Reconstruction of imagery degraded by atmospheric turbulence is a problem of great practical importance. We discuss conditions for uniqueness in several inverse problems, including phase retrieval and phase diversity. In each case, the setting considered is incoherent imaging through Kolmogorov turbulence. We show that this model yields strong results, in particular that each problem has a unique solution (up to trivial ambiguities) with probability 1.

© 2014 Optical Society of America

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