Journal
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS
Volume 11, Issue 5, Pages 1135-1142Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JSTQE.2005.853848
Keywords
microdisk; threshold; whispering gallery modes
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An electromagnetic analysis of thin-disk semiconductor resonators with uniform and nonuniform gain regions is presented. A cold-cavity-with-gain Maxwellian formulation, including accurate boundary and radiation conditions, is considered as an eigenvalue problem, for the real-valued parameters of frequency and threshold material gain. Although the well-known approximate effective-index method is used to reduce a three-dimensional (3-D) field problem to a two-demensional (2-D) one, a rigorous formulation of the latter is retained. A quasi-3-D feature is provided through full account of the multiple-wave nature and dispersion of the effective index. Results obtained quantify the ultralow thresholds of the whispering-gallery modes and show the advantage of a ring-shaped gain region.
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