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Coherence vortices of partially coherent beams in the far field
Authors:Liu Pu-Sheng  Lii Bai-da  
Affiliation:Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
Abstract:Based on the propagation law of cross-spectral density function,studied in this paper are the coherence vortices of partiallycoherent, quasi-monochromatic singular beams with Gaussianenvelope and Schell-model correlator in the far field, where ourmain attention is paid to the evolution of far-field coherencevortices into intensity vortices of fully coherent beams. Theresults show that, although there are usually no zeros ofintensity in partially coherent beams with Gaussian envelope andSchell-model correlator, zeros of spectral degree of coherenceexist. The coherence vortices of spectral degree of coherencedepend on the relative coherence length, mode index andpositions of pairs of points. If a point and mode index are keptfixed, the position of coherence vortices changes with theincrease of the relative coherence length. For the low coherentcase there is a circular phase dislocation. In the coherentlimit coherence vortices become intensity vortices of fullycoherent Laguerre--Gaussian beams.
Keywords:singular optics   coherencevortex in the far field   partially coherent beam   Schell-modelcorrelator   Gaussian envelope
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