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Statistical success of nonimaging target shape estimation through a turbulent medium

In a recent paper the authors described a non-imaging technique for estimating the shape of remotely illuminated objects. The approach for non-imaging target shape estimation is model-based. In the absence of up-link energy fluctuations and pointing errors, a raster scan by the transmitter would produce the convolution of the expected far-field pattern with the object, providing a starting point for distinguishing targets. In this setting the referenced paper shows that it is possible to distinguish certain target shapes using a statistical confidence approach based on previous work by the authors. This paper describes a set of target models and a spectrum of far-field pattern full-width-half-maximums (FWHM). Simulations establish the optimal beam size necessary to distinguish among the models using the (chi) 2 statistical confidence. This report addresses the impact of up-link energy fluctuations due to transmitter aperture size DT relative to the Fried coherence length r0. In the regime DT/r0 < 3, the far-field pattern and Strehl fluctuations are well understood. Certain cases, such as small versus large targets, are relatively unaffected by up- link energy fluctuations.