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26 January 2005 Variational approach to nonparaxial self-focusing of high-power laser beams in nonlinear media
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Abstract
We apply the variational approach to solve the nonparaxial nonlinear Schrodinger equation to disclose the nonparaxial propagation properties of a Gaussian beam. A system of differential equations for the evolution of the parameters of Gaussian beam is obtained. The obtained analytical results clearly show the nonparaxial propagation process of periodic focusing-defocusing. This process is significantly influenced by the initial power and chirp of the beam. A positive chirp retards the first self-focus, while a negative chirp brings forward the first self-focus. Both positive and negative chirps increase the subsequent focusing-defocusing cycles.
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Jing Jin, Shuangchun Wen, Wangyang Cai, Xiquan Fu, and Dianyuan Fan "Variational approach to nonparaxial self-focusing of high-power laser beams in nonlinear media", Proc. SPIE 5627, High-Power Lasers and Applications III, (26 January 2005); https://doi.org/10.1117/12.569232
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