Theoretical study on the vector behavior of single- and sub-cycle pulsed-beam propagation in free space

Hong Guo; Hua Tang; Xiquan Fu; Dongmei Deng; Guangshan Lu; Yunli Qiu; Mingwei Liu; Song Yu

doi:10.1117/12.478981

25 June 2003 Theoretical study on the vector behavior of single- and sub-cycle pulsed beam propagation in free space

Hong Guo, Hua Tang, Xiquan Fu, Dongmei Deng, Guangshan Lu, Yunli Qiu, Mingwei Liu, Song Yu

Proceedings Volume 4969, Laser Resonators and Beam Control VI; (2003) https://doi.org/10.1117/12.478981
Event: High-Power Lasers and Applications, 2003, San Jose, CA, United States

Abstract

In this paper, an integral solutions for the transverse and longitudinal components of the laser field for ultrashort pulsed-beam propagation in free space are derived, applying Fourier transform and the paraxial approximation in frequency domain. Furthermore, using the complex analytical signal (CAS) theory, the solutions for the components of a pulsed Gaussian-like beam in rectangular coordinate are derived and contrasted with those derived with slowly-varying-envelop-approximations (SVEA). Meanwhile, the results show that if the pulses as short as sub-cycle, SVEA will cause the spatial singularity for both transverse and longitudinal components of the laser field and CAS must be applied to eliminate the singularity.

Citation Download Citation

Hong Guo, Hua Tang, Xiquan Fu, Dongmei Deng, Guangshan Lu, Yunli Qiu, Mingwei Liu, and Song Yu "Theoretical study on the vector behavior of single- and sub-cycle pulsed beam propagation in free space", Proc. SPIE 4969, Laser Resonators and Beam Control VI, (25 June 2003); https://doi.org/10.1117/12.478981

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