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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 1 — Jan. 10, 2005
  • pp: 245–255

Modal-reflectivity enhancement by geometry tuning in Photonic Crystal microcavities

C. Sauvan, G. Lecamp, P. Lalanne, and J.P. Hugonin  »View Author Affiliations


Optics Express, Vol. 13, Issue 1, pp. 245-255 (2005)
http://dx.doi.org/10.1364/OPEX.13.000245


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Abstract

When a guided wave is impinging onto a Photonic Crystal (PC) mirror, a fraction of the light is not reflected back and is radiated into the claddings. We present a theoretical and numerical study of this radiation problem for several three-dimensional mirror geometries which are important for light confinement in micropillars, air-bridge microcavities and two-dimensional PC microcavities. The cause of the radiation is shown to be a mode-profile mismatch. Additionally, design tools for reducing this mismatch by tuning the mirror geometry are derived. These tools are validated by numerical results performed with a three-dimensional Fourier modal method. Several engineered mirror geometries which lower the radiation loss by several orders of magnitude are designed.

© 2005 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(140.4780) Lasers and laser optics : Optical resonators
(230.3990) Optical devices : Micro-optical devices
(230.5750) Optical devices : Resonators

ToC Category:
Research Papers

History
Original Manuscript: October 25, 2004
Revised Manuscript: December 22, 2004
Manuscript Accepted: December 30, 2004
Published: January 10, 2005

Citation
C. Sauvan, G. Lecamp, P. Lalanne, and J.P. Hugonin, "Modal-reflectivity enhancement by geometry tuning in Photonic Crystal microcavities," Opt. Express 13, 245-255 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-1-245


