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Transmission characteristics of single and double trapezoidal-ridge waveguides, are analysed by the finite-element method. Design data of cutoff wavelength and single-mode bandwidth for different ridge dimensions are presented in tabulated forms. Field patterns of dominant mode and the first higher-order TE mode in both waveguides are also illustrated. Numerical results provide an extension to the existing design data of rectangular-ridge waveguides and are considered to be helpful in practical applications.