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Spectral super-resolution in metamaterial composites

Helsing, Johan LU ; McPhedran, Ross and Milton, Graeme (2011) In New Journal of Physics 13(11).
Abstract
We investigate the optical properties of periodic composites containing metamaterial inclusions in a normal material matrix. We consider the case when these inclusions have sharp corners and, following Hetherington and Thorpe, use analytic results to argue that it is then possible to deduce the shape of the corner (its included angle) by measurements of the absorptance of such composites when the scale size of the inclusions and period cell is much finer than the wavelength. These analytic arguments are supported by highly accurate numerical results for the effective permittivity function of such composites as a function of the permittivity ratio of inclusions to the matrix. The results show that this function has a continuous spectral... (More)
We investigate the optical properties of periodic composites containing metamaterial inclusions in a normal material matrix. We consider the case when these inclusions have sharp corners and, following Hetherington and Thorpe, use analytic results to argue that it is then possible to deduce the shape of the corner (its included angle) by measurements of the absorptance of such composites when the scale size of the inclusions and period cell is much finer than the wavelength. These analytic arguments are supported by highly accurate numerical results for the effective permittivity function of such composites as a function of the permittivity ratio of inclusions to the matrix. The results show that this function has a continuous spectral component with limits independent of the area fraction of inclusions, and with the same limits for both square and staggered square arrays. For staggered arrays where the squares are almost touching, the absorption spectrum is an extremely sensitive probe of the inclusion separation distance and acts like a Vernier scale. (Less)
Please use this url to cite or link to this publication:
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Optical properties, Microscopic defects, Permittivity
in
New Journal of Physics
volume
13
issue
11
publisher
IOP Publishing
external identifiers
  • wos:000297574500003
  • scopus:81255196990
ISSN
1367-2630
DOI
10.1088/1367-2630/13/11/115005
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
id
56c1e375-c3b0-4a83-a3ff-5ac126fd710c (old id 2204076)
alternative location
http://www.maths.lth.se/na/staff/helsing/NJP11.pdf
date added to LUP
2016-04-01 14:56:30
date last changed
2021-05-25 02:02:49
@article{56c1e375-c3b0-4a83-a3ff-5ac126fd710c,
  abstract     = {We investigate the optical properties of periodic composites containing metamaterial inclusions in a normal material matrix. We consider the case when these inclusions have sharp corners and, following Hetherington and Thorpe, use analytic results to argue that it is then possible to deduce the shape of the corner (its included angle) by measurements of the absorptance of such composites when the scale size of the inclusions and period cell is much finer than the wavelength. These analytic arguments are supported by highly accurate numerical results for the effective permittivity function of such composites as a function of the permittivity ratio of inclusions to the matrix. The results show that this function has a continuous spectral component with limits independent of the area fraction of inclusions, and with the same limits for both square and staggered square arrays. For staggered arrays where the squares are almost touching, the absorption spectrum is an extremely sensitive probe of the inclusion separation distance and acts like a Vernier scale.},
  author       = {Helsing, Johan and McPhedran, Ross and Milton, Graeme},
  issn         = {1367-2630},
  language     = {eng},
  number       = {11},
  publisher    = {IOP Publishing},
  series       = {New Journal of Physics},
  title        = {Spectral super-resolution in metamaterial composites},
  url          = {https://lup.lub.lu.se/search/ws/files/4258818/3878565.pdf},
  doi          = {10.1088/1367-2630/13/11/115005},
  volume       = {13},
  year         = {2011},
}