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Phys. Rev. E 52, 2053–2065 (1995)

Third cumulant of the total transmission of diffuse waves

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M. C. W. van Rossum, Johannes F. de Boer, and Th. M. Nieuwenhuizen
Van der Waals–Zeeman Laboratorium, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

Received 30 December 1994; published in the issue dated August 1995

The probability distribution of the total transmission is studied for waves multiply scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulants of this distribution is presented. Within a diagrammatic approach a theory is developed that relates the third cumulant normalized to the average, 〈〈Ta3〉〉 to the normalized second cumulant 〈〈Ta2〉〉. For a broad Gaussian beam profile, it is found that 〈〈Ta3〉〉=16/3〈〈Ta22. This is in good agreement with data of optical experiments.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.52.2053
DOI:
10.1103/PhysRevE.52.2053
PACS:
42.25.Bs, 78.20.Dj, 72.15.-v