2001/04/01 by Eric Akkermans, Éric Akkermans, Akkermans, Eric +2
Chemistry · Engineering · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optical Polarization and Ellipsometry #Random lasers and scattering media #Spectroscopy and Laser Applications #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0104013
17 pages, no figure, proceedings of the Cargese advanced study institute on "Wave and Imaging through Random Media", Kluwer (2001)
arxiv created 2001/04/01 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
These notes contain a rapid overview of the methods and results obtained in the field of propagation of waves in disordered media. The case of Schrödinger and Helmholtz equations are considered that describe respectively electrons in metals and scalar electromagnetic waves. The assumptions on the nature of disorder are discussed and perturbation methods in the weak disorder limit are presented. A central quantity, namely the probability of quantum diffusion is defined and calculated in the same limit. It is then shown that several relevant physical quantities are related to the return probability. Examples are provided to substantiate this, which include the average electrical conductivity, its fluctuations, the average albedo and spectral correlations.