The fields in the junctions between straight and curved rectangular waveguides are analyzed by using the method of separating variables. This method was succeeded because the authors developed the method of numerical calculation of the cylindrical functions of complex order. As a result, we numerically calculate the reflection and transmission coefficients in the junctions in various situations, and we compare these results with the results by the perturbation method and with the results by Jui-Pang et al.

Characterization of a mitered, a squarely cut, and a circular E-plane bend in rectangular waveguide is implemented by combining the port reflection coefficient method and the mode-matching method. Based on the port reflection coefficient method, the two-port waveguide bend is converted to a one-port structure comprised of cascaded waveguide step-junctions. After solving the reflection coefficient caused by these waveguide step-junctions using the mode-matching method, the desired scattering parameters of the bend are obtained readily. Convergence properties of the calculated numerical results are validated. Influences of the mitered, the squarely cut, and the circular part of the bend on the scattering parameters are investigated, and the optimal design dimensions for realizing wide-band and low return loss bends are found. Based on the optimal compensation dimension, an E-plane waveguide circular bend is fabricated and tested. The measured result agrees well with the theoretical prediction, and a full-band matched bend is practically realized.