title: Semiclassical theory to optical resonant modes of a transparent dielectric spheroidal cavity.
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 quasibound 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.
authors.affiliation: Departamento de Física Nuclear, Instituto de Física, Universidade Federal do Rio de Janeiro, Brazil. guaranho@if.ufrj.br
authors.forename: Pedro C G
authors.initials: PC
authors.lastname: de Moraes
authors.forename: Luiz G
authors.initials: LG
authors.lastname: Guimarães