZhuan-Fang Bi, Alejandro W. Rodriguez, Hila Hashemi, David Duchesne, Marko Loncar, Ke-Ming Wang, and Steven G. Johnson »View Author Affiliations
Zhuan-Fang Bi,1,2,3
Alejandro W. Rodriguez,2,3
Hila Hashemi,3
David Duchesne,4
Marko Loncar,2
Ke-Ming Wang,1,5
and Steven G. Johnson3
1School of Physics, Shandong University, Jinan, Shandong 250100, China 2School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138 3Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139 4Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139 5State Key Laboratory of Crystal Material, Shandong University, Jinan, Shandong 250100, China |
Optics Express, Vol. 20, Issue 7, pp. 7526-7543 (2012)
http://dx.doi.org/10.1364/OE.20.007526
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Abstract
By directly simulating Maxwell’s equations via the finite-difference time-domain (FDTD) method, we numerically demonstrate the possibility of achieving high-efficiency second harmonic generation (SHG) in a structure consisting of a microscale doubly-resonant ring resonator side-coupled to two adjacent waveguides. We find that ≳ 94% conversion efficiency can be attained at telecom wavelengths, for incident powers in the milliwatts, and for reasonably large bandwidths (Q ∼ 1000s). We demonstrate that in this high efficiency regime, the system also exhibits limit-cycle or bistable behavior for light incident above a threshold power. Our numerical results agree to within a few percent with the predictions of a simple but rigorous coupled-mode theory framework.
© 2012 OSA
OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(230.4320) Optical devices : Nonlinear optical devices
ToC Category:
Nonlinear Optics
History
Original Manuscript: January 11, 2012
Revised Manuscript: March 5, 2012
Manuscript Accepted: March 5, 2012
Published: March 19, 2012
Citation
Zhuan-Fang Bi, Alejandro W. Rodriguez, Hila Hashemi, David Duchesne, Marko Loncar, Ke-Ming Wang, and Steven G. Johnson, "High-efficiency second-harmonic generation in doubly-resonant χ(2) microring resonators," Opt. Express 20, 7526-7543 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-7-7526
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References
- A. Rodriguez, M. Soljačić, J. D. Joannopulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doubly resonant cavities,” Opt. Express15(12), 7303–7318 (2007). [CrossRef] [PubMed]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- P. S. Kuo and G. S. Solomon, “On- and off-resonance second-harmonic generation in GaAs microdisks,” Opt. Express19(18), 16,898–16,918 (2011). [CrossRef]
- Y. Dumeige and P. Feron, “Wispering-gallery-mode analysis of phase-matched doubly resonant second-harmonic generation,” Phys. Rev. A74, 063,804 (2006). [CrossRef]
- G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Optics Communications113, 463 (1995). [CrossRef]
- M. Liscidini and L. A. Andreani, “Highly efficient second-harmonic generation in doubly resonant planar microcavities,” Appl. Phys. Lett.85, 1883 (2004).
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- P. Scotto, P. Colet, and M. San Miguel, “All-optical image processing with cavity type II second-harmonic generation,” Opt. Lett.28, 1695 (2003). [CrossRef] [PubMed]
- M. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today47, 25–32 (1994). [CrossRef]
- G. McConnell, A. I. Ferguson, and N. Langford, “Cavity-augmented frequency tripling of a continuous wave mode-locked laser,” J. Phys. D: Appl.Phys34, 2408 (2001). [CrossRef]
- R. G. Smith, “Theory of intracavity optical second-harmonic generation,” IEEE J. Quantum Electron.6, 215–223 (1970). [CrossRef]
- A. I. Gerguson and M. H. Dunn, “Intracavity second harmonic generation in continuous-wave dye lasers,” IEEE J. Quantum Electron.13, 751–756 (1977). [CrossRef]
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- S. Pearl, H. Lotem, and Y. Shimony, “Optimization of laser intracavity second-harmonic generation by a linear dispersion element,” J. Opt. Soc. Am. B16, 1705 (1999). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- A. H. Norton and C. M. de Sterke, “Optimal poling of nonlinear photonic crystals for frequency conversion,” Opt. Lett.28, 188 (2002).
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- A. R. Cowan and J. F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. E65, 085,106 (2002).
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- V. Berger, “Second-harmonic generation in monolithic cavities,” J. Opt. Soc. Am. B14, 1351 (1997). [CrossRef]
- I. I. Zootoverkh, K. N. V, and E. G. Lariontsev, “Enhancement of the efficiency of second-harmonic generation in microlaser,” Quantum Electronics30, 565 (2000). [CrossRef]
- B. Maes, P. Bienstman, and R. Baets, “Modeling second-harmonic generation by use of mode expansion,” J. Opt. Soc. Am. B22, 1378 (2005). [CrossRef]
- M. Liscidini and L. A. Andreani, “Second-harmonic generation in doubly resonant microcavities with periodic dielectric mirrors,” Phys. Rev. E73, 016,613 (2006). [CrossRef]
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
- A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2, 109–124 (1966). [CrossRef]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- Z. Yang, P. Chak, A. D. Bristow, H. M. van Driel, R. Iyer, J. S. Aitchison, A. L. Smirl, and J. E. Sipe, “Enhanced second-harmonic generation in AlGaAs microring resonators,” Opt. Lett.32(7), 826–828 (2007). [CrossRef] [PubMed]
- L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B28(12), A67–A82 (2011). [CrossRef]
- S. Schiller, “Principles and Applications of Optical Monolithic Total-Internal-Reflection Resonators,” Ph.D. thesis, Stanford University, Stanford, CA (1993).
