Accurate analytical estimates of eigenfrequencies and dispersion in whispering-gallery spheroidal resonators

Michael L. Gorodetsky; Yuri A. Demchenko

doi:10.1117/12.914606

6 February 2012 Accurate analytical estimates of eigenfrequencies and dispersion in whispering-gallery spheroidal resonators

Michael L. Gorodetsky, Yuri A. Demchenko

Author Affiliations +

Proceedings Volume 8236, Laser Resonators, Microresonators, and Beam Control XIV; 823623 (2012) https://doi.org/10.1117/12.914606
Event: SPIE LASE, 2012, San Francisco, California, United States

Abstract

In several applications of optical whispering-gallery resonators, in particular for Kerr frequency comb generation, a possibility to calculate accurately the eigenfrequencies and geometry dependent dispersion is an important prerequisite for device optimization. While these calculations with significant time consumption may be performed numerically, analytical approximation are still quite desirable for theoretical considerations. Spheroidal geometry can fit the form of most types of whispering gallery resonators that are in use today. We propose and check numerically new accurate approximations for the frequencies and geometrical dispersion of fundamental and transversal modes of oblate and prolate spheroids using both the eikonal approximation and WKB analysis. We also suggest approximations for the distribution of optical fields in a spheroidal resonator.

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Michael L. Gorodetsky and Yuri A. Demchenko "Accurate analytical estimates of eigenfrequencies and dispersion in whispering-gallery spheroidal resonators", Proc. SPIE 8236, Laser Resonators, Microresonators, and Beam Control XIV, 823623 (6 February 2012); https://doi.org/10.1117/12.914606

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