.png){kind=icon}
返回
Robust iterative method for nonlinear Helmholtz equation
.png){kind=icon}
PRE
AI
DOI：10.1016/j.jcp.2017.04.046.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
A new iterative method is developed for solving the two-dimensional nonlinear Helmholtz equation which governs polarized light in media with the optical Kerr nonlinearity. In the strongly nonlinear regime, the nonlinear Helmholtz equation could have multiple solutions related to phenomena such as optical bistability and symmetry breaking. The new method exhibits a much more robust convergence behavior than existing iterative methods, such as frozen-nonlinearity iteration, Newton's method and damped Newton's method, and it can be used to find solutions when good initial guesses are unavailable. Numerical results are presented for the scattering of light by a nonlinear circular cylinder based on the exact nonlocal boundary condition and a pseudospectral method in the polar coordinate system. (C) 2017 Elsevier Inc. All rights reserved.
Keyword:
Helmholtz equation
Wave propagation
Kerr nonlinearity
Iterative method
Optical bistability
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
机构
引用论文
Symmetry breaking for transmission in a photonic waveguide coupled with two off-channel nonlinear defects.png)
PHYSICAL REVIEW B
PHYSICAL REVIEW BIF3.7
PREAI
分享收藏Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavityPHYSICAL REVIEW B
PHYSICAL REVIEW BIF3.7
PREAI
分享收藏Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavitiesPHYSICAL REVIEW B
PHYSICAL REVIEW BIF3.7
PREAI
分享收藏
查看更多内容