- Y. Dumeige and P. Feron, “Stability and time-domain analysis of the dispersive tristability in microresonators under modal coupling,” Phys. Rev. A84(4), 043,847 (2011). [CrossRef]
- Z. Y. Ou and H. J. Kimble, “Enhanced conversion efficiency for harmonic generation with double resonance,” Opt. Lett.18, 1053–1055 (1993). [CrossRef] [PubMed]
- M. Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989).
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- M. Gandomkar and V. Ahmadi, “Design and analysis of enhanced second harmonic generation in AlGaAs/AlOx microring waveguide,” Opt. Express19(10), 9408–9418 (2011). [CrossRef] [PubMed]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- R. W. Boyd, Nonlinear Optics (Academic Press, California, 1992).
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University Press, 2008). URL http://ab-initio.mit.edu/book .
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant high quality photonic crystal nanocavities,” Appl. Phys. Lett.99(1), 013,114 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant photonic crystal nanocavities for nonlinear frequency conversion,” Opt. Express19(22), 22,198–22,207 (2011). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Harmonic inversion of time signals and its applications,” J. Chem. Phys.107(17), 6756–6769 (1997). See erratum. [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Erratum: “Harmonic inversion of time signals and its applications”,” J. Chem. Phys.109, 4128 (1998). [CrossRef]
- S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express8(3), 173–190 (2001).
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- Q. Xu and M. Lipson, “Carrier-induced optical bistability in Silicon ring resonators,” Opt. Lett.31(3), 341–343 (2005). [CrossRef]
- R. G. Hunsperger, Integrated Optics: Theory and Technology (Springer-Verlag, 2002).
- C. L. Chen, Foundations for Guided-Wave Optics (Wiley, 2006). [CrossRef]
- K. K. Y. Lee, Y. Avniel, and S. G. Johnson, “Rigorous sufficient conditions for index-guided modes in microstructured dielectric waveguides,” Opt. Express16, 9261–9275 (2008). [CrossRef] [PubMed]
- P. D. Drummond, K. J. McNeil, and D. F. Walls, “Non-equilibrium transitions in sub/second harmonic generation I: Semiclassical theory,” Optica Acta.27(3), 321–335 (1980). [CrossRef]
- K. Grygiel and P. Szlatchetka, “Chaos in second-harmonic generation of light. The case of a strain of pulses.”Opt. Comm.91, 241–246 (1992). [CrossRef]
- E. D. Palik, ed., Handbook of optical constants of solids II (Academic Press, 1991).
- M. Ohashi, T. Kondo, and R. Ito, “Determination of quadratic nonlinear optical coefficient of AlxGa1−xAs system by the method of reflected second harmonics,” J. Appl. Phys.74(1), 596–601 (1993). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
Aers, G. C.
Aguanno, G. D.
Ahmadi, V.
Aitchison, J. S.
Andersen, U. L.
Andreani, L. A.
Andreani, L. C.
Armstrong, J. A.
Ashkin, A.
Asobe, M.
Avniel, Y.
Avrahami, Y.
Baehr-Jones, T.
Baets, R.
Balakin, A. V.
Barbastathis, G.
Bedford, R.
Berger, V.
Bermel, P.
Bertolotti, M.
Bienstman, P.
Bloemer, M. J.
Bowden, C. M.
Boyd, G. D.
Boyd, R. W.
Bravetti, P.
Bravo-Abad, J.
Brieger, M.
Bristow, A. D.
Büchter, D.
Buckley, S.
Busener, H.
Bushuev, V. A.
Businaro, L.
Byer, R.
Caspani, L.
Centini, M.
Chak, P.
Chen, C. L.
Cheung, E. C.
Colet, P.
Cowan, A. R.
Dalacu, D.
de Sterke, C. M.
Dolgaleva, K.
Drummond, P. D.
Duchesne, D.
Ducuing, J.
Dumeige, Y.
Dunn, M. H.
Dziedzic, J. M.
Elser, D.
Fabrizio, E. D.
Fallahi, M.
Fan, L.
Fan, S.
Fejer, M.
Fejer, M. M.
Ferguson, A. I.
Feron, P.
Ferrera, M.
Fiedler, K.
Fiore, A.
Fong, K. Y.
Foster, M. A.
Frederick, S.
Fürst, J. U.
Gaeta, A. L.
Gandomkar, M.
Gerguson, A. I.
Grundkötter, W.
Grygiel, K.
Guizzeti, G.
Gutowski, J.
Hader, J.
Harris, J. S.
Hashemi, H.
Hatami, F.
Haus, H.
Haus, J. W.
Herrmann, H.
Hese, A.
Hio, Y.
