Calculation of Radar Reflections from Exponentially Correlated Surfaces

We study the reflection of plane waves and radar signals with synthesized apertures from statistically rough surfaces with an exponential height correlation function. Approximations of the correlation function are proposed using superpositions of the Gaussian functions. This makes it possible to develop an effective practical algorithm for simulating radar echoes. The results are verified against known asymptotic laws for diffuse wave reflection from random surfaces. The proposed computational approach can be applied in a wide range of situations where the stationary and transient wave fields from wave sources of different configurations are reflected from rough surfaces of the types considered here.