Theory of semi-ballistic wave propagation

Abstract

Wave propagation through waveguides, quantum wires or films with a modest amount of disorder is in the semi-ballistic regime when in the transversal direction(s) almost no scattering occurs, while in the long direction(s) there is so much scattering that the transport is diffusive. For such systems randomness is modelled by an inhomogeneous density of point-like scatterers. These are first considered in the second order Born approximation and then beyond that approximation. In the latter case it is found that attractive point scatterers in a cavity always have geometric resonances, even for Schrödinger wave scattering. In the long sample limit the transport equation is solved analytically. Various geometries are considered: waveguides, films, and tunneling geometries such as Fabry-Pérot interferometers and double barrier quantum wells. The predictions are compared with new and existing numerical data and with experiment. The agreement is quite satisfactory.

24 pages Revtex; 10 figures

Cited by in corpus (5)

• Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
• Intensity Distribution of Modes in Surface Corrugated Waveguides
• Point interaction in dimension two and three as models of small scatterers
• Contribution of evanescent waves to the effective medium of disordered waveguides
• Disorder to chaos transition in the conductance distribution of corrugated waveguides