Optical pulse propagation with minimal approximations
Optical pulse propagation with minimal approximations
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DOI：
10.1103/physreva.81.013819
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发表时间：
2008-10
影响因子：
2.9
通讯作者：
P. Kinsler
中科院分区：
文献类型：
--
作者：
P. Kinsler
需要光脉冲的传播方程来帮助描述更极端情况下的应用-包括具有线性和非线性磁响应的超材料中的应用。在这里，我将展示如何使用最小的近似和一个简单的“因式分解”数学方案来推导一个一阶传播方程。该方法产生精确的耦合双向方程，之后很明显，该描述可以减少到一个单一的单向的一阶波动方程通过一个简单的“慢演化”近似，其中光脉冲的变化很小的一个波长的距离。它还允许一个精确的双向理论与近似的单向理论的直接长期到长期的比较。
Propagation equations for optical pulses are needed to assist in describing applications in ever more extreme situations--including those in metamaterials with linear and nonlinear magnetic responses. Here I show how to derive a single first-order propagation equation using a minimum of approximations and a straightforward 'factorization' mathematical scheme. The approach generates exact coupled bidirectional equations, after which it is clear that the description can be reduced to a single unidirectional first-order wave equation by means of a simple 'slow evolution' approximation, where the optical pulse changes little over the distance of one wavelength. It also allows a direct term-to-term comparison of an exact bidirectional theory with the approximate unidirectional theory.