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Chinese Physics, 2007, Vol. 16(2): 411-415    DOI: 10.1088/1009-1963/16/2/021

Coherence vortices of partially coherent beams in the far field

Liu Pu-Sheng(刘普生) and Lü Bai-da(吕百达)
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 partially coherent, quasi-monochromatic singular beams with Gaussian envelope and Schell-model correlator in the far field, where our main attention is paid to the evolution of far-field coherence vortices into intensity vortices of fully coherent beams. The results show that, although there are usually no zeros of intensity in partially coherent beams with Gaussian envelope and Schell-model correlator, zeros of spectral degree of coherence exist. The coherence vortices of spectral degree of coherence depend on the relative coherence length, mode index and positions of pairs of points. If a point and mode index are kept fixed, the position of coherence vortices changes with the increase of the relative coherence length. For the low coherent case there is a circular phase dislocation. In the coherent limit coherence vortices become intensity vortices of fully coherent Laguerre--Gaussian beams.
Keywords:  singular optics      coherence vortex in the far field      partially coherent beam      Schell-model correlator      Gaussian envelope  
Received:  22 June 2006      Revised:  12 July 2006      Accepted manuscript online: 
PACS:  42.25.Bs (Wave propagation, transmission and absorption)  
  02.60.-x (Numerical approximation and analysis)  
  42.25.Kb (Coherence)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10574097).

Cite this article: 

Liu Pu-Sheng(刘普生) and Lü Bai-da(吕百达) Coherence vortices of partially coherent beams in the far field 2007 Chinese Physics 16 411

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