Interior transmission eigenvalues of a rectangle. (28th January 2016)

• Record Type: Journal Article
• Authors: Sleeman, B D; Stocks, D C
• Is Part Of: Inverse problems. Volume 32:Number 2(2016:Feb.)
• Publication Date: 2016-01-28
• Subjects: interior transmission eigenvalues -- inhomogeneous media -- separation of variables; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/32/2/025010
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: 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.