High-frequency diffraction by a rectangular impedance cylinder on an impedance plane

The scattering of a line source field by a rectangular impedance cylinder on an infinite impedance plane is studied. The diffraction problem is formulated into a modified Wiener-Hopf equation of the third kind and then solved approximately. The solution contains two infinite sets or constants satisfying two infinite systems of linear algebraic equations. Numerical solutions of these systems are obtained for various values of the surface reactance, width and height of the rectangular cylinder, whereby the effects of these parameters on the diffraction phenomenon is studied. The results are compared with the corresponding physical optics solution and the agreement is very satisfactory.