Schrödinger equation description for cross-phase modulation in grating structures.
Schrödinger equation description for cross-phase modulation in grating structures.
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光栅结构中交叉相位调制的薛定谔方程描述。
DOI：
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发表时间：
1994
期刊：
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通讯作者：
Martijn de Sterke C
中科院分区：
文献类型：
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作者：
Steel;Martijn de Sterke C
我们给出了一个涉及高度色散介质中的交叉相位调制系统的简单近似描述。这种系统中的光脉冲具有较大的频移和相应的群速度色散变化，因此简单的非线性薛定谔方程描述是不成立的，本文在扩展了标准薛定谔描述的基于矩的模型中考虑了频移，并将该模型应用于非线性布拉格光栅中光脉冲压缩的特殊情况。对该模型进行了全面的数值模拟试验。最后，我们考虑了观察脉冲压缩效应所涉及的一些困难。
We present a simple approximate description of systems involving cross-phase modulation in highly dispersive media. Optical pulses in such systems suffer large frequency shifts and correspondingly experience large variations in group velocity dispersion so that a simple nonlinear Schr"odinger equation description is not valid. We take the frequency shift into account in a moments based model that extends the standard Schr"odinger description, and apply the model to the particular case of optical pulse compression in nonlinear Bragg gratings. The model is tested against full numerical simulations. Finally, we consider some of the difficulties involved in observing the pulse-compression effect.