Abstract

An analytical expression for the two-frequency correlation function of reflected radiation\(p \equiv \equiv \left\langle {\dot U(w_1 )\dot U(w_2 )} \right\rangle\) is derived in the framework of the Kirchhoff approximation, assuming that the mean square roughness heights σ1,2 of the upper (σ1) and lower (σ2) boundaries are large compared to the wavelength λ and taking account of large-scale permittivity fluctuations δe in the layer. The condition under which p cannot be small when σi2 ≫ λ2 is specified. In particular, it is shown that if the scattering is only at the upper boundary of the layer (when σ1 ≠ 0, σ2 = δe = 0), then this condition is\(w_1 (1 - m\sqrt \varepsilon ) = - w_2 (1 - n\sqrt \varepsilon )\), where m, n=0, 1,.... The potential of the layered medium sounding methods based on the relations obtained is estimated.

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