Year: 2012
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Shestopalov, Yury, Smirnov, Yury
Institutions: Karlstad University, Penza State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2953220919