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Third Cumulant of the total Transmission of diffuse Waves

M. C. W. van Rossum·Johannes F. de Boer·Th. M. Nieuwenhuizen
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Abstract

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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M. C. W. van Rossum, Johannes F. de Boer, Th. M. Nieuwenhuizen. 1994-12-30. Third Cumulant of the total Transmission of diffuse Waves. https://doi.org/10.1103/physreve.52.2053

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