On entire-domain basis functions with square-root edge singularity (EM scattering)

The surface current density generated on thin conducting scatterers or radiations has a well-known singular edge behaviour. Using an explicit transformation between certain regular and singular basis functions, the author compares the convergences of the current expansions of both sets. Also studied are the complementary expansions of the scattered field which result from integrating the current. The discussion is extended to periodic strip structures where the phenomenon of relative convergence is demonstrated.<>