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

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

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.

Keywords: super Lorentz-Gauss beam kurtosis parameter intensity moment

Received: 01 April 2011
Revised: 06 May 2011
Accepted manuscript online:

PACS:	41.85.Ew	(Particle beam profile, beam intensity)
	42.25.Bs	(Wave propagation, transmission and absorption)

Fund: 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).

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

[1]	Naqwi A and Durst F 1990 Appl. Opt. 29 1780
[2]	Yang J, Chen T T, Ding G L and Yuan X 2008 Proc. SPIE 6824 68240A
[3]	Gawhary O E and Severini S 2006 J. Opt. A: Pure Appl. Opt. 8 409
[4]	Gawhary O E and Severini S 2007 Opt. Commun. 269 274
[5]	Torre A, Evans W A B, Gawhary O E and Severini S 2008 J. Opt. A: Pure Appl. Opt. 10 115007
[6]	Zhou G Q, Zheng J and Xu Y Q 2008 J. Mod. Opt. 55 993
[7]	Zhou G Q 2008 Appl. Phys. B 93 891
[8]	Zhou G Q 2009 Chin. Phys. B 18 2779
[9]	Zhou G Q 2009 J. Opt. Soc. Am. B 26 141
[10]	Zhou G Q 2009 J. Opt. Soc. Am. A 26 350
[11]	Zhou P, Wang X L, Ma Y X, Ma H T, Xu X J and Liu Z 2010 J. Opt. 12 015409
[12]	Zhou P, Wang X L, Ma Y X and Liu Z J 2010 Appl. Opt. 49 2497
[13]	Zhou G Q and Chu X X 2010 Opt. Express 18 726
[14]	Zhou G Q 2010 J. Opt. Soc. Am. A 27 563
[15]	Zhou G Q 2010 J. Opt. 12 035704
[16]	Zhou G Q 2010 Appl. Phys. B 101 371
[17]	Zhou G Q 2010 J. Opt. 12 055701
[18]	Zhou G Q 2010 Chin. Phys. B 19 064201
[19]	Martinez-Herrero R, Piquero G and Mejias P M 1995 Opt. Commun. 115 225
[20]	Amarande S A 1996 Opt. Commun. 129 311
[21]	Saghafi S, Sheppard C J R and Piper J A 2001 Opt. Commun. 191 173
[22]	Lü B D and Luo S R 2002 J. Mod. Opt. 49 1731
[23]	Mart'hi-López L, Mendoza-Yero O and Dirckx J J J 2002 J. Opt. Soc. Am. A 19 1572
[24]	Zhao D M, Mao H D and Sun D 2003 Optik 114 535
[25]	Mao H D, Zhao D M, Jing F, Liu H J and Wei X F 2004 J. Opt. A: Pure Appl. Opt. 6 640
[26]	Mei Z R and Zhao D M 2005 J. Opt. Soc. Am. A 22 1898
[27]	Eyyuboglu H T, Arpali C and Baykal Y K 2006 Opt. Express 14 4196
[28]	Zhou G Q 2011 J. Opt. 13 035705
[29]	Bock B D 1975 Multivariate Statistical Method in Behavioral Research (New York: McGraw-Hill)
[30]	Weber H 1992 Opt. Quantum Electron. 24 S1027
[31]	Zhang E T, Ji X L and Lü B D 2009 Chin. Phys. B 18 571
[32]	Zhou P, Liu Z J, Xu X J and Chu X X 2010 Chin. Phys. B 19 024205

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

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