Manifestation of the Roughness-Square-Gradient Scattering in Surface-Corrugated Waveguides

Details Manifestation of the Roughness-Square-Gradient Scattering in Surface-Corrugated Waveguides Manifestation of the Roughness-Square-Gradient Scattering in Surface-Corrugated Waveguides

2005-10-20

arxiv.org/abs/cond-mat/0510530v1

Phys. Rev. B 73 (2006) 155421

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 3 figures

Scientific paper

10.1103/PhysRevB.73.155421

We study a new mechanism of wave/electron scattering in multi-mode surface-corrugated waveguides/wires. This mechanism is due to specific square-gradient terms in an effective Hamiltonian describing the surface scattering, that were neglected in all previous studies. With a careful analysis of the role of roughness slopes in a surface profile, we show that these terms strongly contribute to the expression for the inverse attenuation length (mean free path), provided the correlation length of corrugations is relatively small. The analytical results are illustrated by numerical data.

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