Abstract

A nonorthogonal model for 2D signals with rotational components is presented, which enables estimation of phase values from observations of its local gradients. In this research, the rotational components are caused by the presence of branch points, which indicates phase wrapping. Using the proposed model, the phase is estimated using standard least-squares or recently proposed wavelet techniques by processing a linear combination of the wrapped observed gradients and the curl generated by phase wrapping.

Branch-point-tolerant least-squares phase reconstructor

William W. Arrasmith
J. Opt. Soc. Am. A 16(7) 1864-1872 (1999)

Branch point problem in adaptive optics

David L. Fried
J. Opt. Soc. Am. A 15(10) 2759-2768 (1998)

Reconstruction and assessment of the least-squares and slope discrepancy components of the phase

Glenn A. Tyler
J. Opt. Soc. Am. A 17(10) 1828-1839 (2000)

Least-squares modal estimation of wrapped phases: application to phase unwrapping

Justo Arines
Appl. Opt. 42(17) 3373-3378 (2003)

Branch-point reconstruction in laser beam projection through turbulence with finite-degree-of-freedom phase-only wave-front correction

Michael C. Roggemann and Alan C. Koivunen
J. Opt. Soc. Am. A 17(1) 53-62 (2000)