Shear speckle imaging

Physics – Optics

Scientific paper

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Image Resolution, Speckle Patterns, Target Acquisition, Atmospheric Turbulence, Image Correlators, Iterative Solution, Signal To Noise Ratios

Scientific paper

A concept is described for the generation of high-resolution target images even when viewing through atmospheric turbulence, based on exploitation of laser-speckle statistics. A laser transmitter projects a moving sinusoidal (spatially)-modulated irradiance pattern on the target. The irradiance of the backscattered speckle pattern is measured at a set of small apertures distributed over some region on the ground. By developing the correlation of the time-varying signal measured at various pairs of apertures it is possible to obtain measurement values from which the target image can be developed. A bound is calculated for the technique using an approximation to an estimator of the needed correlation. The estimator is unbiased over photon statistics, speckle statistics, and scintillation statistics. The shear-speckle technique requires large numbers of data frames to achieve reasonable performance at moderate spatial frequencies. However, the good signal-to-noise ratios obtained for moderate numbers of frames at low spatial frequencies suggest that shear speckle might be used to augment other imaging techniques which have trouble at lower spatial frequencies.

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