Hochberg, M.
Hommel, D.
Hu, H.
Hunsperger, R. G.
Ibanescu, M.
Ilchenko, V. S.
Ippen, E. P.
Ito, R.
Iyer, R.
Jeon, Y.
Joannopoulos, J. D.
Joannopulos, J. D.
Johnson, S. G.
Jundt, D.
Kalden, J.
Kaneda, Y.
Kim, S.-G.
Kimble, H. J.
Kimerling, L. C.
Koch, K.
Koch, S. W.
Kondo, T.
Kruse, C.
Kuo, P. S.
Kurz, P.
Langford, N.
Lariontsev, E. G.
Lassen, M.
Lee, K. K. Y.
Leuchs, G.
Levenson, J. A.
Levy, J. S.
Lin, Z.
Lipson, M.
Liscidini, M.
loembergen, N.
Lohmeyer, H.
Lopez-Royo, F.
Lotem, H.
Maes, B.
Magel, G.
Maleki, L.
Malvezzi, A. M.
Mandelshtam, V. A.
Mantsyzov, B. I.
Marquardt, C.
Masselink, W. T.
Matsko, A. B.
McConnell, G.
McNeil, K. J.
Min, Y.
Mlynek, J.
Moers, F. V.
Moloney, J.
Moore, G. T.
Morandotti, R.
Moss, D. J.
Murray, J. T.
Nagle, J.
Nielson, G.
Norton, A. H.
Nouroozi, R.
Ohashi, M.
Oskooi, A. F.
Ou, Z. Y.
Ozheredov, I. A.
Palacios, T.
Pan, J.
Paschotta, R.
Pasquazi, A.
Passaseo, A.
Patrini, M.
Pearl, S.
Peccianti, M.
Pernice, W.
Pershan, P. S.
Petrov, E. V.
Poole, P. J.
Povinelli, M. L.
Qi, M.
Quiring, V.
Rakich, P.
Rakich, P. T.
Razzari, L.
Renn, A.
Reza, S.
Ricken, R.
Rivoire, K.
Rodriguez, A.
Rodriguez, A. W.
Romanato, F.
Rosencher, E.
Roundy, D.
Ryu, K. K.
San Miguel, M.
Sandhu, S.
Savchenkov, A. A.
Scaccabarozzi, L.
Scalora, M.
Scherer, A.
Schiller, S.
Schuck, C.
Scotto, P.
Sebald, K.
Seneviratne, D.
Shimony, Y.
Shkurinov, A. P.
Sibilia, C.
Sipe, J. E.
Smirl, A. L.
Smith, H. I.
Smith, R. G.
Sohler, W.
Soljacic, M.
Solomon, G. S.
Steven, S. G.
Stolz, W.
Strekalov, D. V.
Suche, S. O. H.
Suzuki, H.
Szlatchetka, P.
Tabor, M.
Ta-Chen, H.
Tang, H. X.
Taylor, H. S.
Timp, R.
Tomita, I.
Tuller, H.
V, K. N.
van Driel, H. M.
Vannahme, C.
Vecchi, G.
Vidavovic, P.
Vittorio, M. D.
Vuckovic, J.
Wagner, S. J.
Walker, C.
Walls, D. F.
Watts, M.
Williams, R. L.
Wong, C. W.
Xiong, C.
Xu, Q.
XZakharian, A. R.
Yamanaka, K.
Yang, Z.
Yoshikuni, Y.
Young, J. F.
Yumoto, J.
Zootoverkh, I. I.
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B28(12), A67–A82 (2011). [CrossRef]
- Z. Yang, P. Chak, A. D. Bristow, H. M. van Driel, R. Iyer, J. S. Aitchison, A. L. Smirl, and J. E. Sipe, “Enhanced second-harmonic generation in AlGaAs microring resonators,” Opt. Lett.32(7), 826–828 (2007). [CrossRef] [PubMed]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- M. Liscidini and L. A. Andreani, “Second-harmonic generation in doubly resonant microcavities with periodic dielectric mirrors,” Phys. Rev. E73, 016,613 (2006). [CrossRef]
- M. Liscidini and L. A. Andreani, “Highly efficient second-harmonic generation in doubly resonant planar microcavities,” Appl. Phys. Lett.85, 1883 (2004).
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
- A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2, 109–124 (1966). [CrossRef]
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- B. Maes, P. Bienstman, and R. Baets, “Modeling second-harmonic generation by use of mode expansion,” J. Opt. Soc. Am. B22, 1378 (2005). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- V. Berger, “Second-harmonic generation in monolithic cavities,” J. Opt. Soc. Am. B14, 1351 (1997). [CrossRef]
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- B. Maes, P. Bienstman, and R. Baets, “Modeling second-harmonic generation by use of mode expansion,” J. Opt. Soc. Am. B22, 1378 (2005). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2, 109–124 (1966). [CrossRef]
- R. W. Boyd, Nonlinear Optics (Academic Press, California, 1992).
