Distribution of complex transmission eigenvalues for spherically stratified media

被引：41

作者：

Colton, David ^{[1
]}

Leung, Yuk-J ^{[1
]}

Meng, Shixu ^{[1
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

INVERSE PROBLEMS | 2015年 / 31卷 / 03期

关键词：

inverse scattering; complex transmission eigenvalues; spectral theory;

D O I：

10.1088/0266-5611/31/3/035006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we employ transformation operators and Levinson's density formula to study the distribution of interior transmission eigenvalues for a spherically stratified media. In particular, we show that under smoothness condition on the index of refraction that there exist an infinite number of complex eigenvalues and there exist situations when there are no real eigenvalues. We also consider the case when absorption is present and show that under appropriate conditions there exist an infinite number of eigenvalues near the real axis.

引用

页数：19

共 23 条

[1] Reconstruction of the wave speed from transmission eigenvalues for the spherically symmetric variable-speed wave equation [J].