Behavior of the Lorenz-Mie poles in the complex space of sphere parameters

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Abstract

We studied the position and motion of poles of Lorenz-Mie (LM) coefficients, responsible for LM resonances, in the space of complex parameters: the size, the refractive index of the sphere, and the refractive index of the host medium. We performed a comprehensive theoretical analysis and classified all resonances according to their asymptotic behavior and origin. In particular, we proved a few lemmas concerning the logarithmic derivatives of Riccati-Bessel functions and used them to prove the absence of LM poles in some areas of the complex plane (depending on the host medium). We also performed extensive numerical calculations of pole trajectories, which fully confirm all theoretical predictions and provide additional details in the intermediate range of size parameters.

Original languageEnglish
Title of host publication5th International Conference on Metamaterials and Nanophotonics, METANANO 2020
EditorsPavel Belov, Mihail Petrov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440340
DOIs
Publication statusPublished - 8 Dec 2020
Event5th International Conference on Metamaterials and Nanophotonics, METANANO 2020 - St. Petersburg, Virtual, Russian Federation
Duration: 14 Sep 202018 Sep 2020

Publication series

NameAIP Conference Proceedings
Volume2300
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference5th International Conference on Metamaterials and Nanophotonics, METANANO 2020
CountryRussian Federation
CitySt. Petersburg, Virtual
Period14.09.202018.09.2020

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