Title: Variable-fidelity simulation-driven design optimisation of microwave structures

Authors: Slawomir Koziel; Stanislav Ogurtsov; Leifur Leifsson

Addresses: Engineering Optimization and Modeling Center, School of Science and Engineering, Reykjavik University, Menntavegur 1, 101 Reykjavik, Iceland. ' Engineering Optimization and Modeling Center, School of Science and Engineering, Reykjavik University, Menntavegur 1, 101 Reykjavik, Iceland. ' Engineering Optimization and Modeling Center, School of Science and Engineering, Reykjavik University, Menntavegur 1, 101 Reykjavik, Iceland

Abstract: The main obstacle in simulation-driven design optimisation of microwave structures is the high computational cost of high-fidelity electromagnetic (EM) simulation. In this paper, we discuss two computationally efficient design optimisation methodologies that exploit variable-fidelity electromagnetic models. The first technique is based on sequential optimisation of coarse-discretisation EM models. The optimal design of the current model is used as an initial design for the finer-discretisation one. The final design is then obtained in the refinement procedure that uses a polynomial approximation of the coarse-discretisation EM data. The unavoidable misalignment between the polynomial and the high-fidelity model is corrected using space mapping. The second technique also exploits coarse-discretisation EM model, however, the discrepancy between the lowand high-fidelity models is accounted for by appropriate adjustment of the design specifications. Our techniques are straightforward to implement and computationally efficient because the optimisation burden is shifted to the coarse-discretisation models. They are also applicable to virtually any type of microwave structures which is demonstrated using several design examples, including microstrip bandpass filter, planar ultrawideband antenna and a coplanar-waveguide-to-microstrip transition.

Keywords: computer-aided design; CAD; electromagnetic simulation; adaptive design specifications; variable fidelity optimisation; surrogate modelling; microwave design; design optimisation; electromagnetic models; microwave structures.

DOI: 10.1504/IJMMNO.2012.044714

International Journal of Mathematical Modelling and Numerical Optimisation, 2012 Vol.3 No.1/2, pp.64 - 81

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 04 Jan 2012 *

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