Table of Contents
Physics Research International
Volume 2014 (2014), Article ID 615605, 10 pages
http://dx.doi.org/10.1155/2014/615605
Research Article

Analytical Approximations of Whispering Gallery Modes in Anisotropic Ellipsoidal Resonators

1Institute of Applied Physics, Friedrich-Schiller University Jena, Max-Wien-Platz, 07743 Jena, Germany
2Max Planck Institute for the Science of Light, Günther-Scharowsky-Straße 1, Bau 24, 91058 Erlangen, Germany
3Institute for Optics, Information and Photonics, University of Erlangen-Nurmberg, Staudtstraße 7/B2, 91058 Erlangen, Germany

Received 1 May 2014; Accepted 12 November 2014; Published 10 December 2014

Academic Editor: Lorenzo Pavesi

Copyright © 2014 Marco Ornigotti and Andrea Aiello. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Numerical evolutions of whispering gallery modes of both isotropic and anisotropic spheroidal resonators are presented and are used to build analytical approximations of these modes. Such approximations are carried out mainly to have the possibility to have manageable analytic formulas for the eigenmodes and eigenfrequencies of anisotropic resonators. A qualitative analysis of ellipsoidal anisotropic modes in terms of superposition of spherical modes is also presented.