Non-Rayleigh Scattering by a Randomly Oriented Elongated Scatterer Randomly Located in a Beam
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The echo statistics of a randomly rough, randomly oriented prolate spheroid that is randomly located in the beam-pattern are investigated from physics-based principles both analytically and numerically. This is a direct-path geometry in which reflections from neighboring boundaries are not a factor. The statistics and, in particular, the tails of the probability density function (pdf) and probability of false alarm (PFA) are shown to be strongly non-Rayleigh and a strong function of shape of scatterer. The tails are shown to increase above that associated with a Rayleigh distribution with increasing degree of elongation (aspect ratio) of the scatterer and when roughness effects are introduced. And, as also shown in previous studies, the effects associated with the scatterer being randomly located in the beam contribute to the non-Rayleigh nature of the echo.