Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking

Li, Xiaofei1; Li, Jingzhi1; Liu, Hongyu2; Wang, Yuliang2

2017-10

10.1093/imamat/hxx022

IMA JOURNAL OF APPLIED MATHEMATICS   影响因子和分区

0272-4960

1464-3634

This article is concerned with the invisibility cloaking in electromagnetic wave scattering from a new perspective. We are especially interested in achieving the invisibility cloaking by completely regular and isotropic mediums. Our study is based on an interior transmission eigenvalue problem. We propose a cloaking scheme that takes a three-layer structure including a cloaked region, a lossy layer and a cloaking shell. The target medium in the cloaked region can be arbitrary but regular, whereas the mediums in the lossy layer and the cloaking shell are both regular and isotropic. We establish that there exists an infinite set of incident waves such that the cloaking device is nearly invisible under the corresponding wave interrogation. The set of waves is generated from the Maxwell-Herglotz approximation of the associated interior transmission eigenfunctions. We provide the mathematical design of the cloaking device and sharply quantify the cloaking performance.

electromagnetic scattering invisibility cloaking interior transmission eigenvalues

SCI ; EI

英语

第一 ; 通讯

Hong Kong RGC[12328516]

Mathematics

Mathematics, Applied

WOS:000412767300004

OXFORD UNIV PRESS

20174904501737

Eigenvalues and eigenfunctions ; Electromagnetic wave scattering ; Electromagnetic waves

Electromagnetic Waves:711 ; Materials Science:951

MATHEMATICS

Web of Science

1.South Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China
2.Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

Li, Xiaofei,Li, Jingzhi,Liu, Hongyu,et al. Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2017,82(5):1013-1042.

Li, Xiaofei,Li, Jingzhi,Liu, Hongyu,&Wang, Yuliang.(2017).Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking.IMA JOURNAL OF APPLIED MATHEMATICS,82(5),1013-1042.

Li, Xiaofei,et al."Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking".IMA JOURNAL OF APPLIED MATHEMATICS 82.5(2017):1013-1042.