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References

  1. K.J.  Vahala, “Optical microcavities,” Nature 424, 839–846 (2003). [CrossRef] [PubMed]
  2. J.P.  Zhang, D.Y.  Chu, S.L.  Wu, W.G.  Bi, R.C.  Tiberio, R.M.  Joseph, A.  Taflove, C.W.  Tu, S.T.  Ho, “Nanofabrication of 1-D photonic bandgap structures along a photonic wire,” IEEE Photon. Technol. Lett. 8, 491–493 (1996). [CrossRef]
  3. J.S.  Foresi, P.R.  Villeneuve, J.  Ferrera, E.R.  Thoen, G.  Steinmeyer, S.  Fan, J.D.  Joannopoulos, L.C.  Kimerling, H.I.  Smith, E.P.  Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997). [CrossRef]
  4. T.F.  Krauss, O.  Painter, A.  Scherer, J.S.  Roberts, R.M.  De La Rue, “Photonic microstructures as laser mirrors,” Opt. Eng. 37, 1143–1148 (1998). [CrossRef]
  5. T.  Baba, M.  Hamasaki, N.  Watanabe, P.  Kaewplung, A.  Matsutani, T.  Mukaihara, F.  Koyama, K.  Iga, “A novel short-cavity laser with deep-grating distributed Bragg reflectors,” Jpn. J. Appl. Phys. 35, 1390–1394 (1996). [CrossRef]
  6. B.E.  Little, H.A.  Haus, J.S.  Foresi, L.C.  Kimerling, E.P.  Ippen, D.J.  Ripin, “Wavelength switching and routing using absorption and resonance,” IEEE Phot. Technol. Lett. 10, 816–818 (1998). [CrossRef]
  7. Y.  Akahane, T.  Asano, B.S.  Song, S.  Noda, “Investigation of high-Q channel drop filters using donor-type defects in two-dimensional photonic crystal slabs,” Appl. Phys. Lett. 83, 1512–1514 (2003). [CrossRef]
  8. H.G.  Park, J.K.  Hwang, J.  Huh, H.Y.  Ryu, Y.H.  Lee, J.S.  Kim, “Nondegenerate monopole-mode two-dimensional photonic band gap laser,” Appl. Phys. Lett. 79, 3032–3034 (2001). [CrossRef]
  9. J.M.  Gérard, B.  Gayral, “Strong Purcell Effect for InAs quantum boxes in three-dimensional solid-state microcavities,” J. Lightwave Technol. 17, 2089–2095 (1999). [CrossRef]
  10. G.S.  Solomon, M.  Pelton, Y.  Yamamoto, “Single-mode spontaneous emission from a single quantum dot in a three-dimensional microcavity,” Phys. Rev. Lett. 86, 3903–3906 (2001). [CrossRef] [PubMed]
  11. S.G.  Johnson, S.  Fan, A.  Mekis, J. D.  Joannopoulos, “Multipole-cancellation mechanism for high- Q cavities in the absence of a complete photonic band gap,” Appl. Phys. Lett. 78, 3388–3300 (2001). [CrossRef]
  12. K.  Srinivasan, O.  Painter, “Momentum space design of high-Q photonic crystal optical cavities,” Opt. Exp. 10, 670–684 (2002), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-15-670
  13. J.  Vuckovic, M.  Loncar, H.  Mabuchi, A.  Scherer, “Optimization of the Q factor in Photonic Crystal microcavities,” IEEE J. Quantum Electron. 38, 850–856 (2002). [CrossRef]
  14. Y.  Akahane, T.  Asano, B.S.  Song, S.  Noda, “High-Q photonic nanocavity in two-dimensional photonic crystal,” Nature 425, 944–947 (2003). [CrossRef] [PubMed]
  15. P.  Lalanne, S.  Mias, J.P.  Hugonin, “Two physical mechanisms for boosting the quality factor to cavity volume ratio of photonic crystal microcavities,” Opt Express 12, 458–467 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-3-458 [CrossRef] [PubMed]
  16. M.  Palamaru, P.  Lalanne, “Photonic crystal waveguides: out-of-plane losses and adiabatic modal conversion,” Appl. Phys. Lett. 78, 1466–1469 (2001). [CrossRef]
  17. P.  Lalanne, J. P.  Hugonin, “Bloch-wave engineering for high Q’s, small V’s microcavities,” IEEE J. Quantum Electron. 39, 1430–1438 (2003). [CrossRef]
  18. E.  Silberstein, P.  Lalanne, J.P.  Hugonin, Q.  Cao, “On the use of grating theory in integrated optics,” J. Opt. Soc. Am. A. 18, 2865–28275 (2001). [CrossRef]
  19. Q.  Cao, P.  Lalanne, J.P.  Hugonin, “Stable and efficient Bloch-mode computational method for one-dimensional grating waveguide,” J. Opt. Soc. Am. A 19, 335–338 (2002). [CrossRef]
  20. W.C.  Chew, W.H.  Weedon, “A 3D perfectly matched medium from modified Maxwell’s equations with stretched coordinates,” Microwave Opt. Technol. Lett. 7, 599–604 (1994). [CrossRef]
  21. N.  Château, J.P.  Hugonin, “Algorithm for the rigorous coupled-wave analysis of grating diffraction,” J. Opt. Soc. Am. A 11, 1321–1331 (1994). [CrossRef]
  22. L.  Li, “Use or Fourier series in the analysis of discontinuous periodic structures,” J. Opt. Soc. Am. A 13, 1870–1876 (1996). [CrossRef]
  23. P.  Lalanne, G.M.  Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779–784 (1996). [CrossRef]
  24. L.  Li, “New formulation of the Fourier modal method for crossed surface-relief gratings,” J.Opt. Soc. Am. A 14, 2758–2767 (1997). [CrossRef]
  25. P.  Lalanne, “Effective properties and band structures of lamellar subwavelength crystals: plane-wave method revisited,” Phys. Rev B 58, 9801–9807 (1998). [CrossRef]
  26. E.  Popov, M.  Nevière, “Grating theory: new equations in Fourier space leading to fast converging results for TM polarization,” J. Opt. Soc. Am. A 17, 1773–1784 (2000). [CrossRef]
  27. J.  Ctyroky, S.  Helfert, R.  Pregla, P.  Bienstman, R.  Baets, R.  De Ridder, R.  Stoffer, G.  Klaasse, J.  Petracek, P.  Lalanne, J.P.  Hugonin, R.M.  De La Rue, “Bragg waveguide grating as a 1D photonic band gap structure: COST 268 modelling task,” Opt. Quant. Electron. 34, 455–470 (2002). [CrossRef]
  28. C.  Sauvan, P.  Lalanne, J.C.  Rodier, J.P.  Hugonin, A.  Talneau, “Accurate modeling of line-defect Photonic Crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003). [CrossRef]
  29. P.  Lalanne, “Electromagnetic analysis of photonic crystal waveguides operating above the light cone,” IEEE J. Quantum Electron. 38, 800–804 (2002). [CrossRef]
  30. A.  Yariv, P.  Yeh, Optical waves in crystals (John Wiley & Sons, New York, 1984).
  31. A.  Chutinan, S.  Noda, “Waveguides and waveguide bends in two-dimensional photonic crystal slabs,” Phys. Rev. B 62, 4488–4492 (2000). [CrossRef]
  32. M.  Notomi, K.  Yammada, A.  Shinya, J.  Takahashi, C.  Takayashi, I.  Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 87, art. #253902 (2001). [CrossRef] [PubMed]
  33. C.  Sauvan, P.  Lalanne, J.P.  Hugonin, “Tuning holes in Photonic Crystal nanocavities,” Nature 429, 1 (2004). [CrossRef] [PubMed]
  34. H.Y.  Ryu, M.  Notomi, E.  Kuramoti, T.  Segawa, “Large spontaneous emission factor (>0.1) in the photonic crystal monopole-mode laser,” Appl. Phys. Lett. 84, 1067–1069(2004). [CrossRef]
  35. P.  Lalanne, J.P.  Hugonin, J.M.  Gérard, “Electromagnetic study of the Q of pillar microcavities in the small limit diameter,” Appl. Phys. Lett. 84, 4726–4728 (2004). [CrossRef]
  36. J.  Vuckovic, M.  Pelton, A.  Scherer, Y.  Yamamoto, “Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics,” Phys. Rev. A 66, #023808 (2002). [CrossRef]
  37. E.  Aarts, J.  Korst, Simulated Annealing and Boltzmann Machine (John Wiley & Sons, New York 1989).

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