Scattering of a narrow optical beam by a randomly rough, locally Lambert surface in a scattering medium

We consider scattering of a narrow optical beam in a scattering medium by a randomly rough surface with Lambert indicatrix of local scattering. Expression for the average power of a signal recorded by the receiver is found for the Gaussian distribution of heights and rough-surface tilts. The obtained formala makes it possible to correctly describe the received-signal power both in a transparent and optically dense atmosphere. It is shown that in the bistatic sounding scheme, the received-signal power significantly depends on the surface heights variance. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 49, No. 2, pp. 141–149, February 2006.