Efficient Spectral Methods for Transmission Eigenvalues and Estimation of the Index of Refraction  

作　　者：Jing An Jie Shen 

机构地区：[1]School of Mathematical Science,Xiamen University,Xiamen 361005,P.R.China [2]School of Mathematics and Computer Science,GuizhouNormalUniversity,Guiyang 550001,P.R.China [3]Department of Mathematics Purdue University,West Lafayette,IN 47907,USA

出　　处：《Journal of Mathematical Study》2014年第1期1-20,共20页数学研究（英文）

基　　金：This work is Supported in part by NSF of China grants 91130002 and 11371298。

摘　　要：An important step in estimating the index of refraction of electromagnetic scattering problems is to compute the associated transmission eigenvalue problem.We develop in this paper efficient and accurate spectral methods for computing the transmission eigenvalues associated to the electromagnetic scattering problems.We present ample numerical results to show that our methods are very effective for computing transmission eigenvalues(particularly for computing the smallest eigenvalue),and together with the linear samplingmethod,provide an efficient way to estimate the index of refraction of a non-absorbing inhomogeneous medium.

关 键 词：spectral method index of refraction transmission eigenvalue electromagnetic scattering inverse problem 

分 类 号：O17[理学—数学]