Resonance Scattering by Infinite Sheets

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: We study the scattering of Bloch waves in a crystal with impurities located on two parallel planes perpendicular to the wave propagation direction. We prove that the reduced scattering matrix has a pole with a small imaginary part and that the transmission coefficient suffers a sharp jump near the real part of the pole.

Received: 29.11.2000
Revised: 22.12.2000

DOI: 10.4213/tmf446

 English version: Theoretical and Mathematical Physics, 2001, 127:1, 424–434

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