Modal reflectivity in finite-depth two-dimensional photonic-crystal microcavities

We present finite-difference time-domain calculations of the Q factor for an optical microcavity defined by a slab waveguide and two-dimensional photonic-crystal end mirrors. The effect of the finite depth of the photonic crystal on the cavity s optical modes is examined. From these calculations, we can optimize the performance of the photonic-crystal mirrors and determine the loss mechanisms within optical cavities defined by these structures. The Q of the cavity modes is shown to be strongly dependent on the depth of the holes defining the photonic crystal, as well as the refractive index of the material surrounding the waveguide core.

[1]  E. Purcell,et al.  Resonance Absorption by Nuclear Magnetic Moments in a Solid , 1946 .

[2]  K. Chamberlin,et al.  Modeling good conductors using the finite-difference, time-domain technique , 1995 .

[3]  E. Yablonovitch,et al.  Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.

[4]  Thomas F. Krauss,et al.  Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths , 1996, Nature.

[5]  Eli Yablonovitch,et al.  Lithographic Band Gap Tuning in Photonic Band Gap Crystals , 1996 .

[6]  M. Boroditsky,et al.  Photonic crystals boost light emission , 1997 .

[7]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[8]  Wolfgang Ehrfeld,et al.  Fabrication of photonic crystals by deep x-ray lithography , 1997 .

[9]  Optical characterization of waveguide based photonic microstructures , 1996 .

[10]  Wolfgang J. R. Hoefer,et al.  The Finite-Difference-Time-Domain Method and its Application to Eigenvalue Problems , 1986 .

[11]  L. Coldren,et al.  Diode Lasers and Photonic Integrated Circuits , 1995 .

[12]  Yamamoto,et al.  Spontaneous-emission coupling factor and mode characteristics of planar dielectric microcavity lasers. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[13]  Donald L. Bullock,et al.  Photonic band structure investigation of two-dimensional Bragg reflector mirrors for semiconductor laser mode control , 1993 .

[14]  J. Howard,et al.  Optical electronics. , 1967, Applied optics.

[15]  Amnon Yariv,et al.  Lasers incorporating 2D photonic bandgap mirrors , 1996 .

[16]  Thomas Weiland,et al.  Solution of Maxwell's equations , 1992 .

[17]  G. Kweon,et al.  Quantum electrodynamics in photonic crystals , 1995 .

[18]  Electro-optics.  Conference on Lasers and Electro-optics : summaries of papers presented at the Conference on Lasers and Electro-Optics, May 2-7, 1993, Baltimore, Maryland , 1993 .

[19]  Toshihiko Baba,et al.  Fabrication and photoluminescence studies of GaInAsP/InP 2-dimensional photonic crystals , 1996 .

[20]  D. Larkman,et al.  Photonic crystals , 1999, International Conference on Transparent Optical Networks (Cat. No. 99EX350).

[21]  Sakoda.  Transmittance and Bragg reflectivity of two-dimensional photonic lattices. , 1995, Physical review. B, Condensed matter.

[22]  John Litva,et al.  Fast finite-difference time-domain analysis of resonators using digital filtering and spectrum estimation techniques , 1992 .

[23]  M. Kanskar,et al.  OBSERVATION OF LEAKY SLAB MODES IN AN AIR-BRIDGED SEMICONDUCTOR WAVEGUIDE WITH A TWO-DIMENSIONAL PHOTONIC LATTICE , 1997 .