Phonon Scattering by Breathers in the Discrete Nonlinear Schroedinger Equation

S. Lee; Julian J. -L. Ting; S. Kim

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Phonon Scattering by Breathers in the Discrete Nonlinear Schroedinger Equation

S. Lee·Julian J. -L. Ting·S. Kim

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Abstract

Linear theory for phonon scattering by discrete breathers in the discrete nonlinear Schroedinger equation using the transfer matrix approach is presented. Transmission and reflection coefficients are obtained as a function of the wave vector of the input phonon. The occurrence of a nonzero transmission, which in fact becomes perfect for a symmetric breather, is shown to be connected with localized eigenmodes thresholds. In the weak-coupling limit, perfect reflection are shown to exist, which requires two scattering channels. A necessary condition for a system to have a perfect reflection is also considered in a general context.

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solv-int cond-mat.dis-nn nlin.SI quant-ph

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BibTeX RIS

S. Lee, Julian J. -L. Ting, S. Kim. 1998-06-25. Phonon Scattering by Breathers in the Discrete Nonlinear Schroedinger Equation. https://arxiv.org/abs/solv-int/9806007

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