Analytical modelling of 3D-dielectric corners for E.M. simulators

In this work we present a novel model of the dielectric cubic corner, that is suitable for inclusion in a standard E.M. simulator. The model starts from a consideration of the equivalent current densities on the cube facets. It proceeds by employing a classical multipole expansion of the Green´s function at the corner and introduces the novel principle of simultaneous transverse resonance (S.T.R.) to determine the order of singularity. The theory is validated by the use of a standard FEM-based simulator, yielding information about the near field and the radiation pattern of the corner.