Distribution of complex transmission eigenvalues for spherically stratified media
Distribution of complex transmission eigenvalues for spherically stratified media
复制标题
DOI：
10.1088/0266-5611/31/3/035006
复制
发表时间：
2015-02
期刊：
影响因子：
2.1
通讯作者：
D. Colton;Yuk-J Leung;S. Meng
中科院分区：
文献类型：
--
作者：
D. Colton;Yuk-J Leung;S. Meng
本文利用变换算子和Levinson密度公式研究了球形分层媒质的内部透射本征值分布。特别地，我们证明了在折射率光滑的条件下，存在无穷多个复特征值，也存在没有真实的特征值的情况。我们还考虑了吸收的情况下，目前和表明，在适当的条件下，存在着无限多的本征值附近的真实的轴。
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.