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Electromagnetic Waves Through Disordered Systems: Comparison of Intensity, Transmission and Conductance

Published online by Cambridge University Press:  17 March 2011

Fredy R Zypman  and
Gabriel Cwilich
Fredy R Zypman
Affiliation:
Yeshiva University, Department of Physics, New York, NY 10033
Gabriel Cwilich
Affiliation:
Yeshiva University, Department of Physics, New York, NY 10033
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Abstract

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, YU(x) = xne−xμ. This family of functions includes the Rayleigh distribution (when α=0, μ=1) and the Dirac delta function (α →+ ∞), 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 previous case.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 694: Symposium K – Microphotonics 2001–Materials, Physics and Applications , 2001 , K5.8
Copyright
Copyright © Materials Research Society 2002

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