Third Cumulant of the total Transmission of diffuse Waves

Details Third Cumulant of the total Transmission of diffuse Waves Third Cumulant of the total Transmission of diffuse Waves

1994-12-30

arxiv.org/abs/cond-mat/9412122v1

Physics

Condensed Matter

16 pages revtex, 8 separate postscript figures

Scientific paper

10.1103/PhysRevE.52.2053

The probability distribution of the total transmission is studied for waves multiple scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulant of this distribution is presented. Within a diagrammatic approach a theory is developed which relates the third cumulant normalized to the average, $\langle \langle T_a^3 \rangle \rangle$, to the normalized second cumulant $\langle \langle T_a^2 \rangle \rangle$. For a broad Gaussian beam profile it is found that $\langle \langle T_a^3 \rangle \rangle= \frac{16}{5} \langle \langle T_a^2 \rangle \rangle^2 $. This is in good agreement with data of optical experiments.

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