Applicability of kurtosis parameter characterizing the degree of sharpness of beam intensity distribution
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1.
Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China;
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2.
Department of Physics, Qiongzhou University, Wuzhishan 572200, China
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Received Date:
2004-05-11
Accepted Date:
2004-06-15
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Abstract
It is known that usually the degree of sharpness (or flatness) of beam intensity distribution is described by the kurtosis parameter (K parameter).Taking cosh-Gaussian (ChG),Bessel-modulated Gaussian (QBG),and flattened Gaussian (FG) beams as three illustrative examples,detailed numerical calculations and physical interpretations were given.It is shown that the K parameter is suited essentially to characterize the sharpness of the bell-shape beam profile,but not applicable to beams with large diffraction sidelobes,large intensity modulations,and beams with central shadow.
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References
[1]
|
SIEGMAN A E.New developments in laser resonators [J].SPIE,1990,1224:2~14. |
[2]
|
MARTINEZ-HERRERO R,PIQUERO G,MEJIAS P M.On the propagation of the kurtosis parameter of general beams [J].Opt Commun,1995,115:225~232. |
[3]
|
HRICHA Z,DALIL-ESSAKALI L,IBNCHAIKH M et al.Kurtosis factor of some truncated and non-truncated laser beams [J].Phys Chem News,2001,3(9):11~16. |
[4]
|
COLLINS S A.Lens-system diffraction integral written terms of matrix optics [J].J O S A,1970,60(7):1168~1177. |
[5]
|
BOCK R D.Multivariate statistical method in behavioral research[M].New York:McGraw-Hill,1975.71. |
[6]
|
CASPERSON L W,HALL D G,TOVAR A A.Sinusoidal-Gaussian beams in complex optical systems [J].J O S A,1997,A14(12):3341~3348. |
[7]
|
CARON C F R,POTVLIEGE R M.Bessel-modulated Gaussian beams with quadratic radial dependence [J].Opt Commun,1999,164:83~93. |
[8]
|
GORI F.Flattened gaussian beams [J].Opt Commun,1994,107:335~341. |
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Proportional views
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