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Volume 21 Issue 1
Sep.  2013
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Eigensolutions of wave equation in GRIN fibers:super-Gaussian beams

  • Received Date: 1995-12-12
    Accepted Date: 1995-12-12
  • In general case,super-Gaussian beam is not the solutions of Helmholtz equation and approximation condition of SVA.But,by means of varying the distribution of refractive index of transmitting medium,super-Gaussian beam could be the eigensolutions of Helmholtz equation.This paper proved that super-Gaussian beam is the eigensolution of wave equation in GRIN fiber, and derived the distribution function of refractive index.As the special examples of this paper,the cases of literature [3] and power law refractive index distribution are discussed.
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  • [1] 吕百达.激光光学,第二版.成都:四川大学出版社,1992:60

    [2]

    Parent A,Morin M,Lavigne P.Opt&Quant Electron,1992;24:1071
    [3]

    Ojeda-Castaneda J,Saavedra G,Lopez-Olazagasti E.Opt Commun,1993;120(1,2):21
    [4]

    Campbell J H,Barker C E,Vanwonterghem B M et al.CLEO/Pacific Rim.95,Chiba,Japan,1995 IEEE Publisher,1995:9
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Eigensolutions of wave equation in GRIN fibers:super-Gaussian beams

  • 1. Dept.of Applied Physics, Southwest Jiaotong University, Chengdu.610031;
  • 2. Institute of Laser Physics and Laser Chemistry, Sichuan University, Chengdu, 610064

Abstract: In general case,super-Gaussian beam is not the solutions of Helmholtz equation and approximation condition of SVA.But,by means of varying the distribution of refractive index of transmitting medium,super-Gaussian beam could be the eigensolutions of Helmholtz equation.This paper proved that super-Gaussian beam is the eigensolution of wave equation in GRIN fiber, and derived the distribution function of refractive index.As the special examples of this paper,the cases of literature [3] and power law refractive index distribution are discussed.

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