2005/09/27 by M. L. Gorodetsky, Michael L. Gorodetsky, Gorodetsky, Michael L. +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Optics (physics.optics) #Photonic Crystals and Applications #Photonic and Optical Devices #Photorefractive and Nonlinear Optics #physics.optics
paper · pdf · doi:10.48550/arxiv.physics/0509226
6 pages, 2 figures, reported on CAOL/POEO/LFNM-2005 conference in Yalta
arxiv created 2005/09/27 · openalex publication_date 2005/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using quasiclassical approach rather precise analytical approximations for the eigenfrequencies of whispering gallery modes in convex axisymmetric bodies may be found. We use the eikonal method to analyze the limits of precision of quasiclassical approximation using as a practical example spheroidal dielectric cavity. The series obtained for the calculation of eigenfrequencies is compared with the known series for dielectric sphere and with numerical calculations. We show how geometrical interpretation allows expansion of the method on arbitrary shaped axisymmetric bodies.