Rigorous derivation of coupled mode equations for short, high-intensity grating-coupled, co-propagating pulses
Rigorous derivation of coupled mode equations for short, high-intensity grating-coupled, co-propagating pulses
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DOI：
10.1080/09500340110103878
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发表时间：
2002-07
影响因子：
1.3
通讯作者：
J. Sipe;C. M. Sterke;B. Eggleton
中科院分区：
文献类型：
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作者：
J. Sipe;C. M. Sterke;B. Eggleton
我们提出了一个严格的推导耦合模方程的光栅辅助耦合的短，共同传播的脉冲。由于这是一个共同传播的几何形状，所需的光栅周期是远远长于光的波长，通常是0.1-10毫米。这可能会超过脉冲的空间范围，并导致耦合模理论的有效性，因此不能保证通常的假设。在这里，我们严格地表明，标准的非线性耦合模方程可以用来描述这些实验，我们给出的参数表达式。
We present a rigorous derivation of coupled mode equations for the grating-assisted coupling of short, co-propagating pulses. Since this is a copropagating geometry, the required grating period is much longer than the wavelength of the light and is typically 0.1–10 mm. This can exceed the spatial extent of the pulses substantially, and the validity of the usual assumptions that lead to coupled mode theory is therefore not guaranteed. Here we show rigorously that the standard nonlinear coupled mode equations can be used to describe these experiments and we give expressions for the parameters.