Using the FEniCS Package for FEM Solutions in Electromagnetics

FEniCS is a set of software tools that allows for rapid implementation of expressions associated with finite-element analysis. The main interface for FEniCS is DOLFIN, which provides both C++ and Python front ends to the software tools. The use of the Python front end, PyDOLFIN, to model various electromagnetic (EM) problems is investigated. Some elementary problems implemented in FEniCS include the scalar potential solution to closed- and open-boundary electrostatic problems, as well as the cutoff and dispersion analysis of a hollow rectangular waveguide. More advanced topics considered include the implementation of radiation from an infinitesimal dipole, and near-field-to-far-field transformations.