SIMPLIFIED CONDUCTING PLANE SECTOR DIFFRACTION THEORY AND EM FIELDS SINGULARITIES AT SHARP EDGES OF PRINTED-CIRCUITS

The problem of diffraction by perfectly conducting plane complementary sectors assumes canonical form when conical geometry is used. This al lows us to express the diffracted fields like spectra of E and H -mode s and to unify the two problems simply invoking complementary limit co nditions in the Sturm-Liouville problems for the pertaining Debye pote ntials. In particular, from the unification properties relative to the fundamental E and H modes it follows that the electric/magnetic singu lar behaviours by the tip conductor are identical to the magnetic/elec tric singular behaviours by the complementary tip conductor. For utili ty in printed circuit analysis, the former singular behaviours are for mulated as simple weighting functions and the problem of EM singularit ies excitation along the conductor edge of any printed circuit is disc ussed.