中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2721-2724.doi: 10.1088/1009-1963/16/9/037

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An exact solution to paraxial propagation of laser beams in longitudinal inhomogeneous plasmas

周并举1, 黄正1, 刘明伟1, 刘小娟2   

  1. (1)School of Physics, Hunan University of Science and Technology, Xiangtan 411201, China; (2)School of Physics, Hunan University of Science and Technology, Xiangtan 411201, China;Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China
  • 收稿日期:2007-05-08 修回日期:2007-06-15 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~19874020) and the Natural Science Foundation of Hunan Province, China (Grant No~05JJ30004).

An exact solution to paraxial propagation of laser beams in longitudinal inhomogeneous plasmas

Zhou Bing-Ju(周并举)a)†, Huang Zheng(黄正)a), Liu Ming-Wei(刘明伟)a) and Liu Xiao-Juan(刘小娟)a)b)   

  1. a School of Physics, Hunan University of Science and Technology, Xiangtan 411201, China; b Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China
  • Received:2007-05-08 Revised:2007-06-15 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~19874020) and the Natural Science Foundation of Hunan Province, China (Grant No~05JJ30004).

摘要: An exact, general solution for laser beams propagating in longitudinally inhomogeneous plasmas is obtained in the form of the diffraction integral. The Gaussian beam and the Hermite--Gaussian beam are taken for example. In the case of an increasing plasma density along the propagation distance, natural diffraction of the Gaussian beam is retarded. This retardance has a less effect on the central part of the Hermite--Gaussian beam while a considerable rise of the power in bucket (PIB) occurs in the surrounding part of the beam.

关键词: inhomogeneous plasmas, laser beam, paraxial propagation, exact solution

Abstract: An exact, general solution for laser beams propagating in longitudinally inhomogeneous plasmas is obtained in the form of the diffraction integral. The Gaussian beam and the Hermite--Gaussian beam are taken for example. In the case of an increasing plasma density along the propagation distance, natural diffraction of the Gaussian beam is retarded. This retardance has a less effect on the central part of the Hermite--Gaussian beam while a considerable rise of the power in bucket (PIB) occurs in the surrounding part of the beam.

Key words: inhomogeneous plasmas, laser beam, paraxial propagation, exact solution

中图分类号:  (Laser-plasma interactions)

  • 52.38.-r
42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 52.25.-b (Plasma properties)