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Spatial and temporal properties of ultrashort pulses propagating in free space
Authors:Baida Lü  Zhijun Liu
Affiliation:1. Institute of Laser Physics and Chemistry, Sichuan University , Chengdu, 610064, China E-mail: badalu@scu.edu.cn;2. State Key Laboratory of Laser Technology , Huazhong University of Science &3. Technology , Wuhan, 430074, China;4. Institute of Laser Physics and Chemistry, Sichuan University , Chengdu, 610064, China E-mail: badalu@scu.edu.cn
Abstract:Abstract

By means of the Rayleigh diffraction integral and analytic signal complex representation, the propagation equation of ultrashort pulses in free space is derived, which permits us to study spatial and temporal properties of ultrashort pulses during propagation in free space. It is shown that the pulse deformation and broadening, spectrum redshifting, narrowing and distortion can take place with increasing diffraction angle, and the pulse form changes with propagation distance in the near field, but is preserved in the far field. A comparison with previous work is also made.
Keywords:
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