Electron Wave Filters from Inverse Scattering Theory
Condensed Matter
2009-10-28 v1 mtrl-th
Abstract
Semiconductor heterostructures with prescribed energy dependence of the transmittance can be designed by combining: {\em a)} Pad\'e approximant reconstruction of the S-matrix; {\em b)} inverse scattering theory for Schro\"dinger's equation; {\em c)} a unitary transformation which takes into account the variable mass effects. The resultant continuous concentration profile can be digitized into an easily realizable rectangular-wells structure. For illustration, we give the specifications of a 2 narrow band-pass 12 layer filter with the high energy peak more than {\em twice narrower} than the other.
Cite
@article{arxiv.cond-mat/9606209,
title = {Electron Wave Filters from Inverse Scattering Theory},
author = {Daniel Bessis and Giorgio Mantica and G. Andrei Mezincescu and Daniel Vrinceanu},
journal= {arXiv preprint arXiv:cond-mat/9606209},
year = {2009}
}
Comments
4 pages, Revtex with one eps figure