Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission

Salvatore Campione; Larry K. Warne; Lorena I. Basilio

doi:10.1002/2017RS006274

Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission

Salvatore Campione
, Larry K. Warne
, Lorena I. Basilio

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper we develop a fully retarded, dipole approximation model to estimate the effective polarizabilities of a dimer made of dielectric resonators. They are computed from the polarizabilities of the two resonators composing the dimer. We analyze the situation of full cubes as well as split cubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via full-wave simulations as well as ones computed via a quasi-static, dipole approximation. We observe good agreement between the fully retarded solution and the full-wave results, whereas the quasi-static approximation is less accurate for the problem at hand. The developed model can be used to predict the electric and magnetic resonances of a dimer under parallel or orthogonal (to the dimer axis) excitation. This is particularly helpful when interested in locating frequencies at which the dimer will emit directional radiation.

Original language	English
Pages (from-to)	1235-1241
Number of pages	7
Journal	Radio Science
Volume	52
Issue number	9
DOIs	https://doi.org/10.1002/2017RS006274
State	Published - Sep 2017
Externally published	Yes

Funding

This work was supported in part by the Laboratory Directed Research and Development program at Sandia National Laboratories and in part by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA-0003525. We note that there are no data-sharing issues since all of the numerical information is provided in the figures produced by solving the equations in the paper.

Keywords

dielectric resonators
dimers
metamaterials

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10.1002/2017RS006274

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title = "Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission",

abstract = "In this paper we develop a fully retarded, dipole approximation model to estimate the effective polarizabilities of a dimer made of dielectric resonators. They are computed from the polarizabilities of the two resonators composing the dimer. We analyze the situation of full cubes as well as split cubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via full-wave simulations as well as ones computed via a quasi-static, dipole approximation. We observe good agreement between the fully retarded solution and the full-wave results, whereas the quasi-static approximation is less accurate for the problem at hand. The developed model can be used to predict the electric and magnetic resonances of a dimer under parallel or orthogonal (to the dimer axis) excitation. This is particularly helpful when interested in locating frequencies at which the dimer will emit directional radiation.",

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author = "Salvatore Campione and Warne, \{Larry K.\} and Basilio, \{Lorena I.\}",

year = "2017",

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doi = "10.1002/2017RS006274",

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T1 - Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission

AU - Campione, Salvatore

AU - Warne, Larry K.

AU - Basilio, Lorena I.

PY - 2017/9

Y1 - 2017/9

N2 - In this paper we develop a fully retarded, dipole approximation model to estimate the effective polarizabilities of a dimer made of dielectric resonators. They are computed from the polarizabilities of the two resonators composing the dimer. We analyze the situation of full cubes as well as split cubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via full-wave simulations as well as ones computed via a quasi-static, dipole approximation. We observe good agreement between the fully retarded solution and the full-wave results, whereas the quasi-static approximation is less accurate for the problem at hand. The developed model can be used to predict the electric and magnetic resonances of a dimer under parallel or orthogonal (to the dimer axis) excitation. This is particularly helpful when interested in locating frequencies at which the dimer will emit directional radiation.

AB - In this paper we develop a fully retarded, dipole approximation model to estimate the effective polarizabilities of a dimer made of dielectric resonators. They are computed from the polarizabilities of the two resonators composing the dimer. We analyze the situation of full cubes as well as split cubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via full-wave simulations as well as ones computed via a quasi-static, dipole approximation. We observe good agreement between the fully retarded solution and the full-wave results, whereas the quasi-static approximation is less accurate for the problem at hand. The developed model can be used to predict the electric and magnetic resonances of a dimer under parallel or orthogonal (to the dimer axis) excitation. This is particularly helpful when interested in locating frequencies at which the dimer will emit directional radiation.

KW - dielectric resonators

KW - dimers

KW - metamaterials

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DO - 10.1002/2017RS006274

M3 - Article

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SN - 0048-6604

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JO - Radio Science

JF - Radio Science

IS - 9

ER -

Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission

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