Optical and Quantum Electronics

, Volume 36, Issue 1, pp 213–221

Mathematical study of the two-dimensional lasing problem for the whispering-gallery modes in a circular dielectric microcavity


DOI: 10.1023/B:OQEL.0000015641.19947.9c

Cite this article as:
Smotrova, E.I. & Nosich, A.I. Optical and Quantum Electronics (2004) 36: 213. doi:10.1023/B:OQEL.0000015641.19947.9c


Microdisk lasers are investigated for their thresholds characteristics. We present a novel approach for studying the threshold gains of the whispering-gallery (WG) and other modes based on solving the boundary value problem for the Maxwell's equations. The novelty is that we consider the real-value pairs of frequencies and material gains as eigenvalues. In the two-dimensional (2D) approximation this problem is reduced to the set of independent transcendental equations. A Newton's method is further used to calculate the thresholds and natural frequencies numerically.

dielectric resonatormicrodisk laserthreshold gainwhispering-gallery mode

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.Institute of Radio-Physics and Electronics, NASUKharkovUkraine