Level Set-Based Topology Optimization for the Design of an Electromagnetic Cloak With Ferrite Material

Masaki Otomori; Takayuki Yamada; Jacob Anders Andkjær; Kazuhiro Izui; Shinji Nishiwaki; Nozomu Kogiso

doi:10.1109/TMAG.2013.2239965

Level Set-Based Topology Optimization for the Design of an Electromagnetic Cloak With Ferrite Material

Masaki Otomori, Takayuki Yamada, Jacob Anders Andkjær, Kazuhiro Izui, Shinji Nishiwaki, Nozomu Kogiso

Kyoto University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

This paper presents a structural optimization method for the design of an electromagnetic cloak made of ferrite material. Ferrite materials exhibit a frequency-dependent degree of permeability, due to a magnetic resonance phenomenon that can be altered by changing the magnitude of an externally applied dc magnetic field. Thus, such ferrite cloaks have the potential to provide novel functions, such as on-off operation in response to on-off application of an external magnetic field. The optimization problems are formulated to minimize the norm of the scattering field from a cylindrical obstacle. A level set-based topology optimization method incorporating a fictitious interface energy is used to find optimized configurations of the ferrite material. The numerical results demonstrate that the optimization successfully found an appropriate ferrite configuration that functions as an electromagnetic cloak.

Original language	English
Journal	I E E E Transactions on Magnetics
Volume	49
Issue number	5
Pages (from-to)	2081-2084
ISSN	0018-9464
DOIs	https://doi.org/10.1109/TMAG.2013.2239965
Publication status	Published - 2013

Keywords

Electromagnetic cloak
Ferrite
Level-set method
Topology optimization

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title = "Level Set-Based Topology Optimization for the Design of an Electromagnetic Cloak With Ferrite Material",

abstract = "This paper presents a structural optimization method for the design of an electromagnetic cloak made of ferrite material. Ferrite materials exhibit a frequency-dependent degree of permeability, due to a magnetic resonance phenomenon that can be altered by changing the magnitude of an externally applied dc magnetic field. Thus, such ferrite cloaks have the potential to provide novel functions, such as on-off operation in response to on-off application of an external magnetic field. The optimization problems are formulated to minimize the norm of the scattering field from a cylindrical obstacle. A level set-based topology optimization method incorporating a fictitious interface energy is used to find optimized configurations of the ferrite material. The numerical results demonstrate that the optimization successfully found an appropriate ferrite configuration that functions as an electromagnetic cloak.",

keywords = "Electromagnetic cloak, Ferrite, Level-set method, Topology optimization",

author = "Masaki Otomori and Takayuki Yamada and Andkj{\ae}r, {Jacob Anders} and Kazuhiro Izui and Shinji Nishiwaki and Nozomu Kogiso",

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T1 - Level Set-Based Topology Optimization for the Design of an Electromagnetic Cloak With Ferrite Material

AU - Otomori, Masaki

AU - Yamada, Takayuki

AU - Andkjær, Jacob Anders

AU - Izui, Kazuhiro

AU - Nishiwaki, Shinji

AU - Kogiso, Nozomu

PY - 2013

Y1 - 2013

N2 - This paper presents a structural optimization method for the design of an electromagnetic cloak made of ferrite material. Ferrite materials exhibit a frequency-dependent degree of permeability, due to a magnetic resonance phenomenon that can be altered by changing the magnitude of an externally applied dc magnetic field. Thus, such ferrite cloaks have the potential to provide novel functions, such as on-off operation in response to on-off application of an external magnetic field. The optimization problems are formulated to minimize the norm of the scattering field from a cylindrical obstacle. A level set-based topology optimization method incorporating a fictitious interface energy is used to find optimized configurations of the ferrite material. The numerical results demonstrate that the optimization successfully found an appropriate ferrite configuration that functions as an electromagnetic cloak.

AB - This paper presents a structural optimization method for the design of an electromagnetic cloak made of ferrite material. Ferrite materials exhibit a frequency-dependent degree of permeability, due to a magnetic resonance phenomenon that can be altered by changing the magnitude of an externally applied dc magnetic field. Thus, such ferrite cloaks have the potential to provide novel functions, such as on-off operation in response to on-off application of an external magnetic field. The optimization problems are formulated to minimize the norm of the scattering field from a cylindrical obstacle. A level set-based topology optimization method incorporating a fictitious interface energy is used to find optimized configurations of the ferrite material. The numerical results demonstrate that the optimization successfully found an appropriate ferrite configuration that functions as an electromagnetic cloak.

KW - Electromagnetic cloak

KW - Ferrite

KW - Level-set method

KW - Topology optimization

U2 - 10.1109/TMAG.2013.2239965

DO - 10.1109/TMAG.2013.2239965

M3 - Journal article

SN - 0018-9464

VL - 49

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EP - 2084

JO - I E E E Transactions on Magnetics

JF - I E E E Transactions on Magnetics

IS - 5

ER -

Level Set-Based Topology Optimization for the Design of an Electromagnetic Cloak With Ferrite Material

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