A theoretical model of scattering from three-dimensional arbitrary layered media with 3D inflnite rough surfaces based on the small perturbation method (SPM) is derived in the present paper. The scattering fleld and bistatic scattering coe-cient for linear polarized waves are derived respectively. Firstly, the electric and magnetic flelds in each region of the layered structure are expanded into perturbation series in spectral domain. Secondly, the expansion coe-cients of each order are obtained by applying the boundary conditions. As a result, the expressions of the zeroth-, flrst- and second-order solutions of the scattering problem based on the SPM are obtained, in which the second-order solution is the primary contribution of this work. The theoretical model is helpful to understand the dependence between the scattering fleld and physical properties of the layered structure (such as surface roughness and dielectric constants at difierent depths). The result can be applied to modeling of the received radar signal from nature targets such as layered soil and ice with full polarizations.
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Lin et al. (2009) studied this question.
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