A simplified equivalent model for microwave characteristics of porosified LTCC

High frequency materials show a manifold variety of complex permittivities for different applications. Recent research results demonstrated that porosification of Low Temperature Cofired Ceramics (LTCC) represents a new manufacturing technology, which enables local selective reduction of the relative permittivity. The permittivity gradients were measured and subsequently modeled to perform electromagnetic field simulations. The results of the generated complex CAD model can be used, to create a simplified equivalent model, which is suitable for rapid RF circuit design on porosified LTCC. Since material properties vary between circuit components on dense and porous LTCC, the permittivity-dependency on the lumped elements of the transmission line model is considered. It is shown that the introduced porosification gradient can be transferred to an equivalent circuit diagram according to the transmission line model.