Diffraction at a Wedge with One Face Electric and the Other Face Magnetic: Exact and Asymptotic Solutions of the Wave and Parabolic Equations

The wedge-diffraction problem is formulated in two ways: with the Helmholtz elliptic equation and the Leontovich parabolic equation. The wedge faces have different electromagnetic properties. One face is electric (with infinite electric conductivity), while the other is magnetic (with infinite magnetic conductivity). Exact and asymptotic solutions of these two equations are derived, analyzed, and compared. It is shown that the parabolic equation provides a correct high-frequency approximation for the diffracted field.