Kurtosis parameters of super Lorentz-Gauss beams through a paraxial and real ABCD optical system

被引：1
|
作者：
Zhou Guo-Quan [1 ]
机构：
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Peoples R China
来源：
CHINESE PHYSICS B | 2011年 / 20卷 / 11期
基金：
中国国家自然科学基金;
关键词：
super Lorentz-Gauss beam; kurtosis parameter; intensity moment; FRACTIONAL FOURIER-TRANSFORM; FLAT-TOPPED BEAMS; ANALYTICAL EXPRESSION; PROPAGATION; SUPERPOSITION;
D O I：
10.1088/1674-1056/20/11/114103
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the propagation equation of higher-order intensity moments, analytical propagation expressions for the kurtosis parameters of a super Lorentz-Gauss (SLG) SLG(01) beam through a paraxial and real ABCD optical system are derived. By replacing the parameters in the expressions of the kurtosis parameters of the SLG(01) beam, the kurtosis parameters of the SLG(10) and SLG(11) beams through a paraxial and real ABCD optical system can be easily obtained. The kurtosis parameters of an SLG(01) beam through a paraxial and real ABCD optical system depend on two ratios. One is the ratio of the transfer matrix element B to the product of the transfer matrix element A and the diffraction-free range of the super-Lorentzian part. The other is the ratio of the width parameter of the super-Lorentzian part to the waist of the Gaussian part. As a numerical example, the properties of the kurtosis parameters of an SLG(01) beam propagating in free space are illustrated. The influences of different parameters on the kurtosis parameters of an SLG(01) beam are analysed in detail.
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页数：8
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