An integral equation for the average radiation intensity in a stochastically macroinhomogeneous

An integral equation for the average intensity is derived for a simplified model of a stochastic macroinhomogeneous medium in the form of a stochastic field of attenuation and scattering co-efficients. This equation can be solved by the Monte Carlo method. A simulation algorithm is developed, maximally approximating the well-known algorithm for a deterministic medium. As an example, the algorithm is used to calculate the flux of solar radiation transmitted through a cloud layer.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 103–107, September, 1977.The authors are indebted to G. A. Mikhailov for a discussion and valuable comments as well as to G. M. Krekov for general interest and consultation.