@inproceedings{d6aba4eb098143fc9778e6b1f7fc9ee1,
title = "Behavior of the Lorenz-Mie poles in the complex space of sphere parameters",
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. ",
author = "Romanov, {Andrey V.} and Yurkin, {Maxim A.}",
note = "Publisher Copyright: {\textcopyright} 2020 Author(s). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020 ; Conference date: 14-09-2020 Through 18-09-2020",
year = "2020",
month = dec,
day = "8",
doi = "10.1063/5.0032044",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Pavel Belov and Mihail Petrov",
booktitle = "5th International Conference on Metamaterials and Nanophotonics, METANANO 2020",
}