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An integrodifferential equation for the electric field in the aperture of a parallel-plate waveguide-fed slot antenna is numerically solved using Galerkin's method, with a basis of edge-condition-weighted Chebyshev polynomials, and pulse expansion with point matching. Efficient algorithms are obtained for the elements of the reduced matrix equations for both moment methods. The numerical convergence of the techniques is demonstrated by the resultant aperture field distributions and input reflection coefficients for the case of dominant (transverse electromagnetic) mode excitation.>
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R.W. Scharstein (1989) studied this question.
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