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Geometrical study of paraxial light beam transmission in free space

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Abstract

By introducing an imaginary space transform curvature ρs, a complex space called Riemannian space is constructed, in which the light propagating in free space has the trajectory of straight line while propagating. Moreover, this curvature couples with that of the wave front of the paraxial beam ρw, and therefore a complex curvature ρc is constructed, which can be employed to investigate the behavior of the light transmission and to generalize the ABCD law.

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References

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Authors and Affiliations

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

    Hong Guo & Ximing Deng

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

    Hong Guo & Ximing Deng

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

    Qing Cao

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

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

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Guo, H., Deng, X. & Cao, Q. Geometrical study of paraxial light beam transmission in free space. Sci. China Ser. A-Math. 40, 644–651 (1997). https://doi.org/10.1007/BF02876069

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  • DOI: https://doi.org/10.1007/BF02876069

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