Statistical scattering of waves in disordered waveguides: The limiting macroscopic statistics in the ballistic regime

Journal Article · Tue Dec 21 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3536613· OSTI ID:21510070

Yepez, M; Saenz, J J ^[1]; Mello, P A ^[2]

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1. Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, E-28049 Madrid (Spain)
2. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, 01000 Mexico, Distrito Federal (Mexico)

In this work, we present a theoretical study of the statistical properties of wave scattering in a disordered ballistic waveguide of length L; we have called this system the ''building block''. The building block is interesting as a physical system because its statistical properties could be studied experimentally in the laboratory.In order to study the building block, as a physical system in itself, we have developed a perturbative method based on Born series. This method is valid only in the ballistic regime, when the length of the system L is smaller than the mean free path l, and in the short-wave-length approximation, when the the wave number k and the mean free path l satisfy kl>>1. This method has allowed to find, analytically, the behavior of quantities of interest that we have not been able to find from the diffusion equation. In contrast with the diffusion equation method, which takes into account approximately the contribution of closed channels, this method takes them explicitly. In earlier works numerical evidence was found that the expectation values of some interesting quantities are insensitive to the number of closed channels that were used on the calculations; with this method, we could show that closed channels are relevant for the expectation values of amplitudes but irrelevant for the intensities and conductance expectation values. The results of this method show a good agreement with numerical simulations.

• OSTI ID: 21510070
• Journal Information: AIP Conference Proceedings, Vol. 1319, Issue 1; Conference: 4. Mexican meeting on experimental and theoretical physics, Mexico City (Mexico), 19-23 Jul 2010; Other Information: DOI: 10.1063/1.3536613; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
APPROXIMATIONS
COMPUTERIZED SIMULATION
DIFFUSION
DIFFUSION EQUATIONS
MEAN FREE PATH
SCATTERING
STATISTICS
WAVE EQUATIONS
WAVEGUIDES
WAVELENGTHS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION