The Wigner distribution functions of coherent and partially coherent Bessel–Gaussian beams

doi:10.1088/1674-1056/21/3/034201

中国物理B ›› 2012, Vol. 21 ›› Issue (3): 34201-034201.doi: 10.1088/1674-1056/21/3/034201

朱开成¹,李绍新²,唐英¹,余燕¹,唐慧琴¹

收稿日期:2011-07-05 修回日期:2011-09-05 出版日期:2012-02-15 发布日期:2012-02-15
通讯作者: 朱开成,zhukaicheng@vip.sina.com E-mail:zhukaicheng@vip.sina.com

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

Received:2011-07-05 Revised:2011-09-05 Online:2012-02-15 Published:2012-02-15
Contact: Zhu Kai-Cheng,zhukaicheng@vip.sina.com E-mail:zhukaicheng@vip.sina.com

摘要/Abstract

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.

Key words: partially coherent Bessel-Gaussian beam, Wigner function, optical angular momentum

中图分类号: (Wave optics)

42.25.-p

42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 42.25.Kb (Coherence)

朱开成, 李绍新, 唐英, 余燕, 唐慧琴. [J]. 中国物理B, 2012, 21(3): 34201-034201.

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[J]. Chin. Phys. B, 2012, 21(3): 34201-034201.

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The Wigner distribution functions of coherent and partially coherent Bessel–Gaussian beams

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