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非线性光学脉冲传播模拟:从麦克斯韦方程到单向方程

Nonlinear optical pulse propagation simulation: from Maxwell's to unidirectional equations.

作者信息

Kolesik M, Moloney J V

机构信息

Optical Sciences Center, University of Arizona, Tucson, Arizona 85721, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3 Pt 2):036604. doi: 10.1103/PhysRevE.70.036604. Epub 2004 Sep 13.

DOI:10.1103/PhysRevE.70.036604
PMID:15524653
Abstract

Spatial- and time-domain versions of the unidirectional pulse propagation equation (UPPE) are derived and compared from the point of view of their practical application in simulations of nonlinear optical pulse dynamics. A modification of the UPPE suitable for ultrathin optical waveguides, such as submicron silica wires, is also presented. We show in detail how various, previously published propagation equations follow from the UPPE in a unified way that clearly elucidates their underlying approximations and areas of applicability.

摘要

从单向脉冲传播方程(UPPE)在非线性光脉冲动力学模拟中的实际应用角度出发,推导并比较了其空间域和时间域版本。还提出了一种适用于超薄光波导(如亚微米二氧化硅线)的UPPE修正形式。我们详细展示了各种先前发表的传播方程如何以统一的方式从UPPE推导得出,这清晰地阐明了它们的基本近似和适用范围。

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