On the limits of validity of nonparaxial propagation equations in Kerr media

被引：13
作者：
Ciattoni, Alessandro [1 ]
Crosignani, Bruno
Di Porto, Paolo
Scheuer, Jacob
Yariv, Amnon
机构：
[1] CNR, CASTI Reg Lab, I-67010 Coppito, Italy
[2] Univ Aquila, Dipartimento Fis, I-67010 Coppito, Italy
[3] Ist Nazl Fis Mat, UdR Roma La Sapienza, I-00185 Rome, Italy
[4] CALTECH, Pasadena, CA 91125 USA
来源：
OPTICS EXPRESS | 2006年 / 14卷 / 12期
关键词：
D O I：
10.1364/OE.14.005517
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Recent generalizations of the standard nonlinear Schroedinger equation (NLSE), aimed at describing nonparaxial propagation in Kerr media are examined. An analysis of their limitations, based on available exact results for transverse electric (TE) and transverse magnetic (T M) (1+1)-D spatial solitons, is presented. Numerical stability analysis reveals that nonparaxial TM soltions are unstable to perturbations and tend to catastrophically collapse while TE solitons are stable even in the extreme nonparaxial limit. (c) 2006 Optical Society of America.
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收藏
页码：5517 / 5523
页数：7
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