Title :
Diffraction at a Wedge with One Face Electric and the Other Face Magnetic: Exact and Asymptotic Solutions of the Wave and Parabolic Equations
Author_Institution :
EM Consulting, Los Angeles, CA, USA
Abstract :
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.
Keywords :
Helmholtz equations; electromagnetic wave diffraction; parabolic equations; Helmholtz elliptic equation; Leontovich parabolic equation; electric conductivity; electromagnetic properties; high-frequency approximation; magnetic conductivity; wedge diffraction; Boundary conditions; Diffraction; Elliptic design; Magnetic separation; Magnetoacoustic effects; Mathematical model; Wedge diffraction; Acoustic diffraction; asymptotic approximation; diffraction; electromagnetic diffraction; elliptic equation; hard surface; impedance wedge; parabolic equation; physical theory of diffraction; soft surface; transverse wave diffusion; wave equation; wedge diffraction;
Journal_Title :
Antennas and Propagation Magazine, IEEE
DOI :
10.1109/MAP.2013.6735475
