Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leaky Modes of Solid Dielectric Spheres   In the absence of external excitation, light trapped within a dielectric
medium generally decays by leaking out, and also by getting absorbed within the
medium. We analyze the leaky modes of solid dielectric spheres by examining
solutions of Maxwell's equations for simple homogeneous, isotropic, linearly
dispersive media that admit complex-valued oscillation frequencies. We show
that, under appropriate circumstances, these leaky modes constitute a complete
set into which an initial electromagnetic field distribution inside a
dielectric sphere can be expanded. We provide the outline of a completeness
proof, and also present results of numerical calculations that illustrate the
close relationship between the leaky modes and the resonances of solid
dielectric spherical cavities.

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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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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: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th