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant high quality photonic crystal nanocavities,” Appl. Phys. Lett.99(1), 013,114 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant photonic crystal nanocavities for nonlinear frequency conversion,” Opt. Express19(22), 22,198–22,207 (2011). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- C. L. Chen, Foundations for Guided-Wave Optics (Wiley, 2006). [CrossRef]
- G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Optics Communications113, 463 (1995). [CrossRef]
- A. R. Cowan and J. F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. E65, 085,106 (2002).
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- A. H. Norton and C. M. de Sterke, “Optimal poling of nonlinear photonic crystals for frequency conversion,” Opt. Lett.28, 188 (2002).
- P. D. Drummond, K. J. McNeil, and D. F. Walls, “Non-equilibrium transitions in sub/second harmonic generation I: Semiclassical theory,” Optica Acta.27(3), 321–335 (1980). [CrossRef]
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
- Y. Dumeige and P. Feron, “Stability and time-domain analysis of the dispersive tristability in microresonators under modal coupling,” Phys. Rev. A84(4), 043,847 (2011). [CrossRef]
- Y. Dumeige and P. Feron, “Wispering-gallery-mode analysis of phase-matched doubly resonant second-harmonic generation,” Phys. Rev. A74, 063,804 (2006). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- A. I. Gerguson and M. H. Dunn, “Intracavity second harmonic generation in continuous-wave dye lasers,” IEEE J. Quantum Electron.13, 751–756 (1977). [CrossRef]
- A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2, 109–124 (1966). [CrossRef]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- M. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today47, 25–32 (1994). [CrossRef]
- G. McConnell, A. I. Ferguson, and N. Langford, “Cavity-augmented frequency tripling of a continuous wave mode-locked laser,” J. Phys. D: Appl.Phys34, 2408 (2001). [CrossRef]
- Y. Dumeige and P. Feron, “Stability and time-domain analysis of the dispersive tristability in microresonators under modal coupling,” Phys. Rev. A84(4), 043,847 (2011). [CrossRef]
- Y. Dumeige and P. Feron, “Wispering-gallery-mode analysis of phase-matched doubly resonant second-harmonic generation,” Phys. Rev. A74, 063,804 (2006). [CrossRef]
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- A. I. Gerguson and M. H. Dunn, “Intracavity second harmonic generation in continuous-wave dye lasers,” IEEE J. Quantum Electron.13, 751–756 (1977). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- K. Grygiel and P. Szlatchetka, “Chaos in second-harmonic generation of light. The case of a strain of pulses.”Opt. Comm.91, 241–246 (1992). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- R. G. Hunsperger, Integrated Optics: Theory and Technology (Springer-Verlag, 2002).
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- M. Ohashi, T. Kondo, and R. Ito, “Determination of quadratic nonlinear optical coefficient of AlxGa1−xAs system by the method of reflected second harmonics,” J. Appl. Phys.74(1), 596–601 (1993). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express8(3), 173–190 (2001).
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- K. K. Y. Lee, Y. Avniel, and S. G. Johnson, “Rigorous sufficient conditions for index-guided modes in microstructured dielectric waveguides,” Opt. Express16, 9261–9275 (2008). [CrossRef] [PubMed]
- A. Rodriguez, M. Soljačić, J. D. Joannopulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doubly resonant cavities,” Opt. Express15(12), 7303–7318 (2007). [CrossRef] [PubMed]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express8(3), 173–190 (2001).
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Optics Communications113, 463 (1995). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- M. Ohashi, T. Kondo, and R. Ito, “Determination of quadratic nonlinear optical coefficient of AlxGa1−xAs system by the method of reflected second harmonics,” J. Appl. Phys.74(1), 596–601 (1993). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- P. S. Kuo and G. S. Solomon, “On- and off-resonance second-harmonic generation in GaAs microdisks,” Opt. Express19(18), 16,898–16,918 (2011). [CrossRef]
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- G. McConnell, A. I. Ferguson, and N. Langford, “Cavity-augmented frequency tripling of a continuous wave mode-locked laser,” J. Phys. D: Appl.Phys34, 2408 (2001). [CrossRef]
- I. I. Zootoverkh, K. N. V, and E. G. Lariontsev, “Enhancement of the efficiency of second-harmonic generation in microlaser,” Quantum Electronics30, 565 (2000). [CrossRef]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- Q. Xu and M. Lipson, “Carrier-induced optical bistability in Silicon ring resonators,” Opt. Lett.31(3), 341–343 (2005). [CrossRef]
- M. Liscidini and L. A. Andreani, “Second-harmonic generation in doubly resonant microcavities with periodic dielectric mirrors,” Phys. Rev. E73, 016,613 (2006). [CrossRef]
- M. Liscidini and L. A. Andreani, “Highly efficient second-harmonic generation in doubly resonant planar microcavities,” Appl. Phys. Lett.85, 1883 (2004).
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- B. Maes, P. Bienstman, and R. Baets, “Modeling second-harmonic generation by use of mode expansion,” J. Opt. Soc. Am. B22, 1378 (2005). [CrossRef]
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Erratum: “Harmonic inversion of time signals and its applications”,” J. Chem. Phys.109, 4128 (1998). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Harmonic inversion of time signals and its applications,” J. Chem. Phys.107(17), 6756–6769 (1997). See erratum. [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- G. McConnell, A. I. Ferguson, and N. Langford, “Cavity-augmented frequency tripling of a continuous wave mode-locked laser,” J. Phys. D: Appl.Phys34, 2408 (2001). [CrossRef]
- P. D. Drummond, K. J. McNeil, and D. F. Walls, “Non-equilibrium transitions in sub/second harmonic generation I: Semiclassical theory,” Optica Acta.27(3), 321–335 (1980). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Optics Communications113, 463 (1995). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- A. H. Norton and C. M. de Sterke, “Optimal poling of nonlinear photonic crystals for frequency conversion,” Opt. Lett.28, 188 (2002).
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- M. Ohashi, T. Kondo, and R. Ito, “Determination of quadratic nonlinear optical coefficient of AlxGa1−xAs system by the method of reflected second harmonics,” J. Appl. Phys.74(1), 596–601 (1993). [CrossRef]
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant photonic crystal nanocavities for nonlinear frequency conversion,” Opt. Express19(22), 22,198–22,207 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant high quality photonic crystal nanocavities,” Appl. Phys. Lett.99(1), 013,114 (2011). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- S. Schiller, “Principles and Applications of Optical Monolithic Total-Internal-Reflection Resonators,” Ph.D. thesis, Stanford University, Stanford, CA (1993).
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- R. G. Smith, “Theory of intracavity optical second-harmonic generation,” IEEE J. Quantum Electron.6, 215–223 (1970). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- A. Rodriguez, M. Soljačić, J. D. Joannopulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doubly resonant cavities,” Opt. Express15(12), 7303–7318 (2007). [CrossRef] [PubMed]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- P. S. Kuo and G. S. Solomon, “On- and off-resonance second-harmonic generation in GaAs microdisks,” Opt. Express19(18), 16,898–16,918 (2011). [CrossRef]
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- K. Grygiel and P. Szlatchetka, “Chaos in second-harmonic generation of light. The case of a strain of pulses.”Opt. Comm.91, 241–246 (1992). [CrossRef]
- M. Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989).
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Erratum: “Harmonic inversion of time signals and its applications”,” J. Chem. Phys.109, 4128 (1998). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Harmonic inversion of time signals and its applications,” J. Chem. Phys.107(17), 6756–6769 (1997). See erratum. [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- I. I. Zootoverkh, K. N. V, and E. G. Lariontsev, “Enhancement of the efficiency of second-harmonic generation in microlaser,” Quantum Electronics30, 565 (2000). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant photonic crystal nanocavities for nonlinear frequency conversion,” Opt. Express19(22), 22,198–22,207 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant high quality photonic crystal nanocavities,” Appl. Phys. Lett.99(1), 013,114 (2011). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- P. D. Drummond, K. J. McNeil, and D. F. Walls, “Non-equilibrium transitions in sub/second harmonic generation I: Semiclassical theory,” Optica Acta.27(3), 321–335 (1980). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- A. R. Cowan and J. F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. E65, 085,106 (2002).
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- I. I. Zootoverkh, K. N. V, and E. G. Lariontsev, “Enhancement of the efficiency of second-harmonic generation in microlaser,” Quantum Electronics30, 565 (2000). [CrossRef]
Appl. Phys. Lett
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
Appl. Phys. Lett.
- M. Liscidini and L. A. Andreani, “Highly efficient second-harmonic generation in doubly resonant planar microcavities,” Appl. Phys. Lett.85, 1883 (2004).
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant high quality photonic crystal nanocavities,” Appl. Phys. Lett.99(1), 013,114 (2011). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
Comp. Phys. Comm.
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
IEEE J. Quant. Elec.
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
IEEE J. Quantum Electron.
- A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2, 109–124 (1966). [CrossRef]
- R. G. Smith, “Theory of intracavity optical second-harmonic generation,” IEEE J. Quantum Electron.6, 215–223 (1970). [CrossRef]
- A. I. Gerguson and M. H. Dunn, “Intracavity second harmonic generation in continuous-wave dye lasers,” IEEE J. Quantum Electron.13, 751–756 (1977). [CrossRef]
J. Appl. Phys.
- M. Ohashi, T. Kondo, and R. Ito, “Determination of quadratic nonlinear optical coefficient of AlxGa1−xAs system by the method of reflected second harmonics,” J. Appl. Phys.74(1), 596–601 (1993). [CrossRef]
J. Chem. Phys.
- V. A. Mandelshtam and H. S. Taylor, “Harmonic inversion of time signals and its applications,” J. Chem. Phys.107(17), 6756–6769 (1997). See erratum. [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Erratum: “Harmonic inversion of time signals and its applications”,” J. Chem. Phys.109, 4128 (1998). [CrossRef]
