Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance
Abstract
Recently there has been a large interest in achieving metasurface resonances with large quality factors. In this article, we examine metasurfaces that comprised a finite number of magnetic dipoles oriented parallel or orthogonal to the plane of the metasurface and determine analytic formulas for their resonances’ quality factors. These conditions are experimentally achievable in finite-size metasurfaces made of dielectric cubic resonators at the magnetic dipole resonance. Our results show that finite metasurfaces made of parallel (to the plane) magnetic dipoles exhibit low quality factor resonances with a quality factor that is independent of the number of resonators. More importantly, finite metasurfaces made of orthogonal (to the plane) magnetic dipoles lead to resonances with large quality factors, which ultimately depend on the number of resonators comprising the metasurface. In particular, by properly modulating the array of dipole moments by having a distribution of resonator polarizabilities, one can potentially increase the quality factor of metasurface resonances even further. These results provide design guidelines to achieve a sought quality factor applicable to any resonator geometry for the development of new devices such as photodetectors, modulators, and sensors.
- Authors:
-
- Electromagnetic Theory Department, Sandia National Laboratories, Albuquerque, NM, USA
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1488867
- Alternate Identifier(s):
- OSTI ID: 1492380
- Report Number(s):
- SAND-2018-13132J
Journal ID: ISSN 1847-9804
- Grant/Contract Number:
- NA0003525
- Resource Type:
- Published Article
- Journal Name:
- Nanomaterials and Nanotechnology
- Additional Journal Information:
- Journal Name: Nanomaterials and Nanotechnology Journal Volume: 8; Journal ID: ISSN 1847-9804
- Publisher:
- SAGE Publications
- Country of Publication:
- Croatia
- Language:
- English
- Subject:
- 77 NANOSCIENCE AND NANOTECHNOLOGY; high quality factor; finite-size metasurfaces; dipole approximation; Mie resonances; magnetic dipole resonance
Citation Formats
Warne, Larry K., Jorgenson, Roy E., and Campione, Salvatore. Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance. Croatia: N. p., 2018.
Web. doi:10.1177/1847980418820161.
Warne, Larry K., Jorgenson, Roy E., & Campione, Salvatore. Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance. Croatia. https://doi.org/10.1177/1847980418820161
Warne, Larry K., Jorgenson, Roy E., and Campione, Salvatore. Tue .
"Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance". Croatia. https://doi.org/10.1177/1847980418820161.
@article{osti_1488867,
title = {Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance},
author = {Warne, Larry K. and Jorgenson, Roy E. and Campione, Salvatore},
abstractNote = {Recently there has been a large interest in achieving metasurface resonances with large quality factors. In this article, we examine metasurfaces that comprised a finite number of magnetic dipoles oriented parallel or orthogonal to the plane of the metasurface and determine analytic formulas for their resonances’ quality factors. These conditions are experimentally achievable in finite-size metasurfaces made of dielectric cubic resonators at the magnetic dipole resonance. Our results show that finite metasurfaces made of parallel (to the plane) magnetic dipoles exhibit low quality factor resonances with a quality factor that is independent of the number of resonators. More importantly, finite metasurfaces made of orthogonal (to the plane) magnetic dipoles lead to resonances with large quality factors, which ultimately depend on the number of resonators comprising the metasurface. In particular, by properly modulating the array of dipole moments by having a distribution of resonator polarizabilities, one can potentially increase the quality factor of metasurface resonances even further. These results provide design guidelines to achieve a sought quality factor applicable to any resonator geometry for the development of new devices such as photodetectors, modulators, and sensors.},
doi = {10.1177/1847980418820161},
journal = {Nanomaterials and Nanotechnology},
number = ,
volume = 8,
place = {Croatia},
year = {2018},
month = {12}
}
https://doi.org/10.1177/1847980418820161
Figures / Tables:

Works referenced in this record:
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
High-Efficiency Dielectric Huygens’ Surfaces
journal, February 2015
- Decker, Manuel; Staude, Isabelle; Falkner, Matthias
- Advanced Optical Materials, Vol. 3, Issue 6, p. 813-820
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
Ultrasensitive terahertz sensing with high-Q Fano resonances in metasurfaces
journal, October 2014
- Singh, Ranjan; Cao, Wei; Al-Naib, Ibraheem
- Applied Physics Letters, Vol. 105, Issue 17, Article No. 171101
Metamaterial-inspired silicon nanophotonics
journal, April 2017
- Staude, Isabelle; Schilling, Jörg
- Nature Photonics, Vol. 11, Issue 5
Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission
journal, August 2015
- Arbabi, Amir; Horie, Yu; Bagheri, Mahmood
- Nature Nanotechnology, Vol. 10, Issue 11, p. 937-943
Switchable and non-switchable zero backscattering of dielectric nano-resonators
journal, January 2015
- Wang, Feng; Wei, Qi-Huo; Htoon, Han
- Optical Materials Express, Vol. 5, Issue 3, p. 668-675
Polarization-Independent Silicon Metadevices for Efficient Optical Wavefront Control
journal, July 2015
- Chong, Katie E.; Staude, Isabelle; James, Anthony
- Nano Letters, Vol. 15, Issue 8, p. 5369-5374
Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission: Dielectric Dimers Dipole Approximation
journal, September 2017
- Campione, Salvatore; Warne, Larry K.; Basilio, Lorena I.
- Radio Science, Vol. 52, Issue 9
Efficient Polarization-Insensitive Complex Wavefront Control Using Huygens’ Metasurfaces Based on Dielectric Resonant Meta-atoms
journal, March 2016
- Chong, Katie E.; Wang, Lei; Staude, Isabelle
- ACS Photonics, Vol. 3, Issue 4
Scattering properties of meta-atoms
journal, June 2011
- Rockstuhl, C.; Menzel, C.; Mühlig, S.
- Physical Review B, Vol. 83, Issue 24
High-Efficiency All-Dielectric Metasurfaces for Ultracompact Beam Manipulation in Transmission Mode
journal, August 2015
- Shalaev, Mikhail I.; Sun, Jingbo; Tsukernik, Alexander
- Nano Letters, Vol. 15, Issue 9, p. 6261-6266
Imaging-based molecular barcoding with pixelated dielectric metasurfaces
journal, June 2018
- Tittl, Andreas; Leitis, Aleksandrs; Liu, Mingkai
- Science, Vol. 360, Issue 6393
Energy Storage and Radiation $Q$ of Infinite Planar Dipole Phased Arrays
journal, January 2014
- Kwon, Do-Hoon; Pozar, David M.
- IEEE Transactions on Antennas and Propagation, Vol. 62, Issue 1
Fano-resonant asymmetric metamaterials for ultrasensitive spectroscopy and identification of molecular monolayers
journal, November 2011
- Wu, Chihhui; Khanikaev, Alexander B.; Adato, Ronen
- Nature Materials, Vol. 11, Issue 1, p. 69-75
Electric and Magnetic Response in Dielectric Dark States for Low Loss Subwavelength Optical Meta Atoms
journal, July 2015
- Jain, Aditya; Moitra, Parikshit; Koschny, Thomas
- Advanced Optical Materials, Vol. 3, Issue 10
Spectral modification of array truncation effects in infrared frequency selective surfaces
journal, July 2015
- D’ Archangel, Jeffrey A.; Tucker, Eric Z.; Boreman, Glenn D.
- Infrared Physics & Technology, Vol. 71
Maximum directivity of arbitrary dipole arrays
journal, January 2015
- Shamonina, Ekaterina; Solymar, Laszlo
- IET Microwaves, Antennas & Propagation, Vol. 9, Issue 2
Realizing Optical Magnetism from Dielectric Metamaterials
journal, February 2012
- Ginn, James C.; Brener, Igal; Peters, David W.
- Physical Review Letters, Vol. 108, Issue 9, Article No. 097402
Broken Symmetry Dielectric Resonators for High Quality Factor Fano Metasurfaces
journal, November 2016
- Campione, Salvatore; Liu, Sheng; Basilio, Lorena I.
- ACS Photonics, Vol. 3, Issue 12, p. 2362-2367
A metamaterial solid-state terahertz phase modulator
journal, February 2009
- Chen, Hou-Tong; Padilla, Willie J.; Cich, Michael J.
- Nature Photonics, Vol. 3, Issue 3, p. 148-151
Metalenses at visible wavelengths: Diffraction-limited focusing and subwavelength resolution imaging
journal, June 2016
- Khorasaninejad, Mohammadreza; Chen, Wei Ting; Devlin, Robert C.
- Science, Vol. 352, Issue 6290
Fano resonance in all-dielectric binary nanodisk array realizing optical filter with efficient linewidth tuning
journal, January 2015
- Zhao, Wenyu; Leng, Xiandong; Jiang, Yongyuan
- Optics Express, Vol. 23, Issue 5, p. 6858-6866
A review of metasurfaces: physics and applications
journal, June 2016
- Chen, Hou-Tong; Taylor, Antoinette J.; Yu, Nanfang
- Reports on Progress in Physics, Vol. 79, Issue 7
All-dielectric metasurface analogue of electromagnetically induced transparency
journal, December 2014
- Yang, Yuanmu; Kravchenko, Ivan I.; Briggs, Dayrl P.
- Nature Communications, Vol. 5, Issue 1, Article No. 5753
Spectrally selective chiral silicon metasurfaces based on infrared Fano resonances
journal, May 2014
- Wu, Chihhui; Arju, Nihal; Kelp, Glen
- Nature Communications, Vol. 5, Article No. 3892
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
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
Optical magnetic mirrors without metals
journal, January 2014
- Liu, Sheng; Sinclair, Michael B.; Mahony, Thomas S.
- Optica, Vol. 1, Issue 4, p. 250-256
Figures / Tables found in this record: