Direct wavefront sensing using geometric optics

Statistics – Applications

Scientific paper

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Scientific paper

We describe a novel technique for deriving wave-front aberrations from two defocused intensity measurements. The intensity defines a probability density function, and the method is based on the evolution of the cumulative density function of the intensity with light propagation. In one dimension, the problem is easily solved using a histogram specification procedure, with a linear relationship between the wave-front slope and the difference in the abscissas of the histograms. In two dimensions, the method requires the use of a Radon transform. Simulation results demonstrate that very good reconstructions can be attained down to 100 photons in each detector. In addition, the method is insensitive to scintillation at the aperture.

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