English

The Maxwell operator with periodic coefficients in a cylinder

Mathematical Physics 2019-04-02 v1 math.MP Spectral Theory

Abstract

In the paper we consider the Maxwell operator in a three-dimensional cylinder with coefficients periodic along the axis of a cylinder. It is proved that for cylinders with circular and rectangular cross-section the spectrum of the Maxwell operator is absolutely continuous.

Cite

@article{arxiv.1801.10440,
  title  = {The Maxwell operator with periodic coefficients in a cylinder},
  author = {N. Filonov and A. Prokhorov},
  journal= {arXiv preprint arXiv:1801.10440},
  year   = {2019}
}
R2 v1 2026-06-23T00:05:53.158Z