Multi-modes of four-waves mixing at non-collinear interaction of laser beams in medium with cubic nonlinear response

机译：立方非线性响应介质中激光非共线作用下的四波混合多模

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We develop an explicit solution of problem describing collinear four-waves mixing in medium with cubic nonlinear response. This solution is carried out for set of Schrodinger equations using plane wave approximation for the case of phase matching for interacting waves. This solution allows to do full analysis of four-wave interaction modes in dependence of the problem parameters. We have shown, in particular, an existence of bistable mode for energy conversion from pump waves to signal wave under certain conditions. In general case, there are greater than 10 various modes of four-wave interaction. Knowledge about these modes is very important for spectroscopic experiment results understanding using four-waves mixing because its result depends on them in strong way. Analytical solutions and derived modes can explain complicated regime of four-wave interaction which may be appeared at high intensity of interacting waves.

机译：我们提出了一个描述具有三次非线性响应的介质中共线四波混合问题的显式解决方案。对于相互作用波的相位匹配，使用平面波逼近法对一组Schrodinger方程进行求解。该解决方案允许根据问题参数对四波相互作用模式进行全面分析。我们特别显示了在某些条件下存在双稳态模式，用于将能量从泵浦波转换为信号波。通常情况下，四波相互作用的模式超过10种。有关这些模式的知识对于了解使用四波混频的光谱实验结果非常重要，因为其结果在很大程度上取决于它们。解析解和导出的模式可以解释四波相互作用的复杂机制，这种相互作用机制可能会在高强度的相互作用波中出现。

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《Nonlinear Optics and Its Applications VIII; and Quantum Optics III》|2014年|913619.1-913619.14|共14页
会议地点 Brussels(BE)
作者
Vyacheslav A. Trofimov; Igor E. Kuchik; Nikita V. Levitskiy;
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作者单位

Lomonosov Moscow State University, Moscow 119992, Russia;

Lomonosov Moscow State University, Moscow 119992, Russia;

Lomonosov Moscow State University, Moscow 119992, Russia;

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原文格式 PDF
正文语种 eng
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关键词
femtosecond laser pulse; four- wave mixing; collinear interaction of waves; cubic nonlinear response; analytical solution; mode of energy conversion; optical bistability;

机译：飞秒激光脉冲；四波混频；波的共线相互作用；三次非线性响应分析溶液；能量转换方式光学双稳;

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1. Nonlinear propagation of a mixture of TEM00 and TEM01 modes of a laser beam in a cubic quintic medium [J] . Konar S, Jana S Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2005,第2期

机译：立方五次介质中激光束的TEM00和TEM01模式的混合物的非线性传播
2. Generation of breathing solitons in the propagation and interactions of Airy-Gaussian beams in a cubic-quintic nonlinear medium [J] . Weijun Chen, Ying Ju, Chunyang Liu, 中国物理：英文版 . 2018,第011期

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3. Propagation of a mixture of modes of a laser beam in a medium with saturable nonlinearity [J] . Shwetanshumala, Jana S, Konar S Journal of Electromagnetic Waves and Applications . 2006,第1期

机译：具有饱和非线性的介质中激光束模混合的传播
4. Explicit solution of FWM problem under the interaction of copropagating laser beams in medium with cubic nonlinear response [C] . Vyacheslav A. Trofimov, Igor E. Kuchik, Leonid D. Mikheev, Nonlinear Optics and Its Applications IV . 2016

机译：立方非线性响应的介质中激光传播相互作用下FWM问题的显式解。
5. The third-order nonlinear process in femtosecond time-resolved four-wave mixing and femtosecond lasers. [D] . Wu, Song. 1993

机译：飞秒时间分辨四波混频和飞秒激光器中的三阶非线性过程。
6. Deep-ultraviolet second-harmonic generation by combined degenerate four-wave mixing and surface nonlinearity polarization in photonic crystal fiber [O] . Jinhui Yuan, Zhe Kang, Feng Li, -1

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7. Paired atom laser beams created via four-wave mixing [O] . Dall, R. G., Byron, L. J., Truscott, A. G., 2008

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8. Degenerate Four-Wave Mixing of CW HF Laser Beams in HF Absorption Cell. [R] . Mirels, H., Coffer, J. G., Bernard, J. M., 1990

机译：HF HF激光束在HF吸收池中的简并四波混频。

Multi-modes of four-waves mixing at non-collinear interaction of laser beams in medium with cubic nonlinear response

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