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Propagation law of partially coherent vortex beam
Opt. Eng. 51, 018002 (Feb 07, 2012); http://dx.doi.org/10.1117/1.OE.51.1.018002
We propose the analytic solution of cross-spectral density matrix (CSDM) of a partially coherent vortex beam while propagating. The solution to the propagation law is appropriate for a Gaussian Schell-model vortex beam to any order. It is found that the solution of CSDM of a Gaussian Schell-model beam revealed by Emil Wolf is a special instance. By this general solution, the intensity distribution, especially the degree of polarization and the mean-squared beam width of the partially coherent vortex beam, are investigated. It is found that the propagation character of the beam width is decided by the correlation-length, and that the topological charge affects only the value of the beam width.
© 2012 Society of Photo-Optical Instrumentation Engineers
History
Received Aug 11, 2011
Accepted Nov 11, 2011
Revised Oct 23, 2011
Published online Feb 07, 2012
Accepted Nov 11, 2011
Revised Oct 23, 2011
Published online Feb 07, 2012
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Panfeng Ding and Hongliang Ren, "Propagation law of partially coherent vortex beam",
Opt. Eng. 51, 018002 (Feb 07, 2012); http://dx.doi.org/10.1117/1.OE.51.1.018002
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