Scattering of Iso-Diffractive Pulsed Beams from Randomly Irregular Surfaces
The paraxial wave equation is employed to track the bichromatic correlation function of signals scattered by a randomly-irregular surface modelled as a phase-screen, and hence to compute the intensity-pulse returns of elementary beamed pulses emitted by an iso-diffractive Gaussian aperture (across which spectral lines are Gauss-distributed, with spreads adjusted to achieve a common Rayleigh distance). In a suitable asymptotic regime, the returns consist of two pulses on radically different time scales, which reflect the surface roughness and its effective slope, respectively. They are compared here with returns from small deterministic targets.
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