skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

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.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1399502
Report Number(s):
SAND-2017-6183J
Journal ID: ISSN 0048-6604; 654406
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Radio Science
Additional Journal Information:
Journal Volume: 52; Journal Issue: 9; Journal ID: ISSN 0048-6604
Publisher:
American Geophysical Union
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Campione, Salvatore, Warne, Larry K., and Basilio, Lorena I. Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission: Dielectric Dimers Dipole Approximation. United States: N. p., 2017. Web. doi:10.1002/2017rs006274.
Campione, Salvatore, Warne, Larry K., & Basilio, Lorena I. Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission: Dielectric Dimers Dipole Approximation. United States. doi:10.1002/2017rs006274.
Campione, Salvatore, Warne, Larry K., and Basilio, Lorena I. Fri . "Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission: Dielectric Dimers Dipole Approximation". United States. doi:10.1002/2017rs006274. https://www.osti.gov/servlets/purl/1399502.
@article{osti_1399502,
title = {Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission: Dielectric Dimers Dipole Approximation},
author = {Campione, Salvatore and Warne, Larry K. and Basilio, Lorena I.},
abstractNote = {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.},
doi = {10.1002/2017rs006274},
journal = {Radio Science},
number = 9,
volume = 52,
place = {United States},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

Works referenced in this record:

A subwavelength plasmonic metamolecule exhibiting magnetic-based optical Fano resonance
journal, January 2013

  • Shafiei, Farbod; Monticone, Francesco; Le, Khai Q.
  • Nature Nanotechnology, Vol. 8, Issue 2
  • DOI: 10.1038/nnano.2012.249

Enhanced Magnetic and Electric Fields via Fano Resonances in Metasurfaces of Circular Clusters of Plasmonic Nanoparticles
journal, February 2014

  • Campione, Salvatore; Guclu, Caner; Ragan, Regina
  • ACS Photonics, Vol. 1, Issue 3
  • DOI: 10.1021/ph4001313

Fano resonances in metasurfaces made of linear trimers of plasmonic nanoparticles
journal, January 2013

  • Campione, Salvatore; Guclu, Caner; Ragan, Regina
  • Optics Letters, Vol. 38, Issue 24
  • DOI: 10.1364/OL.38.005216

Enhancing the magnetic field intensity with a dielectric gap antenna
journal, January 2014

  • Boudarham, Guillaume; Abdeddaim, Redha; Bonod, Nicolas
  • Applied Physics Letters, Vol. 104, Issue 2
  • DOI: 10.1063/1.4861166

A Quick and Easy Simulation Procedure to Aid in Metamaterial Unit-Cell Design
journal, January 2011

  • Basilio, Lorena I.; Warne, L. K.; Langston, W. L.
  • IEEE Antennas and Wireless Propagation Letters, Vol. 10
  • DOI: 10.1109/LAWP.2011.2171470

Directional Fano Resonance in a Silicon Nanosphere Dimer
journal, February 2015

  • Yan, Jiahao; Liu, Pu; Lin, Zhaoyong
  • ACS Nano, Vol. 9, Issue 3
  • DOI: 10.1021/nn507148z

Perturbation Theory in the Design of Degenerate Spherical Dielectric Resonators
journal, April 2013

  • Warne, Larry K.; Basilio, Lorena I.; Langston, William L.
  • IEEE Transactions on Antennas and Propagation, Vol. 61, Issue 4, p. 2130-2141
  • DOI: 10.1109/TAP.2012.2232631

Symmetric and antisymmetric resonances in a pair of metal-dielectric nanoshells: tunability and closed-form formulas
journal, January 2010


Directional visible light scattering by silicon nanoparticles
journal, February 2013

  • Fu, Yuan Hsing; Kuznetsov, Arseniy I.; Miroshnichenko, Andrey E.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2538

Electromagnetic scattering by magnetic spheres
journal, January 1983

  • Kerker, M.; Wang, D. -S.; Giles, C. L.
  • Journal of the Optical Society of America, Vol. 73, Issue 6
  • DOI: 10.1364/JOSA.73.000765

Physical configuration and performance modeling of all-dielectric metamaterials
journal, January 2008


Electric and magnetic hotspots in dielectric nanowire dimers
journal, January 2015

  • Mirzaei, Ali; Miroshnichenko, Andrey E.
  • Nanoscale, Vol. 7, Issue 14
  • DOI: 10.1039/C5NR00882D

Comparison of electric field enhancements: Linear and triangular oligomers versus hexagonal arrays of plasmonic nanospheres
journal, January 2013

  • Campione, Salvatore; Adams, Sarah M.; Ragan, Regina
  • Optics Express, Vol. 21, Issue 7
  • DOI: 10.1364/OE.21.007957

Anisotropic polarizability tensor of a dimer of nanospheres in the vicinity of a plane substrate
journal, August 2005


Electromagnetic Resonances of Silicon Nanoparticle Dimers in the Visible
journal, June 2015


Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere
journal, January 2012

  • Geffrin, J. M.; García-Cámara, B.; Gómez-Medina, R.
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms2167

Observation of Fano Resonances in All-Dielectric Nanoparticle Oligomers
journal, February 2014


Scattering properties of meta-atoms
journal, June 2011


Coupling Effect for Dielectric Metamaterial Dimer
journal, January 2012

  • Zhang, Fuli; Sadaune, Veronique; Kang, Lei
  • Progress In Electromagnetics Research, Vol. 132
  • DOI: 10.2528/PIER12081304

Perturbation Theory In The Design Of Degenerate Rectangular Dielectric Resonators
journal, January 2012

  • Warne, Larry Kevin; Basilio, Lorena I.; Langston, William L.
  • Progress In Electromagnetics Research B, Vol. 44, p. 1-29
  • DOI: 10.2528/PIERB12071610

Magnetic and Electric Hotspots with Silicon Nanodimers
journal, February 2015


Tailoring dielectric resonator geometries for directional scattering and Huygens’ metasurfaces
journal, January 2015

  • Campione, Salvatore; Basilio, Lorena I.; Warne, Larry K.
  • Optics Express, Vol. 23, Issue 3, p. 2293-2307
  • DOI: 10.1364/OE.23.002293

Optical magnetic mirrors without metals
journal, January 2014

  • Liu, Sheng; Sinclair, Michael B.; Mahony, Thomas S.
  • Optica, Vol. 1, Issue 4, p. 250-256
  • DOI: 10.1364/OPTICA.1.000250