Abstract
A new set of edge-conditioned basis functions is used to determine the modal characteristics of a large variety of nonstandard waveguide structures. Since the electromagnetic field includes the proper edge conditions at metallic corners and since the new basis functions are readily Fourier transformed, a considerable reduction in computational effort with respect to standard modal field-matching techniques is observed. Similar to procedures involving other known sets of applicable basis functions, the analysis achieves a higher reliability level, as it completely avoids relative convergence phenomena. The method is demonstrated at the examples of several waveguide structures, such as the L-shape, T-shape, and cross-iris-shape waveguides; the rectangular coaxial waveguide; and the ridged circular waveguide. Results for the cut-off wave numbers of TE and TM modes are shown to be in excellent agreement with those from standard modal field-matching techniques and previously published data. © 1998 John Wiley & Sons, Inc. Int J RF and Microwave CAE 8: 215–225, 1998.
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