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Calculation of ultrashort pulse propagation based on rational approximations for medium dispersion

机译：基于有理色散的超短脉冲传播计算

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摘要

Ultrashort optical pulses contain only a few optical cycles and exhibit broad spectra. Their carrier frequency is therefore not well defined and their description in terms of the standard slowly varying envelope approximation becomes questionable. Existing modeling approaches can be divided in two classes, namely generalized envelope equations, that stem from the nonlinear Schrodinger equation, and non-envelope equations which treat the field directly. Based on fundamental physical rules we will present an approach that effectively interpolates between these classes and provides a suitable setting for accurate and highly efficient numerical treatment of pulse propagation along nonlinear and dispersive optical media.
机译：超短光脉冲仅包含几个光循环，并显示宽光谱。因此，它们的载波频率没有很好地定义，并且它们关于标准缓慢变化的包络近似的描述变得令人怀疑。现有的建模方法可以分为两类，一类是基于非线性Schrodinger方程的广义包络方程，另一类是直接处理磁场的非包络方程。基于基本物理规则，我们将提供一种在这些类别之间进行有效插值的方法，并为对沿非线性和色散光学介质的脉冲传播进行准确而高效的数值处理提供适当的设置。

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