Geometrical study of paraxial light beam transmission in free space |
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| Authors: | Hong Guo Ximing Deng Qing Cao |
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| Affiliation: | (1) Institute of Quantum Electronics, South China Normal University, 510631 Guangzhou, China;(2) National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, 201800 Shanghai, China;(3) National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, 201800 Shanghai, China |
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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. 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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| Keywords: | Riemannian space imaginary space transform curvature superposition of curvatures |
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