Propagation characteristics of the space-time complex variables Airy-Laguerre-Gaussian wave packets

Xiaping Zhang

doi:10.1117/12.2653682

18 November 2022 Propagation characteristics of the space-time complex variables Airy-Laguerre-Gaussian wave packets

Xiaping Zhang

Proceedings Volume 12473, Second International Conference on Optics and Communication Technology (ICOCT 2022); 124730B (2022) https://doi.org/10.1117/12.2653682
Event: Second International Conference on Optics and Communication Technology (ICOCT 2022), 2022, Hefei, China

Abstract

The space-time complex variables Airy-Laguerre-Gaussian wave packets are the Laguerre-Gaussian wave packets, which is their intensity distribution at the cross section showing as the complex variables Laguerre-Gaussian functions in the space domain, are modulated by the Airy pulses in the time domain. The method of separating variables is a mathematical method to obtain this solution. According to solving the (1+3)D Pxi-axis equations, the analytical solution of the space-time complex variables Airy-Laguerre-Gaussian wave packets in free space has been accessed. When the initial incident power of the space-time complex variables Airy-Laguerre-Gaussian wave packets is not equal to the critical power, the wave packets’ width will fluctuate periodically. Poynting vector reveals the essence of this phenomenon.

Citation Download Citation

Xiaping Zhang "Propagation characteristics of the space-time complex variables Airy-Laguerre-Gaussian wave packets", Proc. SPIE 12473, Second International Conference on Optics and Communication Technology (ICOCT 2022), 124730B (18 November 2022); https://doi.org/10.1117/12.2653682

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