2,313 research outputs found
Selective Transparence of Single-Mode Waveguides with Surface Scattering
A random surface scattering in a one-mode waveguide is studied in the case
when the surface profile has long-range correlations along the waveguide.
Analytical treatment of this problem shows that with a proper choice of the
surface, one can arrange any desired combination of transparent and
non-transparent frequency windows. We suggest a method to find such profiles,
and demonstrate its effectiveness by making use of direct numerical
simulations.Comment: RevTex, 3 pages including 2 ps-figure
Selective Transport and Mobility Edges in Quasi-1D Systems with a Stratified Correlated Disorder
We present analytical results on transport properties of many-mode waveguides
with randomly stratified disorder having long-range correlations. To describe
such systems, the theory of 1D transport recently developed for a correlated
disorder is generalized. The propagation of waves through such waveguides may
reveal a quite unexpected phenomena of a complete transparency for a subset of
propagating modes. We found that with a proper choice of long-range
correlations one can arrange a perfect transparency of waveguides inside a
given frequency window of incoming waves. Thus, mobility edges are shown to be
possible in quasi-1D geometry with correlated disorder. The results may be
important for experimental realizations of a selective transport in application
to both waveguides and electron/optic nanodevices.Comment: RevTex, 4 pages, no figure
Signum Function Method for Generation of Correlated Dichotomic Chains
We analyze the signum-generation method for creating random dichotomic
sequences with prescribed correlation properties. The method is based on a
binary mapping of the convolution of continuous random numbers with some
function originated from the Fourier transform of a binary correlator. The goal
of our study is to reveal conditions under which one can construct binary
sequences with a given pair correlator. Our results can be used in the
construction of superlattices and waveguides with selective transport
properties.Comment: 14 pages, 7 figure
- …