Generalized Wiener-Hopf technique for wedge shaped regions of arbitrary angles

Abstract

A new technique for solving diffraction problems in angular shaped regions is presented. This technique applies both for impenetrable wedges and penetrable wedges. The functional equations obtained through this technique present different solution difficulties according to the geometry of the problem. For example, for half-planes and impenetrable or isorefractive right wedges we deal with the classic matrix W-H equations. In dealing with arbitrary media or with wedges that are not right angles, we have to introduce new functional equations, which we call generalized Wiener-Hopf equations. This paper describes some of the properties of the generalized Wiener-Hopf equations.