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Volume 39 Issue 5
Jul.  2015
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Influence of gradient-index medium on propagation property of complex variable sinh-Gaussian beam

  • Received Date: 2014-07-27
    Accepted Date: 2014-12-05
  • In order to study influence of gradient-index medium on propagation property of complex variable sinh-Gaussian beam, propagation field of complex variable sinh-Gaussian beam in a gradient-index medium was deduced by means of generalized Huygens-Fresnel diffraction integral method. The expressions of spot size and its change rate were deduced by using the definitions of spatial second-order matrix. Then, the numerical stimulation and analysis were made. The results show that the spot size and its change rate changes with the increasing of propagation distance periodically and the periodical cycles are determined by gradient-index parameters. With the changing of beam parameters, the spot location and the periodical cycle are constant, but the oscillation amplitude of the spot size will change. The spot size and its location can be changed by adjusting these parameters. The study is helpful for development and application of high-power semiconductor lasers.
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Influence of gradient-index medium on propagation property of complex variable sinh-Gaussian beam

  • 1. College of Engineering and Technology, Neijiang Normal University, Neijiang 641112, China;
  • 2. Institute of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610066, China

Abstract: In order to study influence of gradient-index medium on propagation property of complex variable sinh-Gaussian beam, propagation field of complex variable sinh-Gaussian beam in a gradient-index medium was deduced by means of generalized Huygens-Fresnel diffraction integral method. The expressions of spot size and its change rate were deduced by using the definitions of spatial second-order matrix. Then, the numerical stimulation and analysis were made. The results show that the spot size and its change rate changes with the increasing of propagation distance periodically and the periodical cycles are determined by gradient-index parameters. With the changing of beam parameters, the spot location and the periodical cycle are constant, but the oscillation amplitude of the spot size will change. The spot size and its location can be changed by adjusting these parameters. The study is helpful for development and application of high-power semiconductor lasers.

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