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
Original Manuscript: July 13, 2001
Revised Manuscript: October 22, 2001
Published: May 20, 2002
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)