Geometrical theory of whispering gallery modes

Details Geometrical theory of whispering gallery modes Geometrical theory of whispering gallery modes

2005-09-27

arxiv.org/abs/physics/0509226v1

Physics

Optics

6 pages, 2 figures, reported on CAOL/POEO/LFNM-2005 conference in Yalta

Scientific paper

Using quasiclassical approach rather precise analytical approximations for the eigenfrequencies of whispering gallery modes in convex axisymmetric bodies may be found. We use the eikonal method to analyze the limits of precision of quasiclassical approximation using as a practical example spheroidal dielectric cavity. The series obtained for the calculation of eigenfrequencies is compared with the known series for dielectric sphere and with numerical calculations. We show how geometrical interpretation allows expansion of the method on arbitrary shaped axisymmetric bodies.

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