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Point dipole and quadrupole scattering approximation to collectively responding resonator systems

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Point dipole and quadrupole scattering approximation to collectively responding resonator systems. / Watson, Derek W.; Jenkins, Stewart D.; Ruostekoski, Janne.
In: Physical review B, Vol. 96, No. 3, 035403, 05.07.2017.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Watson DW, Jenkins SD, Ruostekoski J. Point dipole and quadrupole scattering approximation to collectively responding resonator systems. Physical review B. 2017 Jul 5;96(3):035403. doi: 10.1103/PhysRevB.96.035403

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Watson, Derek W. ; Jenkins, Stewart D. ; Ruostekoski, Janne. / Point dipole and quadrupole scattering approximation to collectively responding resonator systems. In: Physical review B. 2017 ; Vol. 96, No. 3.

Bibtex

@article{0bb22543661b47ceab15d6141108d858,
title = "Point dipole and quadrupole scattering approximation to collectively responding resonator systems",
abstract = "We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The contributions of the electric quadrupole moment to electromagnetically-mediated interactions between the scatterers are derived in detail for a system where each scatterer represents a linear RLC circuit resonator, representing common metamaterial resonators in radiofrequency, microwave, and optical regimes. The resulting theory includes a closed set of equations for an ensemble of discrete resonators that are radiatively coupled to each other by propagating electromagnetic fields, incorporating potentially strong interactions and recurrent scattering processes. The effective model is illustrated and tested for examples of pairs of interacting point electric dipoles, where each pair can be qualitatively replaced by a model point emitter with different multipole radiation moments.",
author = "Watson, {Derek W.} and Jenkins, {Stewart D.} and Janne Ruostekoski",
note = "{\textcopyright} 2017 American Physical Society",
year = "2017",
month = jul,
day = "5",
doi = "10.1103/PhysRevB.96.035403",
language = "English",
volume = "96",
journal = "Physical review B",
issn = "2469-9969",
publisher = "AMER PHYSICAL SOC",
number = "3",

}

RIS

TY - JOUR

T1 - Point dipole and quadrupole scattering approximation to collectively responding resonator systems

AU - Watson, Derek W.

AU - Jenkins, Stewart D.

AU - Ruostekoski, Janne

N1 - © 2017 American Physical Society

PY - 2017/7/5

Y1 - 2017/7/5

N2 - We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The contributions of the electric quadrupole moment to electromagnetically-mediated interactions between the scatterers are derived in detail for a system where each scatterer represents a linear RLC circuit resonator, representing common metamaterial resonators in radiofrequency, microwave, and optical regimes. The resulting theory includes a closed set of equations for an ensemble of discrete resonators that are radiatively coupled to each other by propagating electromagnetic fields, incorporating potentially strong interactions and recurrent scattering processes. The effective model is illustrated and tested for examples of pairs of interacting point electric dipoles, where each pair can be qualitatively replaced by a model point emitter with different multipole radiation moments.

AB - We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The contributions of the electric quadrupole moment to electromagnetically-mediated interactions between the scatterers are derived in detail for a system where each scatterer represents a linear RLC circuit resonator, representing common metamaterial resonators in radiofrequency, microwave, and optical regimes. The resulting theory includes a closed set of equations for an ensemble of discrete resonators that are radiatively coupled to each other by propagating electromagnetic fields, incorporating potentially strong interactions and recurrent scattering processes. The effective model is illustrated and tested for examples of pairs of interacting point electric dipoles, where each pair can be qualitatively replaced by a model point emitter with different multipole radiation moments.

U2 - 10.1103/PhysRevB.96.035403

DO - 10.1103/PhysRevB.96.035403

M3 - Journal article

VL - 96

JO - Physical review B

JF - Physical review B

SN - 2469-9969

IS - 3

M1 - 035403

ER -