Reconstruction of the singular phase of optical speckle field from the measurements of wave-front slopes

Abstract

The algorithms of reconstruction of singular phase from the measurements of wave front slopes by Hartmann sensor, shear interferometer, and from the interference measurements of Knox-Thompson are proposed. Based on the hydrodynamic approach to description of the wave front spatial dynamics we have developed the algorithms which make it possible the singular phase of an optical speckle field to be reconstructed with the use of analytic representation of the phase in terms of its partial derivatives with the allowance for the vortex nature of the phase gradient vector field.