Reflection and transmission of waves in surface-disordered waveguides

Details Reflection and transmission of waves in surface-disordered waveguides Reflection and transmission of waves in surface-disordered waveguides

1998-07-07

arxiv.org/abs/cond-mat/9807108v2

Phys. Rev. B, 59 (1999) 5915

Physics

Condensed Matter

Disordered Systems and Neural Networks

LaTeX (REVTeX), 12 pages with 14 EPS figures (epsf macro), minor changes

Scientific paper

10.1103/PhysRevB.59.5915

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type disorder on the behavior of the ensemble average and fluctuations of the reflection and transmission coefficients, reflectance, transmittance, and conductance. Our results show anomalous effects stemming from the combination of mode dispersion and rough surface scattering: For a given waveguide length, the larger the mode transverse momentum is, the more strongly is the mode scattered. These effects manifest themselves in the mode selectivity of the transmission coefficients, anomalous backscattering enhancement, and speckle pattern both in reflection and transmission, reflectance and transmittance, and also in the conductance and its universal fluctuations. It is shown that, in contrast to volume impurities, surface scattering in quasi-one-dimensional structures (waveguides) gives rise to the coexistence of the ballistic, diffusive, and localized regimes within the same sample.

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