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.
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页数：15
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