An Efficient Vector Finite Element Method for Nonlinear Electromagnetic Modeling

Journal Article · Tue Jun 27 00:00:00 EDT 2006 · Journal of Computational Physics

OSTI ID:923114

Fisher, A C; White, D A; Rodrigue, G H

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.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 923114
• Report Number(s): UCRL-JRNL-222488; JCTPAH; TRN: US200804%%945
• Journal Information: Journal of Computational Physics, Vol. 225, Issue 2; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
71 CLASSICAL AND QUANTUMM MECHANICS
GENERAL PHYSICS
FINITE ELEMENT METHOD
POLARIZATION
SIMULATION
VECTORS
WAVEGUIDES