2001/11/30 by Gabriel A. Cwilich, Gabriel Cwilich, Cwilich, Gabriel A. +2
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Scientific Research and Discoveries #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0112004
6 pages. Submitted to Proceedings of the Symposium "Microphotonics -- Materials, Physics, and Applications" MRS Meeting, Fall 2001
arxiv created 2001/11/30 · openalex publication_date 2001/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities, x, follow a universal form xa Exp(-xm) . This family of functions includes the Rayleigh distribution (when a=0, m=1) and the Dirac delta function (a -> Infinity), which are the expressions for intensity and transmission in the diffusive regime neglecting correlations. Finally, we find simple analytical expressions for the nth moment of the distributions and for to the ratio of the moments of the intensity and transmission, which generalizes the n! result valid in the above regime.