Multilayered finite-difference method for steady-state thermal analysis of substrate integrated waveguide filter in LTCC

Since the miniaturization of microwave passives will increase power density, it is desirable to do a quick and accurate electro-thermal analysis for component design and optimization. In this paper, the multilayer finite-difference method is extended and migrated into the steady-state electro-thermal characterization of substrate integrated waveguide filter in LTCC, while the method was used to analyze the electromagnetic performance of packages and boards. The distributed heat source in the form of conductor and dielectric losses are derived analytically with the coupled resonator circuit model. Then, the temperature distribution is obtained efficiently by solving a linear matrix equation. Our results have been validated by the simulated ones with commercial FEM simulator.