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The Wigner distribution functions of coherent and partially coherent Bessel–Gaussian beams |
Zhu Kai-Cheng(朱开成)a)†, Li Shao-Xin(李绍新)b), Tang Ying(唐英)a), Yu Yan(余燕)a), and Tang Hui-Qin(唐慧琴)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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Received: 05 July 2011
Revised: 05 September 2011
Accepted manuscript online:
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PACS:
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42.25.-p
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(Wave optics)
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42.60.Jf
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(Beam characteristics: profile, intensity, and power; spatial pattern formation)
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42.25.Kb
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(Coherence)
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Corresponding Authors:
Zhu Kai-Cheng,zhukaicheng@vip.sina.com
E-mail: zhukaicheng@vip.sina.com
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Cite this article:
Zhu Kai-Cheng(朱开成), Li Shao-Xin(李绍新), Tang Ying(唐英), Yu Yan(余燕), and Tang Hui-Qin(唐慧琴) The Wigner distribution functions of coherent and partially coherent Bessel–Gaussian beams 2012 Chin. Phys. B 21 034201
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