Recent advances in rapid multiobjective optimization of expensive simulation models in microwave and antenna engineering by Pareto front exploration

Slawomir Koziel*, Adrian Bekasiewicz

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

1 Citation (Scopus)


Practical engineering design problems are inherently multiobjective, that is, require simultaneous control of several (and often conflicting) criteria. In many situations, genuine multiobjective optimization is required to acquire comprehensive information about the system of interest. The most popular solution techniques are population-based metaheuristics, however, they are not practical for handling expensive electromagnetic (EM)-simulation models in microwave and antenna engineering. A workaround is to use auxiliary response surface approximation surrogates but it is challenging for higher-dimensional problems. Recently, a deterministic approach has been proposed for expedited multiobjective design optimization of expensive models in computational EMs. The method relies on variable-fidelity EM simulations, tracking the Pareto front geometry, as well as response correction. The algorithm sequentially generates Pareto-optimal designs using a series of constrained single-objective optimizations. The previously obtained design is used as a starting point for the next iteration. In this work, we review this technique and its modification based on space mapping surrogates. We also propose new variations exploiting adjoint sensitivities, as well as response features, which can be attractive depending on availability of derivatives or the characteristics of the system responses that need to be handled. We also discuss several case studies involving various antenna and microwave components.

Original languageEnglish
Article numbere21190
JournalInternational Journal of RF and Microwave Computer-Aided Engineering
Issue number2
Publication statusPublished - 1 Feb 2018

Bibliographical note

Funding Information:
The authors would like to thank Computer Simulation Technology AG, Darmstadt, Germany, for making CST Microwave Studio available. This work is partially supported by the Icelandic Centre for Research (RANNIS) Grant 163299051 and by National Science Centre of Poland Grant 2015/17/B/ST6/01857.

Publisher Copyright:
© 2017 Wiley Periodicals, Inc.

Other keywords

  • computational electromagnetics
  • computer-aided design
  • electromagnetic-simulation models
  • multiobjective optimization
  • response features
  • simulation-driven design
  • space mapping
  • surrogate modeling


Dive into the research topics of 'Recent advances in rapid multiobjective optimization of expensive simulation models in microwave and antenna engineering by Pareto front exploration'. Together they form a unique fingerprint.

Cite this