“…transitions between dissimilar rectangular waveguides [10], [11], mode converters [12], [13], pyramidal horns [14], [15], twists, and bends [16], represent an ideal environment for the application of a HiMod approach. Classic approaches that deal with this problem are based on the Mode-Matching (MM) technique [14], or on solving the three-dimensional (3D) Maxwell equations in the taper using the Finite Element Method (FEM) [13]. On the one hand, the extremely efficient MM technique loses efficiency when dealing with smooth walled tapers due to the need of representing the domain geometry with a large number of steps, thereby increasing the computational time and introducing an undesired geometry approximation.…”