METHOD OF FACTORIZATION AND THE WIENER‐HOPF TECHNIQUE FOR ANALYZING TWO‐PART EM WAVE PROBLEMS

The factorization procedure to solve two‐part boundary value problems is based on exploiting the behavior of certain functions in overlapping analytic domains of an appropriate complex plane; these functions, whose factorization is required, are characteristic of any given two‐part problem whose solution is desired. It is noted that all three methods alluded to require the factorization process as part of the solution; this process is often referred to as the Wiener–Hopf factorization. These methods include: the Wiener–Hopf procedure, the dual integral equation approach, and the Jones method. The factorization‐based approach is said to fall broadly within the class of function theoretic methods. Jones's method is illustrated to analyze the radiation from an open‐ended semiinfinite parallel plate waveguide.