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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 2 — Feb. 1, 2002
  • pp: 345–355

Theory of singular-phase reconstruction for an optical speckle field in the turbulent atmosphere

Valerii P. Aksenov and Olga V. Tikhomirova  »View Author Affiliations


JOSA A, Vol. 19, Issue 2, pp. 345-355 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000345


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Abstract

Analytical expressions are derived and computational algorithms are constructed for retrieving optical-field phase distribution under strong scintillation. The input data for the phase reconstruction are the wave-front slopes registered by a Hartmann sensor or shearing interferometer. The theory is based on representing the slope-vector field as the sum of its potential and solenoid components; it introduces the concept of phase-source and phase-vortex density and uses strict integral expressions relating these quantities to the wave-front slopes. To overcome the difficulties arising from the singular character of phase distribution, use is made of regularization of the wave-front slopes. The slopes can be measured with an ideal point wave-front sensor. It is shown that the slopes measured at the output of a nonideal sensor can be treated as regularized values of these slopes. Numerical simulation of phase unwrapping from the reference values of the wave-front slopes has shown that the algorithm designed for visualization of local phase singularities and those for phase reconstruction are very helpful in eliminating the measurement noise.

© 2002 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(110.6150) Imaging systems : Speckle imaging
(120.1880) Instrumentation, measurement, and metrology : Detection
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(350.1370) Other areas of optics : Berry's phase

History
Original Manuscript: January 7, 2001
Revised Manuscript: May 18, 2001
Manuscript Accepted: May 18, 2001
Published: February 1, 2002

Citation
Valerii P. Aksenov and Olga V. Tikhomirova, "Theory of singular-phase reconstruction for an optical speckle field in the turbulent atmosphere," J. Opt. Soc. Am. A 19, 345-355 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-2-345

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