Mcw. Vanrossum et al., 3RD CUMULANT OF THE TOTAL TRANSMISSION OF DIFFUSE WAVES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(2), 1995, pp. 2053-2065
The probability distribution of the total transmission is studied for
waves multiply scattered from a random, static configuration of scatte
rers. A theoretical study of the second and third cumulants of this di
stribution is presented. Within a diagrammatic approach a theory is de
veloped that relates the third cumulant normalized to the average [[T-
a(3)]] to the normalized second cumulant [[T-a(2)]]. For a broad G;aus
sian beam profile, it is found that [[T-a(3)]] = 18/5[[T-a(2)]](2). Th
is is in good agreement with data of optical experiments.