dorsal/arxiv
View SchemaGeometrical theory of whispering gallery modes
| Authors | Michael L. Gorodetsky, Aleksey E. Fomin |
|---|---|
| Categories | |
| ArXiv ID | physics/0509226 |
| URL | https://arxiv.org/abs/physics/0509226 |
Abstract
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.
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"date_created": "2026-03-02T18:01:00.412000Z",
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"abstract": "Using quasiclassical approach rather precise analytical approximations for\nthe eigenfrequencies of whispering gallery modes in convex axisymmetric bodies\nmay be found. We use the eikonal method to analyze the limits of precision of\nquasiclassical approximation using as a practical example spheroidal dielectric\ncavity. The series obtained for the calculation of eigenfrequencies is compared\nwith the known series for dielectric sphere and with numerical calculations. We\nshow how geometrical interpretation allows expansion of the method on arbitrary\nshaped axisymmetric bodies.",
"arxiv_id": "physics/0509226",
"authors": [
"Michael L. Gorodetsky",
"Aleksey E. Fomin"
],
"categories": [
"physics.optics"
],
"title": "Geometrical theory of whispering gallery modes",
"url": "https://arxiv.org/abs/physics/0509226"
},
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