Speaker
Dale Connor, Applied Mathematics
Abstract:
We will describe how the discontinuous Galerkin method can be applied to Maxwell's equations to simulate electromagnetic problems in complex domains with non-uniform material properties. We will demonstrate that the method is an attractive approach for problems where the wavelength is comparable with the size of the reflecting surface and where simpler approaches like geometrical and physical optics are not easily applicable. The DG is capable of accurately modelling features like boundary conditions, non-uniform meshes, non linearities, focal points and non-sinusoidal sources. We will present examples of simulations of wave focusing and caustic formation with application to coupled antennas. We will demonstrate application of the DGM to modeling of nontrivial lenses and interfaces with the aim to simulate integrated lens antennas.