Point dipole and quadrupole scattering approximation to collectively responding resonator systems
Point dipole and quadrupole scattering approximation to collectively responding resonator systems
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.
Watson, Derek W.
4cb78431-9921-4c6e-9d68-0e8eaa3628e5
Jenkins, Stewart D.
65d861fb-b85a-4927-805a-7c906fca26c6
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Watson, Derek W.
4cb78431-9921-4c6e-9d68-0e8eaa3628e5
Jenkins, Stewart D.
65d861fb-b85a-4927-805a-7c906fca26c6
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Watson, Derek W., Jenkins, Stewart D. and Ruostekoski, Janne
(2017)
Point dipole and quadrupole scattering approximation to collectively responding resonator systems.
Physical Review B, 96.
(doi:10.1103/PhysRevB.96.035403).
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.
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Accepted/In Press date: 17 June 2017
e-pub ahead of print date: 5 July 2017
Organisations:
Mathematical Sciences, Applied Mathematics
Identifiers
Local EPrints ID: 411884
URI: http://eprints.soton.ac.uk/id/eprint/411884
ISSN: 2469-9969
PURE UUID: 73af8ecd-cdb7-449b-9b23-58ec79cdef9f
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Date deposited: 28 Jun 2017 16:31
Last modified: 15 Mar 2024 15:10
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Author:
Derek W. Watson
Author:
Stewart D. Jenkins
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