J. of Appl. Phys.
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
J. Opt. Soc. Am. B
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Generalized coupled-mode theory for χ(2) interactions in finite multi-layered structures,” J. Opt. Soc. Am. B19, 2111–2122 (2002). [CrossRef]
- L. Caspani, D. Duchesne, K. Dolgaleva, S. J. Wagner, M. Ferrera, L. Razzari, A. Pasquazi, M. Peccianti, D. J. Moss, J. S. Aitchison, and R. Morandotti, “Optical frequency conversion in integrated devices,” J. Opt. Soc. Am. B28(12), A67–A82 (2011). [CrossRef]
- V. Berger, “Second-harmonic generation in monolithic cavities,” J. Opt. Soc. Am. B14, 1351 (1997). [CrossRef]
- B. Maes, P. Bienstman, and R. Baets, “Modeling second-harmonic generation by use of mode expansion,” J. Opt. Soc. Am. B22, 1378 (2005). [CrossRef]
- S. Pearl, H. Lotem, and Y. Shimony, “Optimization of laser intracavity second-harmonic generation by a linear dispersion element,” J. Opt. Soc. Am. B16, 1705 (1999). [CrossRef]
J. Phys. D: Appl.Phys
- G. McConnell, A. I. Ferguson, and N. Langford, “Cavity-augmented frequency tripling of a continuous wave mode-locked laser,” J. Phys. D: Appl.Phys34, 2408 (2001). [CrossRef]
Letters to Nature
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
Opt. Comm.
- K. Grygiel and P. Szlatchetka, “Chaos in second-harmonic generation of light. The case of a strain of pulses.”Opt. Comm.91, 241–246 (1992). [CrossRef]
Opt. Commun.
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
Opt. Express
- P. S. Kuo and G. S. Solomon, “On- and off-resonance second-harmonic generation in GaAs microdisks,” Opt. Express19(18), 16,898–16,918 (2011). [CrossRef]
- A. Rodriguez, M. Soljačić, J. D. Joannopulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doubly resonant cavities,” Opt. Express15(12), 7303–7318 (2007). [CrossRef] [PubMed]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- K. K. Y. Lee, Y. Avniel, and S. G. Johnson, “Rigorous sufficient conditions for index-guided modes in microstructured dielectric waveguides,” Opt. Express16, 9261–9275 (2008). [CrossRef] [PubMed]
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- M. Gandomkar and V. Ahmadi, “Design and analysis of enhanced second harmonic generation in AlGaAs/AlOx microring waveguide,” Opt. Express19(10), 9408–9418 (2011). [CrossRef] [PubMed]
- S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express8(3), 173–190 (2001).
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant photonic crystal nanocavities for nonlinear frequency conversion,” Opt. Express19(22), 22,198–22,207 (2011). [CrossRef]
Opt. Lett.
- Q. Xu and M. Lipson, “Carrier-induced optical bistability in Silicon ring resonators,” Opt. Lett.31(3), 341–343 (2005). [CrossRef]
- Z. Yang, P. Chak, A. D. Bristow, H. M. van Driel, R. Iyer, J. S. Aitchison, A. L. Smirl, and J. E. Sipe, “Enhanced second-harmonic generation in AlGaAs microring resonators,” Opt. Lett.32(7), 826–828 (2007). [CrossRef] [PubMed]
- Z. Y. Ou and H. J. Kimble, “Enhanced conversion efficiency for harmonic generation with double resonance,” Opt. Lett.18, 1053–1055 (1993). [CrossRef] [PubMed]
- P. Scotto, P. Colet, and M. San Miguel, “All-optical image processing with cavity type II second-harmonic generation,” Opt. Lett.28, 1695 (2003). [CrossRef] [PubMed]
- A. H. Norton and C. M. de Sterke, “Optimal poling of nonlinear photonic crystals for frequency conversion,” Opt. Lett.28, 188 (2002).
Opt. Photon. News
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
Optica Acta.
- P. D. Drummond, K. J. McNeil, and D. F. Walls, “Non-equilibrium transitions in sub/second harmonic generation I: Semiclassical theory,” Optica Acta.27(3), 321–335 (1980). [CrossRef]
Optics Communications
- G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Optics Communications113, 463 (1995). [CrossRef]
Photonics Technology Letters, IEEE
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
Phys. Rev.
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
Phys. Rev. A
- Y. Dumeige and P. Feron, “Stability and time-domain analysis of the dispersive tristability in microresonators under modal coupling,” Phys. Rev. A84(4), 043,847 (2011). [CrossRef]
- Y. Dumeige and P. Feron, “Wispering-gallery-mode analysis of phase-matched doubly resonant second-harmonic generation,” Phys. Rev. A74, 063,804 (2006). [CrossRef]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
Phys. Rev. B
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
Phys. Rev. E
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
- M. Liscidini and L. A. Andreani, “Second-harmonic generation in doubly resonant microcavities with periodic dielectric mirrors,” Phys. Rev. E73, 016,613 (2006). [CrossRef]
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- A. R. Cowan and J. F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. E65, 085,106 (2002).
Phys. Rev. Lett.
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
Phys. Today
- M. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today47, 25–32 (1994). [CrossRef]
Quantum Electronics
- I. I. Zootoverkh, K. N. V, and E. G. Lariontsev, “Enhancement of the efficiency of second-harmonic generation in microlaser,” Quantum Electronics30, 565 (2000). [CrossRef]
Other
- M. Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989).
- S. Schiller, “Principles and Applications of Optical Monolithic Total-Internal-Reflection Resonators,” Ph.D. thesis, Stanford University, Stanford, CA (1993).
