Phase retrieval from one or more intensity measurements is a potentially
powerful and appealing technique for real-time adaptive-optics wave-front
sensors. Under the assumption of small wave-front phase excursions, one is
able to derive an exact solution to the inverse problem given three or more
intensity measurements with known phase offsets. Applications include a high-order
wave-front sensor to correct for residual aberrations in an adaptive-optics
system in tandem with a low-resolution Hartmann–Shack
wave-front sensor. The formula can also furnish mathematical insights into
the full nonlinear phase-retrieval task.
© 1998 Optical Society of America
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