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Behavior of the Lorenz-Mie poles in the complex space of sphere parameters. / Romanov, Andrey V.; Yurkin, Maxim A.

5th International Conference on Metamaterials and Nanophotonics, METANANO 2020. ed. / Pavel Belov; Mihail Petrov. American Institute of Physics Inc., 2020. 020104 (AIP Conference Proceedings; Vol. 2300).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Romanov, AV & Yurkin, MA 2020, Behavior of the Lorenz-Mie poles in the complex space of sphere parameters. in P Belov & M Petrov (eds), 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020., 020104, AIP Conference Proceedings, vol. 2300, American Institute of Physics Inc., 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020, St. Petersburg, Virtual, Russian Federation, 14.09.2020. https://doi.org/10.1063/5.0032044

APA

Romanov, A. V., & Yurkin, M. A. (2020). Behavior of the Lorenz-Mie poles in the complex space of sphere parameters. In P. Belov, & M. Petrov (Eds.), 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020 [020104] (AIP Conference Proceedings; Vol. 2300). American Institute of Physics Inc.. https://doi.org/10.1063/5.0032044

Vancouver

Romanov AV, Yurkin MA. Behavior of the Lorenz-Mie poles in the complex space of sphere parameters. In Belov P, Petrov M, editors, 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020. American Institute of Physics Inc. 2020. 020104. (AIP Conference Proceedings). doi: 10.1063/5.0032044

Author

Romanov, Andrey V. ; Yurkin, Maxim A. / Behavior of the Lorenz-Mie poles in the complex space of sphere parameters. 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020. editor / Pavel Belov ; Mihail Petrov. American Institute of Physics Inc., 2020. (AIP Conference Proceedings).

BibTeX

@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",

}

RIS

TY - GEN

T1 - Behavior of the Lorenz-Mie poles in the complex space of sphere parameters

AU - Romanov, Andrey V.

AU - Yurkin, Maxim A.

N1 - Publisher Copyright: © 2020 Author(s). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/12/8

Y1 - 2020/12/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85098091105&partnerID=8YFLogxK

U2 - 10.1063/5.0032044

DO - 10.1063/5.0032044

M3 - Conference contribution

AN - SCOPUS:85098091105

T3 - AIP Conference Proceedings

BT - 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020

A2 - Belov, Pavel

A2 - Petrov, Mihail

PB - American Institute of Physics Inc.

T2 - 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020

Y2 - 14 September 2020 through 18 September 2020

ER -

ID: 27328501