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Making waves round a structured cloak: lattices, negative refraction and fringes

Using the framework of transformation optics, this paper presents a detailed analysis of a non-singular square cloak for acoustic, out-of-plane shear elastic and electromagnetic waves. Analysis of wave propagation through the cloak is presented and accompanied by numerical illustrations. The efficac...

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Detalles Bibliográficos
Autores principales: Colquitt, D. J., Jones, I. S., Movchan, N. V., Movchan, A. B., Brun, M., McPhedran, R. C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3780812/
https://www.ncbi.nlm.nih.gov/pubmed/24062625
http://dx.doi.org/10.1098/rspa.2013.0218
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author Colquitt, D. J.
Jones, I. S.
Movchan, N. V.
Movchan, A. B.
Brun, M.
McPhedran, R. C.
author_facet Colquitt, D. J.
Jones, I. S.
Movchan, N. V.
Movchan, A. B.
Brun, M.
McPhedran, R. C.
author_sort Colquitt, D. J.
collection PubMed
description Using the framework of transformation optics, this paper presents a detailed analysis of a non-singular square cloak for acoustic, out-of-plane shear elastic and electromagnetic waves. Analysis of wave propagation through the cloak is presented and accompanied by numerical illustrations. The efficacy of the regularized cloak is demonstrated and an objective numerical measure of the quality of the cloaking effect is provided. It is demonstrated that the cloaking effect persists over a wide range of frequencies. As a demonstration of the effectiveness of the regularized cloak, a Young's double slit experiment is presented. The stability of the interference pattern is examined when a cloaked and uncloaked obstacle are successively placed in front of one of the apertures. This novel link with a well-known quantum mechanical experiment provides an additional method through which the quality of cloaks may be examined. In the second half of the paper, it is shown that an approximate cloak may be constructed using a discrete lattice structure. The efficiency of the approximate lattice cloak is analysed and a series of illustrative simulations presented. It is demonstrated that effective cloaking may be obtained by using a relatively simple lattice structure, particularly, in the low-frequency regime.
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spelling pubmed-37808122013-09-23 Making waves round a structured cloak: lattices, negative refraction and fringes Colquitt, D. J. Jones, I. S. Movchan, N. V. Movchan, A. B. Brun, M. McPhedran, R. C. Proc Math Phys Eng Sci Research Articles Using the framework of transformation optics, this paper presents a detailed analysis of a non-singular square cloak for acoustic, out-of-plane shear elastic and electromagnetic waves. Analysis of wave propagation through the cloak is presented and accompanied by numerical illustrations. The efficacy of the regularized cloak is demonstrated and an objective numerical measure of the quality of the cloaking effect is provided. It is demonstrated that the cloaking effect persists over a wide range of frequencies. As a demonstration of the effectiveness of the regularized cloak, a Young's double slit experiment is presented. The stability of the interference pattern is examined when a cloaked and uncloaked obstacle are successively placed in front of one of the apertures. This novel link with a well-known quantum mechanical experiment provides an additional method through which the quality of cloaks may be examined. In the second half of the paper, it is shown that an approximate cloak may be constructed using a discrete lattice structure. The efficiency of the approximate lattice cloak is analysed and a series of illustrative simulations presented. It is demonstrated that effective cloaking may be obtained by using a relatively simple lattice structure, particularly, in the low-frequency regime. The Royal Society Publishing 2013-09-08 /pmc/articles/PMC3780812/ /pubmed/24062625 http://dx.doi.org/10.1098/rspa.2013.0218 Text en http://creativecommons.org/licenses/by/3.0/ © 2013 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Research Articles
Colquitt, D. J.
Jones, I. S.
Movchan, N. V.
Movchan, A. B.
Brun, M.
McPhedran, R. C.
Making waves round a structured cloak: lattices, negative refraction and fringes
title Making waves round a structured cloak: lattices, negative refraction and fringes
title_full Making waves round a structured cloak: lattices, negative refraction and fringes
title_fullStr Making waves round a structured cloak: lattices, negative refraction and fringes
title_full_unstemmed Making waves round a structured cloak: lattices, negative refraction and fringes
title_short Making waves round a structured cloak: lattices, negative refraction and fringes
title_sort making waves round a structured cloak: lattices, negative refraction and fringes
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3780812/
https://www.ncbi.nlm.nih.gov/pubmed/24062625
http://dx.doi.org/10.1098/rspa.2013.0218
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