Gyroid Optical Metamaterials: Calculating the Effective Permittivity of Multidomain Samples
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Author(s)
Type
Journal Article
Abstract
Gold gyroid optical metamaterials are known to possess a reduced plasma frequency and linear dichroism imparted by their intricate subwavelength single gyroid morphology. The anisotropic optical properties are, however, only evident when a large individual gyroid domain is investigated. Multidomain gyroid metamaterials, fabricated using a polyisoprene-b-polystyrene-b-poly(ethylene oxide) triblock terpolymer and consisting of multiple small gyroid domains with random orientation and handedness, instead exhibit isotropic optical properties. Comparing three effective medium models, we here show that the specular reflectance spectra of such multidomain gyroid optical metamaterials can be accurately modeled over a broad range of incident angles by a Bruggeman effective medium consisting of a random wire array. This model accurately reproduces previously published results tracking the variation in normal incidence reflectance spectra of gold gyroid optical metamaterials as a function of host refractive index and volume fill fraction of gold. The effective permittivity derived from this theory confirms the change in sign of the real part of the permittivity in the visible spectral region (so, that gold gyroid metamaterials exhibit both dielectric and metallic behavior at optical wavelengths). That a Bruggeman effective medium can accurately model the experimental reflectance spectra implies that small multidomain gold gyroid optical metamaterials behave both qualitatively and quantitatively as an amorphous composite of gold and air (i.e., nanoporous gold) and that coherent electromagnetic contributions arising from the subwavelength gyroid symmetry are not dominant.
Date Issued
2016-09-06
Date Acceptance
2016-09-01
Citation
ACS Photonics, 2016, 3 (10), pp.1888-1896
ISSN
2330-4022
Publisher
American Chemical Society
Start Page
1888
End Page
1896
Journal / Book Title
ACS Photonics
Volume
3
Issue
10
Copyright Statement
This is an open access article published under a Creative Commons Attribution (CC-BY) License, which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
License URL
Sponsor
Engineering & Physical Science Research Council (E
Grant Number
RG72590
Subjects
block copolymer
effective medium model
gyroid
optical metamaterial
polymer self-assembly
Publication Status
Published