## Semiclassical theory to optical resonant modes of a transparent dielectric spheroidal cavity

Applied Optics, Vol. 41, Issue 15, pp. 2955-2961 (2002)

http://dx.doi.org/10.1364/AO.41.002955

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### Abstract

We study the resonant scattering of light by a transparent dielectric spheroid. We try to understand the features of the resonant modes of a spheroidal optical cavity. In this way, we use an analogy between optics and quantum mechanics. Through this analogy it is possible to interpret resonances as quasi-bound states of light. Using semiclassical methods such as the WKB method and a uniform asymptotic expansion for spheroidal radial functions, we developed algorithms that permit us to calculate the resonance position as well as the resonance width.

© 2002 Optical Society of America

**OCIS Codes**

(260.5740) Physical optics : Resonance

(290.4020) Scattering : Mie theory

(290.5850) Scattering : Scattering, particles

**History**

Original Manuscript: July 13, 2001

Revised Manuscript: October 22, 2001

Published: May 20, 2002

**Citation**

Pedro C. G. de Moraes and Luiz G. Guimarães, "Semiclassical theory to optical resonant modes of a transparent dielectric spheroidal cavity," Appl. Opt. **41**, 2955-2961 (2002)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-15-2955

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