Slowing down and reflection of waves in truncated periodic media

Details Slowing down and reflection of waves in truncated periodic media Slowing down and reflection of waves in truncated periodic media

2005-03-04

arxiv.org/abs/math/0503075v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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