Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric

Details Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric

2010-07-26

arxiv.org/abs/1007.4375v2

Physics

Mathematical Physics

Expanded version with more examples. Some notational changes. Conclusion intact. 2 tables, 15 pages

Scientific paper

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$.

Affiliated with

Also associated with

No associations

Rating

Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distribution of Eigenvalues in Electromagnetic Scattering on an Arbitrarily Shaped Dielectric will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558088