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Whispering gallery modes in a conical resonator
Authors:Ya. V. Alekseenko   A. M. Monakhov  I. V. Rozhanskii
Affiliation:(1) Department of Biomedical Engineering, Texas A&M University, 337 Zachry Engineering Center, College Station, TX 77843-3120, USA
Abstract:A conical closed resonator with perfectly conducting walls is considered. The eigenmodes of the resonator are determined in the first order of perturbation theory, in which the cone angle is a small quantity. A semiclassical approximation is constructed for an arbitrary cone angle; it is shown that the spectrum of whispering gallery modes in this approximation differs insignificantly from the eigenmode spectrum of a cylindrical cavity even for a large cone angle.
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