二次介质中耦合场和单场非线性演化方程的推导
Derivation of Nonlinear Evolution Equations for Coupled and Single Fields in a Quadratic Medium
摘要：
本文采用与慢演化波近似一致的近似方法，导出了超短脉冲在二次介质中简并三波混频过程中的耦合传输方程。Brabec和F. Krausz，Phys. Rev. Lett. 78，3282（1997）]。由此我们导出了基本场的近似单场方程。本文扩展了同一作者提交给《物理评论快报》的工作中使用的数学。
英文摘要：
We derive coupled propagation equations for ultrashort pulses in a degenerate three-wave mixing process in quadratic media, using approximations consistent with the slowly evolving wave approximation [T. Brabec and F. Krausz, Phys. Rev. Lett. 78, 3282 (1997)]. From these we derive an approximate single-field equation for the fundamental field. This document expands upon mathematics used for work submitted by the same authors to Physical Review Letters.
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