Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical theory of whispering gallery modes   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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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg