Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance

Larry K. Warne; Roy E. Jorgenson; Salvatore Campione

doi:10.1177/1847980418820161

Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance

Larry K. Warne, Roy E. Jorgenson, Salvatore Campione

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

3 Scopus citations

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.

Original language	English
Journal	Nanomaterials and Nanotechnology
Volume	8
DOIs	https://doi.org/10.1177/1847980418820161
State	Published - Dec 21 2018
Externally published	Yes

Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Laboratory Directed Research and Development program at Sandia National Laboratories. 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. This article describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the article do not necessarily represent the views of the U.S. Department of Energy or the United States Government.

Keywords

High quality factor
Mie resonances
dipole approximation
finite-size metasurfaces
magnetic dipole resonance

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title = "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{\textquoteright} 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.",

keywords = "High quality factor, Mie resonances, dipole approximation, finite-size metasurfaces, magnetic dipole resonance",

author = "Warne, \{Larry K.\} and Jorgenson, \{Roy E.\} and Salvatore Campione",

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T1 - Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance

AU - Warne, Larry K.

AU - Jorgenson, Roy E.

AU - Campione, Salvatore

N1 - Publisher Copyright: © The Author(s) 2018.

PY - 2018/12/21

Y1 - 2018/12/21

N2 - 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.

AB - 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.

KW - High quality factor

KW - Mie resonances

KW - dipole approximation

KW - finite-size metasurfaces

KW - magnetic dipole resonance

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DO - 10.1177/1847980418820161

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AN - SCOPUS:85059050356

SN - 1847-9804

VL - 8

JO - Nanomaterials and Nanotechnology

JF - Nanomaterials and Nanotechnology

ER -

Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance

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