An efficient vector finite element method for nonlinear electromagnetic modeling
We have developed a mixed Vector Finite Element Method (VFEM) for Maxwells 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.
finite element method maxwells equations simulations nonlinear optics photonics