Eigenwaves in Waveguides with Dielectric Inclusions: Completeness
Mathematical Physics
2012-09-26 v1 math.MP
Spectral Theory
Abstract
We formulate the definition of eigenwaves and associated waves in a nonhomogeneously filled waveguide using the system of eigenvectors and associated vectors of a pencil and prove its double completeness with a finite defect or without a defect. Then we prove the completeness of the system of transversal components of eigenwaves and associated waves as well as the `minimality' of this system and show that this system is generally not a Schauder basis.
Keywords
Cite
@article{arxiv.1209.5525,
title = {Eigenwaves in Waveguides with Dielectric Inclusions: Completeness},
author = {Yury Shestopalov and Yury Smirnov},
journal= {arXiv preprint arXiv:1209.5525},
year = {2012}
}
Comments
26 pages