H-field and J-current singularities at sharpedges in printed circuits

The magnetic field and related current density behavior on the surface of printed conductors with a polygonal contour used in MIC (microwave integrated circuit) components and antennas are investigated. From the rigorous E solution for the plane sector perfect conductor, the H singular solution is determined. The authors formulate a convenient singularity function that just represents the boundary conditions and the singularity distributed along the conductor edge. The singularity function is explicitly reported for the commonly encountered 90° and 270° plane sectors and 90° bitriangular antenna, and its systematic generalization is indicated for sectors of arbitrary aperture and composite configurations and polygonal path