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The Wigner distribution functions of coherent and partially coherent Bessel-Gaussian beams |
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| Authors: | Zhu Kai-Cheng Li Shao-Xin Tang Ying Yu Yan Tang Hui-Qin |
| Affiliation: | School of Physical Science and Technology, Central South University, Changsha 410083, China;Physical Staff Room, Guangdong Medical College, Dongguan 523808, China;School of Physical Science and Technology, Central South University, Changsha 410083, China;School of Physical Science and Technology, Central South University, Changsha 410083, China;School of Physical Science and Technology, Central South University, Changsha 410083, China |
| 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. |
| Keywords: | partially coherent Bessel-Gaussian beam Wigner function optical angular momentum |
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