Reflection of signals from a randomly oscillating conducting plane

The problem of signal reflection from a conducting plane in random oscillation is considered. The mean reflected signal is found to depend, in general, on the characteristic function of the stochastic process that describes the random oscillation of the conducting plane. Asymptotic expressions for the mean reflected signal are derived. For a monochromatic signal it is shown that the amplitude of the reflected signal depends on the ratio between the wavelength and the rms displacement of the conducting plane from its mean position. Also, from the mean reflected signal, information about the statistical properties of the random oscillation may be obtained under certain conditions.