- R. W. Boyd, Nonlinear Optics (Academic Press, California, 1992).
- J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University Press, 2008). URL http://ab-initio.mit.edu/book .
- R. G. Hunsperger, Integrated Optics: Theory and Technology (Springer-Verlag, 2002).
- C. L. Chen, Foundations for Guided-Wave Optics (Wiley, 2006). [CrossRef]
- E. D. Palik, ed., Handbook of optical constants of solids II (Academic Press, 1991).
2011, Kuo, Opt. Express
- P. S. Kuo and G. S. Solomon, “On- and off-resonance second-harmonic generation in GaAs microdisks,” Opt. Express19(18), 16,898–16,918 (2011). [CrossRef]
- J. S. Levy, M. A. Foster, A. L. Gaeta, and M. Lipson, “Harmonic generation in silicon nitride ring resonators,” Opt. Express19(12), 11,415–11,421 (2011). [CrossRef]
- C. Xiong, W. Pernice, K. K. Ryu, C. Schuck, K. Y. Fong, T. Palacios, and H. X. Tang, “Integrated GaN photonic circuits on silicon (100) for second harmonic generation,” Opt. Express19(11), 10,462–10,470 (2011). [CrossRef]
- Y. Dumeige and P. Feron, “Stability and time-domain analysis of the dispersive tristability in microresonators under modal coupling,” Phys. Rev. A84(4), 043,847 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant high quality photonic crystal nanocavities,” Appl. Phys. Lett.99(1), 013,114 (2011). [CrossRef]
- K. Rivoire, S. Buckley, and J. Vuckovic, “Multiply resonant photonic crystal nanocavities for nonlinear frequency conversion,” Opt. Express19(22), 22,198–22,207 (2011). [CrossRef]
- K. Rivoire, S. Buckley, F. Hatami, and J. Vuckovic, “Second harmonic generation in GaP photonic crystal waveguides,” Appl. Phys. Lett.98(26), 263,113 (2011). [CrossRef]
- A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Steven, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Comm.181, 687–702 (2010). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, and J. Vuckovic, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett.97(4), 043,103 (2010). [CrossRef]
- J. U. Fürst, D. V. Strekalov, D. Elser, M. Lassen, U. L. Andersen, C. Marquardt, and G. Leuchs, “Naturally Phase-Matched Second-Harmonic Generation in a Whispering-Gallery-Mode Resonator,” Phys. Rev. Lett.104(15), 153,901 (2010). [CrossRef] [PubMed]
- H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljacic, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities,” Phys. Rev. A79(1), 013,812 (2009). [CrossRef]
- K. Rivoire, Z. Lin, F. Hatami, W. T. Masselink, and J. Vuckovic, “Second harmonic generation in gallium phosphide photonic crystal nanocavities with ultralow continuous wave pump power,” Opt. Express17(25), 22,609–22,615 (2009). [CrossRef]
- W. Sohler, H. Hu, R. Ricken, V. Quiring, C. Vannahme, H. Herrmann, D. Büchter, S. Reza, W. Grundkötter, S. O. H. Suche, R. Nouroozi, and Y. Min, “Integrated Optical Devices in Lithium Niobate,” Opt. Photon. News19(1), 24–31 (2008). [CrossRef]
- H. Lohmeyer, J. Kalden, K. Sebald, C. Kruse, D. Hommel, and J. Gutowski, “Fine tuning of quantum-dot pillar microcavities by focused ion beam milling,” Appl. Phys. Lett.92(1), 011,116 (2008). [CrossRef]
- J. Pan, Y. Hio, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett.92(10), 103,114 (2008). [CrossRef]
- J. Bravo-Abad, A. W. Rodriguez, P. Bermel, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Enhanced nonlinear optics in photonic-crystal nanocavities,” Opt. Express15(24), 16,161–16,176 (2007). [CrossRef]
- M. Liscidini and L. A. Andreani, “Second-harmonic generation in doubly resonant microcavities with periodic dielectric mirrors,” Phys. Rev. E73, 016,613 (2006). [CrossRef]
- Y. Dumeige and P. Feron, “Wispering-gallery-mode analysis of phase-matched doubly resonant second-harmonic generation,” Phys. Rev. A74, 063,804 (2006). [CrossRef]
- L. Fan, H. Ta-Chen, M. Fallahi, J. T. Murray, R. Bedford, Y. Kaneda, J. Hader, A. R. XZakharian, J. Moloney, S. W. Koch, and W. Stolz, “Tunable watt-level blue-green vertical-external-cavity surface-emitting lasers by intracavity frequency doubling,” Appl. Phys. Lett88, 117–251,119 (2006). [CrossRef]
- I. Tomita, M. Asobe, H. Suzuki, J. Yumoto, and Y. Yoshikuni, “Broadband quasi-phase-matched second-harmonic generation in a nonlinear photonic crystal,” J. of Appl. Phys.100(2), 023,120 (2006). [CrossRef]
- D. Dalacu, S. Frederick, P. J. Poole, G. C. Aers, and R. L. Williams, “Postfabrication fine-tuning of photonic crystal microcavities in InAs/InP quantum dot membranes,” Appl. Phys. Lett.87(15), 151,107 (2005). [CrossRef]
