Abstract
An analytic formulation is derived for the broadband scattered field from a randomly rough surface based on Green's theorem employing perturbation theory. The matched filter is applied to resolve the scattered field within the range resolution footprint of a broadband imaging system. Statistical moments of the scattered field are then expressed in terms of the second moment characterization of the scattering surface. The broadband diffuse reverberation depends on the rough surface spectrum evaluated over a range of wavenumbers, centered at the Bragg wavenumber corresponding to the center frequency of the broadband pulse and extending to wavenumbers proportional to the signal bandwidth. A corresponding analytic broadband volume scattering model is derived from the Rayleigh-Born approximation to Green's theorem.
Published Version
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