Impact of Base Points Distributions on the Polynomial Surrogate Modeling of a Substrate Integrated Waveguide with Microstrip Transitions

Abstract

Surrogate modeling using a polynomial approximation of a coarse model of a Substrate Integrated Wave guide (SIW) with micro strip transitions is presented in this paper. The surrogate modeling process is realized considering different base points distributions, as well as different sizes for the region of interest in order to evaluate their impact on the corresponding surrogate modeling accuracy. The polynomial approximation is a low-order function of the design variables and it is used to approximate electromagnetic responses of the SIW interconnect in a region of interest around the selected central base point. The surrogate modeling process is implemented in Matlab, while the electromagnetic responses of the SIW are obtained using a low-resolution EM model implemented in CST Microwave Studio to speed up the modeling process.