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Published on: March 6, 2017
Analysis of Mie resonances using the Debye series
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 Rn121 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.
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