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

doi:10.1088/1674-1056/20/11/114103

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 114103-114103.doi: 10.1088/1674-1056/20/11/114103

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

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

周国泉

School of Sciences, Zhejiang A & F University, Lin'an 311300, China

收稿日期:2011-04-01 修回日期:2011-05-06 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.10974179) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y1090073).

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

Zhou Guo-Quan (周国泉)^†

School of Sciences, Zhejiang A & F University, Lin'an 311300, China

Received:2011-04-01 Revised:2011-05-06 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.10974179) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y1090073).

摘要/Abstract

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) SLG₀₁ beam through a paraxial and real ABCD optical system are derived. By replacing the parameters in the expressions of the kurtosis parameters of the SLG₀₁ beam, the kurtosis parameters of the SLG₁₀ and SLG₁₁ beams through a paraxial and real ABCD optical system can be easily obtained. The kurtosis parameters of an SLG₀₁ 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 SLG₀₁ beam propagating in free space are illustrated. The influences of different parameters on the kurtosis parameters of an SLG₀₁ beam are analysed in detail.

Abstract: Based on the propagation equation of higher-order intensity moments, analytical propagation expressions for the kurtosis parameters of a super Lorentz-Gauss (SLG) SLG₀₁ beam through a paraxial and real ABCD optical system are derived. By replacing the parameters in the expressions of the kurtosis parameters of the SLG₀₁ beam, the kurtosis parameters of the SLG₁₀ and SLG₁₁ beams through a paraxial and real ABCD optical system can be easily obtained. The kurtosis parameters of an SLG₀₁ 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 SLG₀₁ beam propagating in free space are illustrated. The influences of different parameters on the kurtosis parameters of an SLG₀₁ beam are analysed in detail.

Key words: super Lorentz-Gauss beam, kurtosis parameter, intensity moment

中图分类号: (Particle beam profile, beam intensity)

41.85.Ew

42.25.Bs (Wave propagation, transmission and absorption)

周国泉. Kurtosis parameters of super Lorentz–Gauss beams through a paraxial and real ABCD optical system[J]. 中国物理B, 2011, 20(11): 114103-114103.

Zhou Guo-Quan (周国泉) . Kurtosis parameters of super Lorentz–Gauss beams through a paraxial and real ABCD optical system[J]. Chin. Phys. B, 2011, 20(11): 114103-114103.

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

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

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