Electromagnetic Diffraction from a Right-angled Wedge with Soft Conditions on One Face

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Abstract
The diffraction of an em-plane wave from a wedge with included angle equal to ~/2 is studied in the case of oblique incidence to the edge. The wedge is characterized by a surface impedance on one face and is a perfect conductor on the other one (soft conditions). We make use of the generalized reflection method, which consists in recognizing, in the amplitude spectrum, pairs of waves which are geometrically the reflection of one another and retaining the two waves of each pair through the reflection matrix appropriate the plane considered. In this way the boundary conditions are transformed into functional difference equations, which are solved in a closed form. The exact solution for the field is given under the form of a Sommerfeld integral of simple trigonometric functions. At large distance from the wedge the non-uniform asymptotic evaluation of the Sommerfeld integral ‘blows up’ on certain critical regions (light/shade boundaries). By resorting to appropriate measures, the blow-up is avoided performing a uniform evaluation of the Somerfeld integral.

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