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arXiv 1507.04524physics.optics
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超短脉冲传输中衍射与非线性效应的相互作用

Interplay of diffraction and nonlinear effects in propagation of ultrashort pulses

C. L. Korpa, Gy. Toth, J. Hebling

摘要:

研究了超短光脉冲传输过程中衍射效应和非线性效应的相互影响。通过保持横向导数项与剩余非线性贡献分开,我们将因子分解方法应用于手头的问题,推导出适用于弱色散的单向传播方程,并将其简化为傍轴射线情况下的缓慢演化波近似。数值模拟结果的比较表明,当自聚焦起重要作用时,两个方程的数值模拟结果有明显的差异。我们特别关注考虑衍射以及克尔型和二阶非线性的超短太赫兹脉冲的传播建模。比较测量和模拟的波形,我们推导出锂的非线性折射率的值在太赫兹区域是三个数量级大于在可见光。

英文摘要:

We investigate the interplay of diffraction and nonlinear effects during propagation of very short light pulses. Adapting the factorization approach to the problem at hand by keeping the transverse-derivative terms apart from the residual nonlinear contributions we derive an unidirectional propagation equation valid for weak dispersion and reducing to the slowly-evolving-wave-approximation for the case of paraxial rays. Comparison of numerical simulation results for the two equations shows pronounced differences when self-focusing plays important role. We devote special attention to modelling propagation of ultrashort terahertz pulses taking into account diffraction as well as Kerr type and second order nonlinearities. Comparing measured and simulated wave forms we deduce the value of the nonlinear refractive index of lithium niobate in the terahertz region to be three orders of magnitude larger than in the visible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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