An efficient vector finite element method for nonlinear electromagnetic modeling

JOURNAL OF COMPUTATIONAL PHYSICS

卷:225

Article

Fisher, A.¹  White, D.²  Rodrigue, G.¹ 

[1] Univ Calif Davis, Davis, CA 95616 USA

[2] Lawrence Livermore Natl Lab, Livermore, CA USA

关键词: Maxwell's equations;    finite element method;    simulations;    nonlinear optics;    photonics;   

DOI  :  10.1016/j.jcp.2007.01.031

来源: Elsevier

【 摘 要 】

We have developed a mixed Vector Finite Element Method (VFEM) for Maxwell's equations with a nonlinear polarization term. The method allows for discretization of complicated geometries with arbitrary order representations of the B and E fields. In this paper we will describe the method and a series of optimizations that significantly reduce the computational cost. Additionally, a series of test simulations will be presented to validate the method. Finally, a nonlinear waveguide mode mixing example is presented and discussed. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free