Pollution free discretization of Maxwell's equations in terms of potentials

摘要

A 2D discretization of Maxwell's equations is studied in terms of the electromagnetic potentials using linear and cubic finite elements. The formulation is first analyzed with respect to the discrete dispersion properties to show that it is pollution free. It is then further applied to a simple cylindrical waveguide problem, showing good convergence to the analytical eigenfrequencies. (author) 6 figs., 13 refs. (Atomindex citation 25:032126)