Detection of phase singularities with a Shack-Hartmann wavefront sensor.

While adaptive optical systems are able to remove moderate wavefront distortions in scintillated optical beams, phase singularities that appear in strongly scintillated beams can severely degrade the performance of such an adaptive optical system. Therefore the detection of these phase singularities is an important aspect of strong-scintillation adaptive optics. We investigate the detection of phase singularities with the aid of a Shack-Hartmann wavefront sensor and show that, in spite of some systematic deficiencies inherent to the Shack-Hartmann wavefront sensor, it can be used for the reliable detection of phase singularities, irrespective of their morphologies. We provide full analytical results, together with numerical simulations of the detection process.

[1]  G. Tyler,et al.  Reconstruction and assessment of the least-squares and slope discrepancy components of the phase. , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Amos Talmi,et al.  Wavefront reconstruction from its gradients. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  J. Herrmann,et al.  Least-squares wave front errors of minimum norm , 1980 .

[4]  R. Lane,et al.  Wave-front sensing from defocused images by use of wave-front slopes. , 2002, Applied optics.

[5]  M. Berry,et al.  Dislocations in wave trains , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  W. Southwell Wave-front estimation from wave-front slope measurements , 1980 .

[7]  William W. Arrasmith Branch-point-tolerant least-squares phase reconstructor , 1999 .

[8]  F. S. Roux Fluid dynamical enstrophy and the number of optical vortices in a paraxial beam , 2006 .

[9]  O. Tikhomirova,et al.  Theory of singular-phase reconstruction for an optical speckle field in the turbulent atmosphere. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  David R Williams,et al.  Accommodation with higher-order monochromatic aberrations corrected with adaptive optics. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  David L. Fried,et al.  Branch point problem in adaptive optics , 1998 .

[12]  David L Fried,et al.  Evaluation of the performance of Hartmann sensors in strong scintillation. , 2002, Applied optics.

[13]  R. Hudgin Wave-front reconstruction for compensated imaging , 1977 .

[14]  J. Herrmann,et al.  Cross coupling and aliasing in modal wave-front estimation , 1981 .

[15]  Roggemann,et al.  Wave-front sensing and deformable-mirror control in strong scintillation , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[16]  David L. Fried,et al.  Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements , 1977 .

[17]  Masayuki Hattori,et al.  An exact formulation of a filter for rotations in phase gradients and its applications to wavefront reconstruction problems , 2003 .