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Proceedings Paper

Accurate analytical estimates of eigenfrequencies and dispersion in whispering-gallery spheroidal resonators
Author(s): Michael L. Gorodetsky; Yuri A. Demchenko
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Paper 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.

Paper Details

Date Published: 6 February 2012
PDF: 8 pages
Proc. SPIE 8236, Laser Resonators, Microresonators, and Beam Control XIV, 823623 (6 February 2012); doi: 10.1117/12.914606
Show Author Affiliations
Michael L. Gorodetsky, Lomonosov Moscow State Univ. (Russian Federation)
Yuri A. Demchenko, Lomonosov Moscow State Univ. (Russian Federation)

Published in SPIE Proceedings Vol. 8236:
Laser Resonators, Microresonators, and Beam Control XIV
Alexis V. Kudryashov; Alan H. Paxton; Vladimir S. Ilchenko, Editor(s)

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