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arXiv physics/0311102physics.opticsphysics.comp-ph
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聚焦光束产生三次谐波的高非线性动力学

Highly Nonlinear Dynamics of Third-Harmonic Generation by Focused Beams

Richard S. Tasgal, Marek Trippenbach, M. Matuszewski, Y. B. Band

摘要:

经历三次谐波产生(THG)的光束也会经历克尔效应。由于克尔效应,光束不再具有简单的高斯形状,而是呈现出非线性动力学。这些非线性动力学对通过聚焦然后发散光束积累的THG有影响。我们制定了一个自洽的和完整的非线性薛定谔方程组的一对耦合光束-一个基本的和它的三次谐波。数值模拟表明,克尔非线性允许一些三次谐波传播到远场,即使为零或负相位失配。这是因为非线性动力学破坏了光束关于焦平面的反射对称性,因此通过将一些干涉从相消变为相长来增加远场THG。三倍频转换效率作为几个光束参数的函数计算。

英文摘要:

Beams that experience third-harmonic generation (THG) also experience Kerr effects. With Kerr effects, beams do not take simple Gaussian shapes, but exhibit nonlinear dynamics. These nonlinear dynamics have an effect on the THG accumulated by focusing and then diverging beams. We formulate a self-consistent and complete set of nonlinear Schroedinger equations for a pair of coupled beams -- a fundamental and its third-harmonic. Numerical simulations show that the Kerr nonlinearities allow some third-harmonic to propagate to the far-field even for zero or negative phase-mismatch. This is because the nonlinear dynamics break the beams' reflection symmetry about the focal plane and therefore increases far-field THG by changing some of the interference from destructive to constructive. THG conversion efficiencies are computed as functions of several beam parameters.

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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