A 3D Nonlinear Maxwell's Equations Solver Based On A Hybrid Numerical Method
This work addresses the computational challenge of simulating nonlinear electromagnetic scattering for researchers in computational electromagnetics.
The paper proposes a hybrid numerical method combining boundary integral representation with a domain-based method to solve 3D Maxwell's equations in nonlinear/inhomogeneous media, reducing computational cost by eliminating grids outside scattering objects.
In this paper we explore the possibility for solving the 3D Maxwell's equations in the presence of nonlinear and/or inhomogeneous material response. We propose using a hybrid approach which combines a bound- ary integral representation with a domain-based method. This hybrid approach has previously been successfully applied to 1D linear and non- linear transient wave scattering problems. The basic idea of the approach is to propagate the Maxwell's equations inside the scattering objects for- ward in time by using a domain-based method, while a boundary integral representation of the electromagnetic field is used to supply the domain- based method with the required surface values. Thus no grids outside the scattering objects are needed and this greatly reduces the computational cost and complexity.