Surface field excitation by a magnetic point source on an impedance cylinder

An approximate uniform geometrical theory of diffraction (UTD) solution has been developed for the analysis of surface magnetic fields excited by a magnetic point source on an impedance cylinder. This solution is useful not only for the analysis of mutual coupling on an impedance cylinder with a uniform surface impedance or with a surface impedance patch, but also for the modeling of a thin material coating on a PEC circular cylinder. Analytically, the proposed UTD solution reduces to that of a PEC circular cylinder when the surface impedance goes to zero. This approximate solution compares well also with the eigenfunction solution, numerically. These comparisons confirm the validity of the solution.