Progress In Electromagnetics Research M
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By H. Gomez-Sousa, J. A. Martinez-Lorenzo, and O. Rubiños-López

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This paper presents a new method for computing fields diffracted by a wedge for the MECA formulation, which is valid not only for perfect electric conductors but also for lossy penetrable dielectrics. The method is based on the computation of a wedge correction matrix, which establishes a mapping function between fields incident at and diffracted by the wedge. The MECA method is based, in general, upon the oblique incidence of a plane wave at the interface between free space and lossy dielectric media. MECA reduces to the well-studied physical optics (PO) formulation in case of PEC (perfect electric conductor) scatterers. In this work, we consider a scenario involving diffraction caused by a plane wavefront incident on a wedge with flat faces and straight edge. The version of the stationary phase method for three-dimensional equivalent source distributions is employed to calculate the asymptotic contribution of the integration boundary along the edge of the diffraction wedge. This contribution of the critical boundary points is compared to the GTD (geometrical theory of diffraction) diffracted field in order to obtain the correction matrix by which the incident electric field vector is multiplied in MECA. As required to accomplish this comparison, the three-dimensional incident electric field is previously resolved into an edge-fixed coordinate system. Good agreement is demonstrated between full-wave method-of-moments (MoM) results and the results obtained by modifying MECA with our diffraction correction technique. is demonstrated between full-wave method-of-moments (MoM) results and the results obtained by modifying MECA with our diffraction correction technique.

H. Gomez-Sousa, J. A. Martinez-Lorenzo, and O. Rubiños-López, "Three-Dimensional Wedge Diffraction Correction Deduced by the Stationary Phase Method on the Modified Equivalent Current Approximation (Meca)," Progress In Electromagnetics Research M, Vol. 23, 207-227, 2012.

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