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

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 demon...

Full description

Saved in:
Bibliographic Details
Published in:Chinese physics B 2012-03, Vol.21 (3), p.208-211
Main Authors: Zhu, Kai-Cheng, Li, Shao-Xin, Tang, Ying, Yu, Yan, Tang, Hui-Qin
Format: Article
Language:English
Subjects:
Bessel functions
Coherence
Exact solutions
Gaussian beams (optics)
Integrals
Mathematical analysis
Representations
Two dimensional
Wigner distribution
Wigner分布函数
分相
干贝
相干
积分表示
解析表达式
贝塞尔函数
高斯光束
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/3/034201