A level-set-based topology optimisation of carpet cloaking devices with the boundary element method

We investigate a topology optimisation based on the level set method for a design problem of carpet cloaking devices. In topology optimisation of carpet cloaking devices, we need to calculate the electromagnetic response in a semi-infinite domain. We use the boundary element method (BEM) for the ele...

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Autores principales:	Kenta NAKAMOTO, Hiroshi ISAKARI, Toru TAKAHASHI, Toshiro MATSUMOTO
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2016
Materias:	topology optimisation carpet cloak boundary element method level set method Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/24d2a78179bb4821b0556fc966401f59
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spelling	oai:doaj.org-article:24d2a78179bb4821b0556fc966401f592021-11-26T07:00:24ZA level-set-based topology optimisation of carpet cloaking devices with the boundary element method2187-974510.1299/mej.16-00268https://doaj.org/article/24d2a78179bb4821b0556fc966401f592016-12-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/1/4_16-00268/_pdf/-char/enhttps://doaj.org/toc/2187-9745We investigate a topology optimisation based on the level set method for a design problem of carpet cloaking devices. In topology optimisation of carpet cloaking devices, we need to calculate the electromagnetic response in a semi-infinite domain. We use the boundary element method (BEM) for the electromagnetic analysis since the BEM is more suitable to topology optimisation in wave field than the finite element method; the infinite domain can be evaluated exactly and mesh generation is required only on a boundary with the BEM. Along with the detailed formulation of the BEM-based topology optimisation, we present some numerical examples of design for carpet cloaks. We have confirmed that the designed carpet cloaking devices effectively work for the cases where permittivity, wavelength and angle of incidence are fixed. In addition, we have confirmed that cloaking devices for perturbed permittivity and wavelength can be obtained by redefining the objective function with the KS function.Kenta NAKAMOTOHiroshi ISAKARIToru TAKAHASHIToshiro MATSUMOTOThe Japan Society of Mechanical Engineersarticletopology optimisationcarpet cloakboundary element methodlevel set methodMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 1, Pp 16-00268-16-00268 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	topology optimisation carpet cloak boundary element method level set method Mechanical engineering and machinery TJ1-1570
spellingShingle	topology optimisation carpet cloak boundary element method level set method Mechanical engineering and machinery TJ1-1570 Kenta NAKAMOTO Hiroshi ISAKARI Toru TAKAHASHI Toshiro MATSUMOTO A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
description	We investigate a topology optimisation based on the level set method for a design problem of carpet cloaking devices. In topology optimisation of carpet cloaking devices, we need to calculate the electromagnetic response in a semi-infinite domain. We use the boundary element method (BEM) for the electromagnetic analysis since the BEM is more suitable to topology optimisation in wave field than the finite element method; the infinite domain can be evaluated exactly and mesh generation is required only on a boundary with the BEM. Along with the detailed formulation of the BEM-based topology optimisation, we present some numerical examples of design for carpet cloaks. We have confirmed that the designed carpet cloaking devices effectively work for the cases where permittivity, wavelength and angle of incidence are fixed. In addition, we have confirmed that cloaking devices for perturbed permittivity and wavelength can be obtained by redefining the objective function with the KS function.
format	article
author	Kenta NAKAMOTO Hiroshi ISAKARI Toru TAKAHASHI Toshiro MATSUMOTO
author_facet	Kenta NAKAMOTO Hiroshi ISAKARI Toru TAKAHASHI Toshiro MATSUMOTO
author_sort	Kenta NAKAMOTO
title	A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
title_short	A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
title_full	A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
title_fullStr	A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
title_full_unstemmed	A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
title_sort	level-set-based topology optimisation of carpet cloaking devices with the boundary element method
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/24d2a78179bb4821b0556fc966401f59
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A level-set-based topology optimisation of carpet cloaking devices with the boundary element method

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