1007.4375 (Yajun Zhou)

Distribution of Eigenvalues in Electromagnetic Scattering on an
Arbitrarily Shaped Dielectric    [PDF]

Yajun Zhou

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$.

View original: http://arxiv.org/abs/1007.4375