In this work, studies and comparisons have been carried out on the performances presented by numerical codes for the analysis ad design of compact, light-weight, and high-performance microwave guided-wave devices that employ dielectric components. The features of original numerical codes based on boundary elements (BEM) have been compared with versatile canonical codes, such as those using finite elements (FEM). The BEM implementations have expressly been conceived for the study of a variety of electromagnetic problems in dielectric structures, and show notable advantageous properties as concerns accuracy and efficiency. The relevant basic formulation is oriented to the modal analysis of arbitrary dielectric waveguides, but it can be applied to characterize important classes of dielectric resonators as well. Extensions of the BEM approach allow us to analyze also the coupling problems for dielectric components, and in particular between dielectric guides and resonators, but in such cases the analysis with FEM is clearly more flexible. Based on the application of such BEM and FEM codes, fundamental theoretical information is then usable for the design of microwave and millimeter-wave passive devices, such as advanced solutions of filters.
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