With the continuous development of global, mobile and cellular communications, tremendous efforts on the miniaturization of microwave resonators, filters and multiplexers have been made in the past decades. High permittivity dielectric materials played the key roles in the efforts, due to its low-loss, high temperature stability and the compatibility with MICs and MMICs. This dissertation is devoted to analyzing a variety of components with homogeneously or inhomogeneously-filled dielectric materials.;Rigorous numerical methods are employed to analyze the proposed configurations. The mode charts, field distributions, generalized scattering (transmission) parameters and couplings are investigated. Cylindrical dielectric resonator loaded rectangular cavities are accurately analyzed by overcoming the difficulty of matching the cylindrical and rectangular regions. An novel and evolutional no-tuning dual mode filter design is presented with respect to the dual mode coupling mechanism for eliminating all the tuning and coupling screws. Waveguide manifold multiplexer modeling is developed to provide optimized design. The possibility of expanding channels in waveguide manifold multiplexers is explored.
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