Finite element method resolution of non-linear Helmholtz equation

被引：6
|
作者：
Selleri, S [1 ]
Vincetti, L [1 ]
Cucinotta, A [1 ]
机构：
[1] Univ Parma, Dipartimento Ingn Informaz, I-43100 Parma, Italy
来源：
OPTICAL AND QUANTUM ELECTRONICS | 1998年 / 30卷 / 5-6期
关键词：
D O I：
10.1023/A:1006953912607
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A non-paraxial beam propagation method for non-linear media is presented. It directly implements the non-linear Helmholtz equation without introducing the slowing varying envelope approximation. The finite element method has been used to describe the field and the medium characteristics on the transverse cross-section as well as along the longitudinal direction. The finite element capabilities as, for example, the non-uniform mesh distribution, the use of adaptive mesh techniques and the high sparsity of the system matrices, allow one to obtain a fast, versatile and accurate tool for beam propagation analysis. Examples of spatial soliton evolution describe phenomena not predicted in the frame of the slowing varying envelope approximation.
引用
收藏
页码：457 / 465
页数：9
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