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9 - Anomalous transmission in waveguides with correlated disorder in surface profiles

Published online by Cambridge University Press:  01 June 2011

By
F. M. Izrailev  and
N. M. Makarov
Edited by
Alexei A. Maradudin
F. M. Izrailev
Affiliation:
Universidad Autónoma de Puebla, Apdo. Post. J-48, Puebla 72570, México
N. M. Makarov
Affiliation:
Universidad Autónoma de Puebla, Priv. 17 Norte No. 3417, Col. San Miguel Hueyotlipan, Puebla 72050, México
Alexei A. Maradudin
Affiliation:
University of California, Irvine
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Summary

Introduction

In recent years, increasing attention has been paid to the so-called correlated disorder in low-dimensional disordered systems. Interest in this subject is mainly due to two reasons. First, it was found that specific correlations in a disordered potential can result in quite unexpected anomalous properties of scattering. Second, it was shown that such correlations can be relatively easily constructed experimentally, at least in the one-dimensional Anderson model and in Kronig–Penney models of various types. Therefore, it seems to be feasible to fabricate random structures with desired scattering properties, in particular when one needs to suppress or enhance the localization in given frequency windows for scattering electrons or electromagnetic waves. In addition, it was understood that, in many real systems, correlated disorder is an intrinsic property of the underlying structures. One of the most important examples is a DNA chain, for which strong correlations in the potential have been shown to manifest themselves in an anomalous conductance. Thus, the subject of correlated disorder is important both from the theoretical viewpoint, and for various applications in physics.

The key point of the theory of correlated disorder is that the localization length for eigenstates in one-dimensional models absorbs the main effect of correlations in disordered potentials. This fact has been known since the earliest analytical studies of transport in continuous random potentials. However, until recently the main interest was in delta-correlated potentials, or in potentials with a Gaussian-type of correlation.

Type
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Information
Structured Surfaces as Optical Metamaterials , pp. 287 - 315
Publisher: Cambridge University Press
Print publication year: 2011

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