Abstract

Scattering of light from homogeneous spherical particles can exhibit sharp resonances as functions of particle size, wavelength, or refractive index. Such resonances, usually known as morphology-dependent resonances or whispering gallery modes, have been exhaustively studied using Mie theory. This paper demonstrates that the Debye series expansion provides a succinct and easily understood representation of these resonances: For example, the Debye coefficient $R_n^{121}$ determines (a) the exact conditions for resonance, (b) the number of terms required to replicate the Mie result, and (c) the $Q$-factor of the resonance.

© 2021 Optical Society of America

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Supplementary Material (1)

NameDescription
» Visualization 1       Animation of Debye series results.

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Equations (7)

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