Publisher's Synopsis
Excerpt from Step Discontinuities in Waveguides
Problems involving discontinuities in waveguides are of great practical importance and a considerable amount of attention has been devoted to them in recent years. The two types of discontinuities that have been most extensive ly treated for a rectangular guide are the bifurcation of the guide by a semi infinite plane and a step discontinuity in the guide cross-section. The problem of the bifurcation may be solved in terms of known functions by applying the well-known wiener-hopf technique for solving integral equations. The methods for solvlng the problem of a step discontinuity which have appeared in the literature are, however, in no way based on the wiener-hopf approach. Two distinct methods have been employed; the first consists of expanding the field components on either side of the discontinuity in terms of the appropriate eigenfunctions for the region considered, and then matching the components across the plane of discontinuity. The second method used is the equivalent static approach as described in the wave Guide Handbook[lj. Since there is obviously a physical relationship between these two problems it is desirable to solve them both by the same method in order that the solution should dis play clearly the relationship between them, and this is the object of the pre sent work.
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