Frequency and Geometry Fullwave Parameterized Models of Microwave Circuits

This paper describes a new method combining the pole expansion and the Taylor polynomials that is used for the frequency and geometry parameterization of microwave circuit for a rigorous fullwave 3D analysis. The method is started from the point of view that only a few number of poles and modes suffices to accurately determine the scattering parameters of any microwave structure. Hence, to determine the scattering parameters as the circuit dimensions change, one needs to establish a mapping describing the modes variation while the structure geometry is being changed. The computation of the poles and modes derivatives is used to establish a Taylor polynomial mapping describing their variation Therefore, neither more EM complex simulation nor additional meshing schemes are needed to evaluate the response of the structure when its dimensions are tuned.