Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium

被引:11
作者
Matuszewski, M
Wasilewski, W
Trippenbach, M
Band, YB
机构
[1] Univ Warsaw, Inst Expt Phys, Div Opt, PL-00681 Warsaw, Poland
[2] Ben Gurion Univ Negev, Dept Chem & Electroopt, IL-84105 Beer Sheva, Israel
基金
以色列科学基金会;
关键词
D O I
10.1016/S0030-4018(03)01535-9
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive a propagation equation for the pulse envelope of an electromagnetic field in an isotropic nonlinear dispersive media. The equation is first order in the propagation coordinate. We develop expressions valid without any additional assumptions on the form of the nonlinear polarization. Specific results are given for a Kerr-type nonlinear polarization in the form of a truncated nonlinear differential polynomial. We discuss the applicability of the expansion and determine the conditions for its validity; if and only if the counter-propagating wave is negligible is the expansion valid. We take into account a vectorial character of the electromagnetic field and show that it generates corrections of the same order as the nonparaxial terms. (C) 2003 Elsevier Science B.V. All rights reserved.
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页码:337 / 351
页数:15
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