Wave propagation in random waveguides with long-range correlations

Wave Propagation in Random Waveguides with Long-Range Correlations

In this paper we consider an acoustic waveguide with random fluctuations of its sound speed profile. These random perturbations are assumed to have long-range correlation properties. In waveguides a monochromatic wave can be decomposed in propagating modes and evanescent modes, and the random perturbation couples all these modes. Using asymptotic analysis of the modecoupling mechanism we give a...

Wave Propagation and Imaging in Random Waveguides

Electromagnetic Wave Propagation in Random Waveguides

Abstract. We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an isotropic linear dielectric material, with randomly fluctuating electric permittivity. The fluctuations are weak, but they cause significant cumulative scattering over long distances of propagation of the wave...

Pulse Propagation in Random Media with Long-Range Correlation

Abstract. This paper analyses wave propagation in a one-dimensional random medium with long-range correlations. The asymptotic regime where the fluctuations of the medium parameters are small and the propagation distance is large is studied. In this regime pulse propagation is characterized by a random time shift described in terms of a fractional Brownian motion and a deterministic spreading d...

Long-Range Correlations in the Wave Functions of Chaotic Systems.

Vladimir I. Fal’ko1,3,4 and K. B. Efetov2,5 1School of Physics & Chemistry, Lancaster University, LA1 4YB Lancaster, United Kingdom 2Max-Planck-Institut für Physik Komplexer Systeme, Heisenbergstrasse 1, 70569 Stuttgart, Germany 3Department of Theoretical Physics, Oxford University, 1 Keble Road, OX1 3NP, Oxford, United Kingdom 4Institute of Solid State Physics RAS, Chernogolovka, 142432 Russia...