Maxwell operator in a cylinder. Separation of variables
Spectral Theory
2020-12-03 v1 Mathematical Physics
math.MP
Abstract
The Maxwell operator in a 3D cylinder is considered. The coefficients are assumed to be scalar functions depending on the longitudinal variable only. Such operator is represented as a sum of countable set of matrix differential operators of first order acting in . Based on this representation we give a detailed description of the structure of the spectrum of the Maxwell operator in two particular cases: 1) in the case of coefficients stabilizing at infinity; and 2) in the case of periodic coefficients.
Cite
@article{arxiv.2012.01034,
title = {Maxwell operator in a cylinder. Separation of variables},
author = {N. Filonov},
journal= {arXiv preprint arXiv:2012.01034},
year = {2020}
}