Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

**Polarizability and fluctuation-dissipation theorem for a point dipole : Does shape matter?** / Yurkin, Maxim A.; Moskalensky, Alexander E.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Yurkin, MA & Moskalensky, AE 2020, Polarizability and fluctuation-dissipation theorem for a point dipole: Does shape matter? в P Belov & M Petrov (ред.), *5th International Conference on Metamaterials and Nanophotonics, METANANO 2020.*, 020136, AIP Conference Proceedings, Том. 2300, American Institute of Physics Inc., 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020, St. Petersburg, Virtual, Российская Федерация, 14.09.2020. https://doi.org/10.1063/5.0031688

Yurkin, M. A., & Moskalensky, A. E. (2020). Polarizability and fluctuation-dissipation theorem for a point dipole: Does shape matter? в P. Belov, & M. Petrov (Ред.), *5th International Conference on Metamaterials and Nanophotonics, METANANO 2020 *[020136] (AIP Conference Proceedings; Том 2300). American Institute of Physics Inc.. https://doi.org/10.1063/5.0031688

Yurkin MA, Moskalensky AE. Polarizability and fluctuation-dissipation theorem for a point dipole: Does shape matter? в Belov P, Petrov M, Редакторы, 5th International Conference on Metamaterials and Nanophotonics, METANANO 2020. American Institute of Physics Inc. 2020. 020136. (AIP Conference Proceedings). doi: 10.1063/5.0031688

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title = "Polarizability and fluctuation-dissipation theorem for a point dipole: Does shape matter?",

abstract = "The concept of a point dipole is potentially ambiguous due to inherent singularity of electro-magnetic fields at its location. We discuss this concept from several points of view. First, we consider a point dipole as a singular point in space whose sole ability is to be polarized due to the external electric field. We introduce the source Green's dyadic that provides a unified albeit empiric description of the contribution of the dipole to the electromagnetic properties of the whole space. We argue that this is the most complete, concise, and unambiguous definition of a point dipole and its polarizability. Next, we revisit classic expressions for absorption and emission power by integration of Poynting vector over a surface enclosing the point dipole, thereby avoiding the singularity. We also consider the energy balance between the fluctuating dipole moment and the medium (thermal bath) to derive the fluctuation-dissipation theorem in terms of fluctuating dipole moment. This solves the long-standing controversy in the literature. Second, the same results can be obtained for a very small homogeneous sphere, in which the internal field is known to be constant. This leads to unambiguous microscopic definition of the particle dipole moment and polarizability in terms of its size and refractive index. Third, and most interestingly, we generalize this microscopic description to small particles of arbitrary shape. Both bare (electrostatic) and dressed (corrected) polarizabilities are defined as double integrals of the corresponding dyadic transition operator over the particle's volume. ",

author = "Yurkin, {Maxim A.} and Moskalensky, {Alexander E.}",

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 = "10.1063/5.0031688",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Pavel Belov and Mihail Petrov",

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T1 - Polarizability and fluctuation-dissipation theorem for a point dipole

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

AU - Yurkin, Maxim A.

AU - Moskalensky, Alexander E.

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

PY - 2020/12/8

Y1 - 2020/12/8

N2 - The concept of a point dipole is potentially ambiguous due to inherent singularity of electro-magnetic fields at its location. We discuss this concept from several points of view. First, we consider a point dipole as a singular point in space whose sole ability is to be polarized due to the external electric field. We introduce the source Green's dyadic that provides a unified albeit empiric description of the contribution of the dipole to the electromagnetic properties of the whole space. We argue that this is the most complete, concise, and unambiguous definition of a point dipole and its polarizability. Next, we revisit classic expressions for absorption and emission power by integration of Poynting vector over a surface enclosing the point dipole, thereby avoiding the singularity. We also consider the energy balance between the fluctuating dipole moment and the medium (thermal bath) to derive the fluctuation-dissipation theorem in terms of fluctuating dipole moment. This solves the long-standing controversy in the literature. Second, the same results can be obtained for a very small homogeneous sphere, in which the internal field is known to be constant. This leads to unambiguous microscopic definition of the particle dipole moment and polarizability in terms of its size and refractive index. Third, and most interestingly, we generalize this microscopic description to small particles of arbitrary shape. Both bare (electrostatic) and dressed (corrected) polarizabilities are defined as double integrals of the corresponding dyadic transition operator over the particle's volume.

AB - The concept of a point dipole is potentially ambiguous due to inherent singularity of electro-magnetic fields at its location. We discuss this concept from several points of view. First, we consider a point dipole as a singular point in space whose sole ability is to be polarized due to the external electric field. We introduce the source Green's dyadic that provides a unified albeit empiric description of the contribution of the dipole to the electromagnetic properties of the whole space. We argue that this is the most complete, concise, and unambiguous definition of a point dipole and its polarizability. Next, we revisit classic expressions for absorption and emission power by integration of Poynting vector over a surface enclosing the point dipole, thereby avoiding the singularity. We also consider the energy balance between the fluctuating dipole moment and the medium (thermal bath) to derive the fluctuation-dissipation theorem in terms of fluctuating dipole moment. This solves the long-standing controversy in the literature. Second, the same results can be obtained for a very small homogeneous sphere, in which the internal field is known to be constant. This leads to unambiguous microscopic definition of the particle dipole moment and polarizability in terms of its size and refractive index. Third, and most interestingly, we generalize this microscopic description to small particles of arbitrary shape. Both bare (electrostatic) and dressed (corrected) polarizabilities are defined as double integrals of the corresponding dyadic transition operator over the particle's volume.

UR - http://www.scopus.com/inward/record.url?scp=85098080462&partnerID=8YFLogxK

U2 - 10.1063/5.0031688

DO - 10.1063/5.0031688

M3 - Conference contribution

AN - SCOPUS:85098080462

T3 - AIP Conference Proceedings

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

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A2 - Petrov, Mihail

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Y2 - 14 September 2020 through 18 September 2020

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