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Invariant integral and statistical equations of paraxial light beam transmission in free space

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Abstract

The statistical behavior of arbitrary paraxial light beams propagating in free space is investigated by using the Hermite-Gaussian expansion method and Fock’s representation. A series of equivalent Gaussian parameters for paraxial beam and the statistical equations for these parameters are presented. The optical transmission problem in quasi-far field region is studied. The so-called general Hermite-Gaussian beam is defined.

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Authors and Affiliations

  1. Institute of Quantum Electronics, South China Normal University, 510631, Guangzhou, China

    Ximing Deng & Hong Guo

  2. National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, 201800, Shanghai, China

    Ximing Deng, Hong Guo & Qing Cao

Authors
  1. Ximing Deng
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  2. Hong Guo
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  3. Qing Cao
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Additional information

Project partly supported by the National Hi-tech Inertial Confinement Fusion Committee, the Natural Science Foundation of Guangdong Province, the Postdoctoral Foundation of China and Guangdong Province.

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Deng, X., Guo, H. & Cao, Q. Invariant integral and statistical equations of paraxial light beam transmission in free space. Sci. China Ser. A-Math. 40, 546–554 (1997). https://doi.org/10.1007/BF02896964

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  • DOI: https://doi.org/10.1007/BF02896964

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