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Volume 28 Issue 5
Sep.  2013
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The correspondence between flattened Gaussian beams and flat-topped multi-Gaussian beams

  • Received Date: 2003-10-20
    Accepted Date: 2003-12-02
  • The comparison of the two mathematical-physical models describing flat-topped beams,i.e.,the flattened Gaussian beam (FGB) and flat-topped multi-Gaussian beam (FMGB) is made.Numerical results and physical analysis are given.It is found that both FMGB and FGB having the same M2 factor exhibit a similar transversal intensity distribution at a position of the equal generalized Fresnel number,whenever their waist width is equal or not.This conclusion is useful for practical applications.
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  • [1] PARENT A,MARIN M,LAVIGNE P.Propagation of super-Gaussian field distribution[J].Opt Quant Electron,1992,24:1071~1079.[2] GORI F.Flattened Gaussian beams[J].Opt Commun,1994,107:335~341.[3] LÜ B D,MA H.Coherent and incoherent combinations of off-axis Gaussian neams with rectangular symmetry[J].Opt Commun,1999,171:185~194.[4] TOVA A T.Propagation of flat-topped multi-Gaussian laser beams[J].J O S A,2001,A18 :1897~1904.[5] LI B Z,LÜ B D.Irradiance-moments characterization of off-axis Gaussian beam combinations by means of the wigner distribution function[J].Optik,2002,113:469~475.[6] LÜ B D,LUO Sh R,ZHANG B.Propagation of flattened Gaussian beams with rectangular symmetry passing through a paraxial optical ABCD system with and without aperture[J].Opt Commun,1999,164:1~6.[7] 罗时荣,吕百达,张彬.平顶高斯光束与超高斯光束传输特性的比较研究[J].物理学报,1999,48:1446~1451.

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    沈阳化工大学材料科学与工程学院 沈阳 110142

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The correspondence between flattened Gaussian beams and flat-topped multi-Gaussian beams

  • 1. Department of Physics, Qiongzhou University, Wuzhishan 572200, China;
  • 2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

Abstract: The comparison of the two mathematical-physical models describing flat-topped beams,i.e.,the flattened Gaussian beam (FGB) and flat-topped multi-Gaussian beam (FMGB) is made.Numerical results and physical analysis are given.It is found that both FMGB and FGB having the same M2 factor exhibit a similar transversal intensity distribution at a position of the equal generalized Fresnel number,whenever their waist width is equal or not.This conclusion is useful for practical applications.

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