- G. Nielson, D. Seneviratne, F. Lopez-Royo, P. Rakich, Y. Avrahami, M. Watts, H. Haus, H. Tuller, and G. Barbastathis, “Integrated wavelength-selective optical MEMS switching using ring resonator filters,” Photonics Technology Letters, IEEE17(6), 1190 –1192 (2005). [CrossRef]
- B. Maes, P. Bienstman, and R. Baets, “Modeling second-harmonic generation by use of mode expansion,” J. Opt. Soc. Am. B22, 1378 (2005). [CrossRef]
- V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Nonlinear Optics and Crystalline Whispering Gallery Mode Cavities,” Phys. Rev. Lett.92(4), 043,903 (2004). [CrossRef] [PubMed]
- C. W. Wong, P. T. Rakich, S. G. Johnson, M. Qi, H. I. Smith, E. P. Ippen, L. C. Kimerling, Y. Jeon, G. Barbastathis, and S.-G. Kim, “Strain-tunable silicon photonic band gap microcavities in optical waveguides,” Appl. Phys. Lett.84, 1242–1245 (2004). [CrossRef]
- T. Baehr-Jones, M. Hochberg, C. Walker, and A. Scherer, “High-Q ring resonators in thin silicon-on-insulator,” Appl. Phys. Lett.85(16), 3346–3347 (2004). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzeti, L. C. Andreani, F. Romanato, L. Businaro, E. D. Fabrizio, A. Passaseo, and M. D. Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B68, 161,306 (2003). [CrossRef]
- A. H. Norton and C. M. de Sterke, “Optimal poling of nonlinear photonic crystals for frequency conversion,” Opt. Lett.28, 188 (2002).
- A. R. Cowan and J. F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. E65, 085,106 (2002).
- G. D. Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidavovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E64, 016,609 (2001).
- G. McConnell, A. I. Ferguson, and N. Langford, “Cavity-augmented frequency tripling of a continuous wave mode-locked laser,” J. Phys. D: Appl.Phys34, 2408 (2001). [CrossRef]
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, “Enhancement of sum frequency generation near the photonic band edge under the quasiphase matching condition,” Phys. Rev. E63, 046,609 (2001). [CrossRef]
2000, Zootoverkh, Quantum Electronics
- I. I. Zootoverkh, K. N. V, and E. G. Lariontsev, “Enhancement of the efficiency of second-harmonic generation in microlaser,” Quantum Electronics30, 565 (2000). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Erratum: “Harmonic inversion of time signals and its applications”,” J. Chem. Phys.109, 4128 (1998). [CrossRef]
- V. A. Mandelshtam and H. S. Taylor, “Harmonic inversion of time signals and its applications,” J. Chem. Phys.107(17), 6756–6769 (1997). See erratum. [CrossRef]
- A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, “Phase matching using an isotropic nonlinear optical material,” Letters to Nature391, 463–466 (1997).
- G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Optics Communications113, 463 (1995). [CrossRef]
- M. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today47, 25–32 (1994). [CrossRef]
- R. Paschotta, K. Fiedler, P. Kurz, and J. Mlynek, “Nonlinear mode coupling in doubly resonant frequency doublers,” Appl. Phys. Lett.58, 117 (1994).
- M. Ohashi, T. Kondo, and R. Ito, “Determination of quadratic nonlinear optical coefficient of AlxGa1−xAs system by the method of reflected second harmonics,” J. Appl. Phys.74(1), 596–601 (1993). [CrossRef]
- K. Grygiel and P. Szlatchetka, “Chaos in second-harmonic generation of light. The case of a strain of pulses.”Opt. Comm.91, 241–246 (1992). [CrossRef]
- M. Fejer, G. Magel, D. Jundt, and R. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quant. Elec.28(11), 2631–2654 (1992). [CrossRef]
- M. Brieger, H. Busener, A. Hese, F. V. Moers, and A. Renn, “Enhancement of single frequency SHG in a passive ring resonator,” Opt. Commun.38, 423–426 (1981). [CrossRef]
- P. D. Drummond, K. J. McNeil, and D. F. Walls, “Non-equilibrium transitions in sub/second harmonic generation I: Semiclassical theory,” Optica Acta.27(3), 321–335 (1980). [CrossRef]
- A. I. Gerguson and M. H. Dunn, “Intracavity second harmonic generation in continuous-wave dye lasers,” IEEE J. Quantum Electron.13, 751–756 (1977). [CrossRef]
- R. G. Smith, “Theory of intracavity optical second-harmonic generation,” IEEE J. Quantum Electron.6, 215–223 (1970). [CrossRef]
- A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron.2, 109–124 (1966). [CrossRef]
- J. A. Armstrong, N. loembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev.127, 1918–1939 (1962). [CrossRef]
- M. Liscidini and L. A. Andreani, “Highly efficient second-harmonic generation in doubly resonant planar microcavities,” Appl. Phys. Lett.85, 1883 (2004).
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