The Wigner distribution functions of coherent and partially coherent Bessel-Gaussian beams |
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| Authors: | Zhu Kai-Cheng a Li Shao-Xin b Tang Ying a Yu Yan a and Tang Hui-Qin |
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| Institution: | a) a) School of Physical Science and Technology,Central South University,Changsha 410083,China b) Physical Staff Room,Guangdong Medical College,Dongguan 523808,China |
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| Abstract: | Based on the integral representation of the Bessel functions and the generating function of the Tricomi function,an analytical expression of the Wigner distribution function(WDF) for a coherent or partially coherent Bessel-Gaussian beam is presented.The reduced two-dimensional WDFs are also demonstrated graphically,which reveals the dependence of the reduced WDFs on the beam parameters. |
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| Keywords: | partially coherent Bessel-Gaussian beam Wigner function optical angular momentum |
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