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Chin. Phys. B, 2011, Vol. 20(11): 114103    DOI: 10.1088/1674-1056/20/11/114103
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

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
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).

Cite this article: 

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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