Slowing down and reflection of waves in truncated periodic media
Classical Analysis and ODEs
2016-04-04 v1
Abstract
We consider wave propagation and scattering governed by one dimensional Schrodinger operators with truncated periodic potentials. The propagation of wave packets with narrow frequency supports is studied. The goal is to describe potentials for which the group velocity (for periodic problem) is small and the transmission coefficient for the truncated potential is not too small, i.e. to find media where a slowing down of the wave packets coexists with a transparency.
Keywords
Cite
@article{arxiv.math/0503075,
title = {Slowing down and reflection of waves in truncated periodic media},
author = {S. Molchanov and B. Vainberg},
journal= {arXiv preprint arXiv:math/0503075},
year = {2016}
}