Yajun Zhou
Published 2010-07-26, updated 2012-02-10Version 2
We study the distribution of eigenvalues for the Green operator occurring in the scattering of electromagnetic waves by an arbitrarily shaped dielectric medium. It is revealed that the totality of eigenvalues (counting multiplicities) can be enumerated as a sequence $ \{\lambda_s\}_{s=1}^N,N\leq\aleph_0$, with only two possible accumulation points $ \{0,-1/2\}$, and the following spectral series converges: $ \sum_{s=1}^N|\lambda_s|^2|1+2\lambda_s|^4<+\infty$.
Comments: Expanded version with more examples. Some notational changes. Conclusion intact. 2 tables, 15 pages
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