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Title: An Efficient Vector Finite Element Method for Nonlinear Electromagnetic Modeling

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.
Authors:
; ;
Publication Date:
OSTI Identifier:
923114
Report Number(s):
UCRL-JRNL-222488
Journal ID: ISSN 0021-9991; JCTPAH; TRN: US200804%%945
DOE Contract Number:
W-7405-ENG-48
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics, vol. 225, no. 2, August 10, 2007, pp. 1331-1346; Journal Volume: 225; Journal Issue: 2
Research Org:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 71 CLASSICAL AND QUANTUMM MECHANICS, GENERAL PHYSICS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; FINITE ELEMENT METHOD; POLARIZATION; SIMULATION; VECTORS; WAVEGUIDES