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Tailoring dielectric resonator geometries for directional scattering and Huygens’ metasurfaces

Journal Article · · Optics Express
DOI:https://doi.org/10.1364/OE.23.002293· OSTI ID:1213413

In this paper we describe a methodology for tailoring the design of metamaterial dielectric resonators, which represent a promising path toward low-loss metamaterials at optical frequencies. We first describe a procedure to decompose the far field scattered by subwavelength resonators in terms of multipolar field components, providing explicit expressions for the multipolar far fields. We apply this formulation to confirm that an isolated high-permittivity dielectric cube resonator possesses frequency separated electric and magnetic dipole resonances, as well as a magnetic quadrupole resonance in close proximity to the electric dipole resonance. We then introduce multiple dielectric gaps to the resonator geometry in a manner suggested by perturbation theory, and demonstrate the ability to overlap the electric and magnetic dipole resonances, thereby enabling directional scattering by satisfying the first Kerker condition. We further demonstrate the ability to push the quadrupole resonance away from the degenerate dipole resonances to achieve local behavior. These properties are confirmed through the multipolar expansion and show that the use of geometries suggested by perturbation theory is a viable route to achieve purely dipole resonances for metamaterial applications such as wave-front manipulation with Huygens’ metasurfaces. Our results are fully scalable across any frequency bands where high-permittivity dielectric materials are available, including microwave, THz, and infrared frequencies.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1213413
Journal Information:
Optics Express, Journal Name: Optics Express Journal Issue: 3 Vol. 23; ISSN 1094-4087; ISSN OPEXFF
Publisher:
Optical Society of America (OSA)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (30)

Titania-Based Spherical Mie Resonators Elaborated by High-Throughput Aerosol Spray: Single Object Investigation journal May 2018
Phase Manipulation of Electromagnetic Waves with Metasurfaces and Its Applications in Nanophotonics journal May 2018
A Zero‐Rank, Maximum Nullity Perfect Electromagnetic Wave Absorber journal January 2019
Resonant Lattice Kerker Effect in Metasurfaces With Electric and Magnetic Optical Responses journal October 2017
Phased-array sources based on nonlinear metamaterial nanocavities journal July 2015
Metamaterial-inspired silicon nanophotonics journal April 2017
Ultra-thin high-efficiency mid-infrared transmissive Huygens meta-optics journal April 2018
Silicon Mie resonators for highly directional light emission from monolayer MoS2 journal April 2018
Comparison of directionally outcoupled photoluminescences from luminous layers on Si and Al nanocylinder arrays journal April 2019
Recent advances in high refractive index dielectric nanoantennas: Basics and applications journal April 2019
Polarization states synthesizer based on a thermo-optic dielectric metasurface journal August 2019
Resonant dielectric nanostructures: a low-loss platform for functional nanophotonics journal September 2016
Momentum Analysis for Metasurfaces journal July 2017
General framework for the frequency shifting of electromagnetic pulses using time-dependent surfaces journal May 2019
Functional Metamirrors Using Bianisotropic Elements journal March 2015
Broadband Reflectionless Metasheets: Frequency-Selective Transmission and Perfect Absorption journal July 2015
Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance journal January 2018
All-dielectric colored truncated cone metasurfaces with silicon Mie magnetic resonators journal January 2019
Ultra-thin, High-efficiency Mid-Infrared Transmissive Huygens Meta-Optics conference January 2017
Huygens’ metasurfaces via the equivalence principle: design and applications journal January 2016
Reflective metasurface lens with an elongated needle-shaped focus journal January 2017
Metallic metasurface for high efficiency optical phase control in transmission mode journal January 2017
Coupling-based Huygens’ meta-atom utilizing bilayer complementary plasmonic structure for light manipulation journal January 2017
Generalized Kerker effects in nanophotonics and meta-optics [Invited] journal January 2018
Invisible nanowires with interfering electric and toroidal dipoles journal January 2015
Resonant forward scattering of light by high-refractive-index dielectric nanoparticles with toroidal dipole contribution journal January 2017
Multiwavelength polarization-insensitive lenses based on dielectric metasurfaces with meta-molecules journal January 2016
A review of dielectric optical metasurfaces for wavefront control journal June 2018
Invisible nanowires with interfering electric and toroidal dipoles text January 2015
Multiwavelength polarization insensitive lenses based on dielectric metasurfaces with meta-molecules text January 2016

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