Scattering of a narrow wave beam in the pulsed irradiation of a randomly irregular surface in the atmosphere

We consider the problem of wave beam scattering in the pulsed irradiation of a randomly irregular surface in the atmosphere in the case of significant shading of some surface elements by other surface elements. Using the Kirchhoff method, we obtain an analytical expression for the average power that is registered by a receiver. The influence of shading on the shape of the received pulse in the turbulent atmosphere is studied.