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 fullyretarded, 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 fullcubes as well as splitcubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via fullwave simulations as well as ones computed via a quasistatic, dipole approximation. We observe good agreement between the fullyretarded solution and the fullwave results, whereas the quasistatic 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:

 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1399502
 Report Number(s):
 SAND20176183J
Journal ID: ISSN 00486604; 654406
 Grant/Contract Number:
 AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Radio Science
 Additional Journal Information:
 Journal Volume: 52; Journal Issue: 9; Journal ID: ISSN 00486604
 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 fullyretarded, 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 fullcubes as well as splitcubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via fullwave simulations as well as ones computed via a quasistatic, dipole approximation. We observe good agreement between the fullyretarded solution and the fullwave results, whereas the quasistatic 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}
}
Works referenced in this record:
A subwavelength plasmonic metamolecule exhibiting magneticbased optical Fano resonance
journal, January 2013
 Shafiei, Farbod; Monticone, Francesco; Le, Khai Q.
 Nature Nanotechnology, Vol. 8, Issue 2
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
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
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
A Quick and Easy Simulation Procedure to Aid in Metamaterial UnitCell Design
journal, January 2011
 Basilio, Lorena I.; Warne, L. K.; Langston, W. L.
 IEEE Antennas and Wireless Propagation Letters, Vol. 10
Directional Fano Resonance in a Silicon Nanosphere Dimer
journal, February 2015
 Yan, Jiahao; Liu, Pu; Lin, Zhaoyong
 ACS Nano, Vol. 9, Issue 3
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. 21302141
Symmetric and antisymmetric resonances in a pair of metaldielectric nanoshells: tunability and closedform formulas
journal, January 2010
 Vallecchi, Andrea
 Journal of Nanophotonics, Vol. 4, Issue 1
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
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
Physical configuration and performance modeling of alldielectric metamaterials
journal, January 2008
 Ahmadi, Akram; Mosallaei, Hossein
 Physical Review B, Vol. 77, Issue 4
Electric and magnetic hotspots in dielectric nanowire dimers
journal, January 2015
 Mirzaei, Ali; Miroshnichenko, Andrey E.
 Nanoscale, Vol. 7, Issue 14
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
Anisotropic polarizability tensor of a dimer of nanospheres in the vicinity of a plane substrate
journal, August 2005
 Pinchuk, Anatoliy; Schatz, George
 Nanotechnology, Vol. 16, Issue 10
Electromagnetic Resonances of Silicon Nanoparticle Dimers in the Visible
journal, June 2015
 Zywietz, Urs; Schmidt, Mikolaj K.; Evlyukhin, Andrey B.
 ACS Photonics, Vol. 2, Issue 7
Magnetic and electric coherence in forward and backscattered electromagnetic waves by a single dielectric subwavelength sphere
journal, January 2012
 Geffrin, J. M.; GarcíaCámara, B.; GómezMedina, R.
 Nature Communications, Vol. 3, Issue 1
Erratum: “Polarizabilities and effective parameters for collections of spherical nanoparticles formed by pairs of concentric doublenegative, singlenegative, and∕or doublepositive metamaterial layers” [J. Appl. Phys. 97, 094310 (2005)]
journal, March 2006
 Alù, Andrea; Engheta, Nader
 Journal of Applied Physics, Vol. 99, Issue 6
Observation of Fano Resonances in AllDielectric Nanoparticle Oligomers
journal, February 2014
 Chong, Katie E.; Hopkins, Ben; Staude, Isabelle
 Small, Vol. 10, Issue 10
Scattering properties of metaatoms
journal, June 2011
 Rockstuhl, C.; Menzel, C.; Mühlig, S.
 Physical Review B, Vol. 83, Issue 24
Coupling Effect for Dielectric Metamaterial Dimer
journal, January 2012
 Zhang, Fuli; Sadaune, Veronique; Kang, Lei
 Progress In Electromagnetics Research, Vol. 132
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. 129
Magnetic and Electric Hotspots with Silicon Nanodimers
journal, February 2015
 Bakker, Reuben M.; Permyakov, Dmitry; Yu, Ye Feng
 Nano Letters, Vol. 15, Issue 3
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. 22932307
Optical magnetic mirrors without metals
journal, January 2014
 Liu, Sheng; Sinclair, Michael B.; Mahony, Thomas S.
 Optica, Vol. 1, Issue 4, p. 250256