Optimization of circular photonic crystal cavities �?? beyond coupled mode theory
Optics Express, Vol. 13, Issue 23, pp. 9272-9279 (2005)
http://dx.doi.org/10.1364/OPEX.13.009272
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Abstract
We study comprehensively using numerical simulations a new class of resonators, based on a circular photonic crystal reflector. The dependence of the resonator characteristics on the reflector design and parameters is studied in detail. The numerical results are compared to analytic results based on coupled mode theory. High quality factors and small modal volumes are found for a wide variety of design parameters.
© 2005 Optical Society of America
OCIS Codes
(130.2790) Integrated optics : Guided waves
(140.3410) Lasers and laser optics : Laser resonators
(230.5750) Optical devices : Resonators
ToC Category:
Research Papers
History
Original Manuscript: September 27, 2005
Revised Manuscript: October 31, 2005
Published: November 14, 2005
Citation
Derek Chang, Jacob Scheuer, and Amnon Yariv, "Optimization of circular photonic crystal cavities �?? beyond coupled mode theory," Opt. Express 13, 9272-9279 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-23-9272
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References
- C. K. Madsen and J. H. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach, (Wiley-Interscience, New York, 1999).
- B. E. Little, �??Second-order filtering and sensing with partially coupled traveling waves in a single resonator,�?? Opt. Lett. 23, 1570-1572 (1998). [CrossRef]
- A. Melloni, R. Costa, P. Monguzzi, and M. Martinelli, "Ring-resonator filters in silicon oxynitride technology for dense wavelength-division multiplexing systems,�?? Opt. Lett. 28, 1567-1569 (2003). [CrossRef] [PubMed]
- J. E. Heebner and R. W. Boyd, �??'Slow�?? and 'fast' light in resonator-coupled waveguides,�?? J. Mod. Opt. 49, 2629-2636 (2002). [CrossRef]
- A. Melloni, F. Morichetti, and M. Mertinelli, �??Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures,�?? Opt. Quantum Electron. 35, 365 (2003). [CrossRef]
- J. Scheuer, G. T. Paloczi, J. K. S. Poon and A. Yariv, �??Coupled resonator optical waveguides: Towards slowing and storing of light,�?? Opt. Photon. News 16, 36-40 (2005). [CrossRef]
- A. Yariv, �??Critical coupling and its control in optical waveguide-ring resonator systems,�?? IEEE Photonics Technol. Lett. 14, 483-485 (2002). [CrossRef]
- C. Y. Chao and L. J. Guo, �??Biochemical sensors based on polymer microrings with sharp asymmetrical resonance,�?? Appl. Phys. Lett. 83, 1527-1529 (2003). [CrossRef]
- See, for example, K. J. Vahala, �??Optical microcavities,�?? Nature (London) 424, 839-846 (2003), and references therein. [CrossRef] [PubMed]
- J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, �??Design of photonic crystal microcavities for cavity QED,�?? Phys. Rev. E 65, 016608 (2001). [CrossRef]
- O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O'Brien, P. D. Dapkus and I. Kim, �??Two-dimensional photonic band-gap defect mode laser,�?? Science 284, 1819-1821 (1999). [CrossRef] [PubMed]
- H. Y. Ryu , M. Notomi and Y. H. Lee, �??High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities,�?? Appl. Phys. Lett. 21, 4294-4296 (2003). [CrossRef]
- H. Y. Ryu , M. Notomi, G. H. Kim and Y. H. Lee, �??High quality-factor whispering-gallery mode in the photonic crystal hexagonal disk cavity,�?? Opt. Express 12, 1708-1719 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1708">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1708</a>. [CrossRef] [PubMed]
- Y. Akahane, T. Asano, B. S. Song and S. Noda, �??High-Q photonic nanocavity in a two-dimensional photonic crystal,�?? Nature 425, 944-947 (2003). [CrossRef] [PubMed]
- B. S. Song, S. Noda, T. Asano and Y. Akahane, �??Ultra-high-Q photonic double-heterostructure nanocavity,�?? Nature Materials 4, 207-210 (2005). [CrossRef]
- M. Lon�?ar et al. �??High quality factors and room-temperature lasing in a modified single-defect photonic crystal cavity,�?? Opt. Lett. 29, 721-723 (2004). [CrossRef] [PubMed]
- J. Scheuer and A. Yariv, �??Annular Bragg defect mode resonators,�?? J. Opt. Soc. Am. B. 20, 2285-2291 (2003). [CrossRef]
- J. Scheuer and A. Yariv, "Coupled-waves approach to the design and analysis of Bragg and photonic crystal annular resonators," IEEE J. Quantum Electron. 39, 1555-1562 (2003). [CrossRef]
- J. Scheuer and A. Yariv, �??Circular photonic crystal resonators,�?? Physical Review E 70, 036603 (2004). [CrossRef]
- J. Scheuer, W. M. J. Green, G. DeRose and A. Yariv, �??Low threshold two-dimensional annular Bragg lasers,�?? Opt. Lett. 29, 2641-2643 (2004). [CrossRef] [PubMed]
- J. Scheuer, W. M. J. Green, G. DeRose and A. Yariv, �??InGaAsP annular Bragg lasers: Theory, applications and modal properties,�?? IEEE J. Sel. Top. Quantum Electron. 11, 476-484 (2005). [CrossRef]
- K. Srinivasan and O. Painter, �??Momentum space design of high-Q photonic crystal optical cavities,�?? Opt. Express 10, 670-684 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-15-670">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-15-670</a>. [PubMed]
- J. Vu�?kovi�? et al., �??Optimization of the Q factor in photonic crystal microcavities,�?? IEEE J. Quantum Electron. 38, 850-856 (2002). [CrossRef]
- J. Scheuer, W. M. J. Green, G. DeRose and A. Yariv, �??Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,�?? Appl. Phys. Lett. 86, 251101 (2005). [CrossRef]
- G. N. Watson, Theory of Bessel Functions, 2nd ed. (London, U.K. Cambridge Univ. Press, 1952).
- G. Mur, �??Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,' IEEE Tansactions on Electromagnetic Compatibility EMC-23, 377-382 (1981). [CrossRef]
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