Point dipole and quadrupole scattering approximation to collectively responding resonator systems

Watson, Derek W. and Jenkins, Stewart D. and Ruostekoski, Janne (2017) Point dipole and quadrupole scattering approximation to collectively responding resonator systems. Physical review B, 96 (3). ISSN 2469-9969

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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.

Item Type:
Journal Article
Journal or Publication Title:
Physical review B
Additional Information:
© 2017 American Physical Society
ID Code:
123637
Deposited By:
Deposited On:
26 Feb 2018 16:18
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Sep 2020 04:05