EM plane wave diffraction by a a planar junction of two thin material half-planes-oblique incidence

A uniform geometrical theory of diffraction (UTD) solution is developed for analyzing the high-frequency diffraction of an obliquely incident plane wave by a two-part, thin, planar, transparent material slab. The solution is obtained by appropriately combining two solutions for the two related configurations involving perfectly conducting electric and magnetic ground plane bisections of the original slab. The analysis is based on the Wiener-Hopf technique, and each of the grounded material half-planes is assumed to be electrically thin so that it can be modeled by a generalized impedance boundary condition of 0(t), where t is the corresponding slab thickness. To solve the boundary value problem completely, an additional condition related to the field behavior at the junction of the two material half-planes is imposed. This junction condition is determined by matching an approximate quasi-static solution, which is developed in the proximity of the discontinuity, with the corresponding external Wiener-Hopf solution in the common region of overlap. The solution thus obtained automatically satisfies reciprocity