Interior transmission eigenvalues of a rectangle

被引：1

作者：

Sleeman, B. D. ^{[1
,2
]}

Stocks, D. C. ^{[3
]}

机构：

[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland

[3] Cranfield Univ, Royal Mil Coll Sci, Swindon SN6 8LA, Wilts, England

来源：

INVERSE PROBLEMS | 2016年 / 32卷 / 02期

关键词：

interior transmission eigenvalues; inhomogeneous media; separation of variables; SCATTERING;

D O I：

10.1088/0266-5611/32/2/025010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of scattering of acoustic waves by an inhomogeneous medium is intimately connected with so called inside-outside duality, in which the interior transmission eigenvalue problem plays a fundamental role. Here a study of the interior transmission eigenvalues for rectangular domains of constant refractive index is made. By making a nonstandard use of the classical separation of variables technique both real and complex eigenvalues are determined.

引用

页数：15

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