Finite-difference time-domain calculation of the spontaneous emission coupling factor in optical microcavities

We present a general method for the /spl beta/ factor calculation in optical microcavities. The analysis is based on the classical model for atomic transitions in a semiconductor active medium. The finite-difference time-domain method is used to evolve the electromagnetic fields of the system and calculate the total radiated energy, as well as the energy radiated into the mode of interest. We analyze the microdisk laser and compare our result with the previous theoretical and experimental analyses. We also calculate the /spl beta/ factor of the microcavity based on a two-dimensional (2-D) photonic crystal in an optically thin dielectric slab. From the /spl beta/ calculations, we are able to estimate the coupling to radiation modes in both the microdisk and the 2-D photonic crystal cavity, thereby showing the effectiveness of the photonic crystal in suppressing in-plane radiation modes.

[1]  Amnon Yariv,et al.  Finite-difference time-domain calculation of spontaneous emission lifetime in a microcavity , 1999 .

[2]  Axel Scherer,et al.  Defect Modes of a Two-Dimensional Photonic Crystal in an Optically Thin Dielectric Slab , 1999 .

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

[4]  Amnon Yariv,et al.  Photonic bandgap membrane microresonator , 1998 .

[5]  J. Joannopoulos,et al.  Microcavities in photonic crystals: Mode symmetry, tunability, and coupling efficiency. , 1996, Physical review. B, Condensed matter.

[6]  A. F. J. Levi,et al.  The spectrum of microdisk lasers , 1996 .

[7]  Gu Changzhi,et al.  WHISPERING-GALLERY MODE STRUCTURE IN SEMICONDUCTOR MICRODISK LASERS AND CONTROL OF THE SPONTANEOUS EMISSION FACTOR , 1996 .

[8]  Shanhui Fan,et al.  Air‐bridge microcavities , 1995 .

[9]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[10]  Mee Koy Chin,et al.  Estimation of the spontaneous emission factor for microdisk lasers via the approximation of whispering gallery modes , 1994 .

[11]  Michel Piché,et al.  Photonic bandgaps in periodic dielectric structures , 1993 .

[12]  Seng-Tiong Ho,et al.  Spontaneous emission from excitons in cylindrical dielectric waveguides and the spontaneous-emission factor of microcavity ring lasers , 1993 .

[13]  Kenichi Iga,et al.  Spontaneous emission factor of a microcavity DBR surface emitting laser. II. Effects of electron quantum confinements , 1992 .

[14]  H. Yokoyama,et al.  Physics and Device Applications of Optical Microcavities , 1992, Science.

[15]  Gunnar Björk,et al.  Analysis of semiconductor microcavity lasers using rate equations , 1991 .

[16]  Kenichi Iga,et al.  Spontaneous emission factor of a microcavity DBR surface-emitting laser , 1991 .

[17]  R. Glauber,et al.  Quantum optics of dielectric media. , 1991, Physical review. A, Atomic, molecular, and optical physics.

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

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

[20]  G. Mur.  Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[21]  Yasuharu Suematsu,et al.  Theoretical Spontaneous Emission Factor of Injection Lasers , 1977 .

[22]  H. Haus,et al.  Antisymmetric taper of distributed feedback lasers , 1976, IEEE Journal of Quantum Electronics.

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