Efficient multi-fidelity design optimization of microwave filters using adjoint sensitivity

Abstract

A simple and robust algorithm for computationally efficient design optimization of microwave filters is presented. Our approach exploits a trust-region (TR)-based algorithm that utilizes linear approximation of the filter response obtained using adjoint sensitivity. The algorithm is sequentially executed on a family of electromagnetic (EM)-simulated models of different fidelities, starting from a coarse-discretization one, and ending at the original, high-fidelity filter model to be optimized. Switching between the models is determined using suitably defined convergence criteria. This arrangement allows for substantial cost reduction of the initial stages of the optimization process without compromising the accuracy and resolution of the final design. The performance of our technique is illustrated through the design of a fifth-order waveguide filter and a coupled iris waveguide filter. We also demonstrate that the multi-fidelity approach allows for considerable computational savings compared to TR-based optimization of the high-fidelity EM model (also utilizing adjoint sensitivity). © 2014 Wiley Periodicals, Inc. Int J RF and Microwave CAE 25:178–183, 2015.