On the spectrum of a waveguide with periodic cracks
Mathematical Physics
2015-05-19 v1 math.MP
Spectral Theory
Abstract
The spectral problem on a periodic domain with cracks is studied. An asymptotic form of dispersion relations is calculated under assumption that the opening of the cracks is small.
Cite
@article{arxiv.1007.3656,
title = {On the spectrum of a waveguide with periodic cracks},
author = {Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:1007.3656},
year = {2015}
}