High Order Nonlinear Phase Shift As A Result of Cascaded Third Order Processes

S. Saltiel, S. Tanev, A. Boardman
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Abstract

In centrosymmetric media, in addition to the thirdand fifth-order nonlinearity, a cascaded x :x (3) nonlinearity contributes to the nonlinear refraction. The described effect takes place when the input beam is involved in nearly phase-matched third-harmonic generation. The nonlinear phase shift produced by this new cascaded nonlinearity is comparable to the nonlinear phase shift caused by the direct third-order nonlinearity x . A new analytical approach, low depletion approximation, was developed and used to study the cascaded third-order processes in the conditions of not very high third-harmonic conversion coefficients. At higher conversion coefficients the effect was studied by numerical simulations. The presence of a seeded thirdharmonic wave gives another possibility of controlling the additional phase shift of the fundamental wave. The conditions for stationary copropagation of the fundamental and the generated wave are presented. @S1050-2947 ~98!01004-X#
级联三阶过程的高阶非线性相移
在中心对称介质中,除了三阶和五阶非线性外,级联的x:x(3)非线性对非线性折射也有贡献。当输入光束参与近相位匹配的三次谐波产生时,所描述的效应就会发生。这种新的级联非线性产生的非线性相移与直接三阶非线性x引起的非线性相移相当。提出了一种新的分析方法——低损耗近似法,并将其用于研究三次谐波转换系数不是很高的情况下的级联三阶过程。在较高的转换系数下,通过数值模拟研究了这种效应。种子三谐波的存在提供了控制基波附加相移的另一种可能性。给出了基波与产生波平稳共传播的条件。@s1050——2947 ~ 98 !01004 - x #
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