ON ANALYTIC CONTINUATION OF A CLOSED REGION SOLUTION TO AN OPEN REGION.
Technical rept. no. 2,
ILLINOIS UNIV URBANA ENGINEERING EXPERIMENT STATION
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The purpose of this paper is to investigate the question of whether or not it is possible to derive the solution of an open region problem as a limiting case of a closed region boundary value problem. The particular geometry is that of a bifurcated waveguide which becomes equivalent to a semi-infinite parallel plate waveguide when the top plate recedes to infinity. It will be shown that the expression for the reflection coefficient in the parallel plane bifurcated waveguide may be analytically continued to yield the reflection coefficient in the semi-infinite waveguide radiating into space. The latter problem has been solved by Vainshtein, Marcuvitz, and Noble. The technique described here may prove useful for solving other open region problems such as the launching of surface waves by a semi-infinite waveguide for which the application of Wiener-Hopf Technique is fairly involved. Author