Abstract

The use of the bispectrum as a tool to handle the phase-retrieval problem associated with speckle interferometry is examined. The basic concepts and equations involved in bispectral imaging are discussed. Based in signal-to-noise ratio considerations, a simple recipe to predict the success of bispectral imaging is given. Because of their higher noise tolerance, two least-squares minimization schemes are used to reconstruct the object Fourier phase encrypted in the bispectral phase. The error-reduction algorithm for phase retrieval is applied in conjunction with the minimization procedures to overcome stagnation at local minima. Examples with simulated and real astronomical data are presented, including a comparison of the outcome of bispectral processing applied to both adaptively compensated and uncompensated data. The resulting diffraction-limited reconstructions are very similar.

© 1996 Optical Society of America

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