EQUIVALENT CIRCUIT PARAMETER FOR AN INHOMOGENEOUS BIFURCATED WAVEGUIDE
BROWN UNIV PROVIDENCE RI
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An approximate solution for an equivalent circuit representation of a two dimensional waveguide junction is obtained over several ranges of significant parameters. The junction is formed by a semi-infinite, dielectric filled, parallel plate guide contained symmetrically within an infinite parallel plate guide. The structure is first reduced to a half-space problem and formulated in terms of the appropriate field modes in each of the parallel plate guides forming the junction. These modes are matched at the plane of discontinuity and the resulting equations rearranged to resemble ordinary circuit equations. The circuit elements of the equivalent circuit representation are identified from the equations. The determination of the values of these elements requires the solution of an infinite set of inhomogeneous algebraic equations. Solutions are obtained by approximate methods with the aide of an IBM 7070 computer. The approximate solutions are checked by comparing the results obtained for the degenerate case, in which the dielectric vanishes, with known exact results. This check suggests that the approximate results for the case of non-vanishing dielectric should be within a few per cent of the correct values.
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