Abstract
The design of antenna systems poses a significant challenge due to stringent performance requirements dictated by contemporary applications and the high computational costs associated with models, particularly full-wave electromagnetic (EM) analysis. Presently, EM simulation plays a crucial role in all design phases, encompassing topology development, parametric studies, and the final adjustment of antenna dimensions. The latter stage is especially critical as rigorous numerical optimization becomes essential for achieving optimal performance. In an increasing number of instances, global parameter tuning is necessary. Unfortunately, the use of nature-inspired algorithms, the prevalent choice for global design, is hindered by their poor computational efficiency. This article presents an innovative approach to cost-efficient global optimization of antenna input characteristics. Our methodology leverages response feature technology, ensuring inherent regularization of the optimization task by exploring the nearly-linear dependence between the coordinates of feature points and the antenna's dimensions. The optimization process is structured as a machine learning (ML) procedure, utilizing a kriging surrogate model rendering response features to generate promising candidate designs (infill points). This model is iteratively refined using accumulated EM simulation data. Further acceleration is achieved by incorporating multi-fidelity EM analysis, where initial sampling and surrogate model construction use low-fidelity EM simulations, and the ML optimization loop employs high-fidelity EM analysis. The multi-fidelity EM simulation data is blended into a single surrogate using co-kriging. Extensive verification of the presented algorithm demonstrates its remarkable computational efficiency, with an average running cost not exceeding ninety EM simulations per run and up to a seventy percent relative speedup over the single-fidelity procedure.
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References
Yuan, X.-T., Chen, Z., Gu, T., Yuan, T.: A wideband PIFA-pair-based MIMO antenna for 5G smartphones. IEEE Ant. Wireless Propag. Lett. 20, 371–375 (2021)
Sun, L., Li, Y., Zhang, Z.: Wideband decoupling of integrated slot antenna pairs for 5G smartphones. IEEE Trans. Ant. Prop. 69, 2386–2391 (2021)
Kapusuz, K.Y., Berghe, A.V., Lemey, S., Rogier, H.: Partially filled half-mode substrate integrated waveguide leaky-wave antenna for 24 GHz automotive radar. IEEE Ant. Wireless Propag. Lett. 20, 33–37 (2021)
Ameen, M., Thummaluru, S.R., Chaudhary, R.K.: A compact multilayer triple-band circularly polarized antenna using anisotropic polarization converter. IEEE Ant. Wireless Propag. Lett. 20, 145–149 (2021)
Aqlan, B., Himdi, M., Vettikalladi, H., Le-Coq, L.: A circularly polarized sub-terahertz antenna with low-profile and high-gain for 6G wireless communication systems. IEEE Access 9, 122607–122617 (2021)
Wen, Z.-Y., Ban, Y.-L., Yang, Y., Wen, Q.: Risley-prism-based dual-circularly polarized 2-D beam scanning antenna with flat scanning gain. IEEE Ant. Wireless Propag. Lett. 20, 2412–2416 (2021)
Shirazi, M., Li, T., Huang, J., Gong, X.: A reconfigurable dual-polarization slot-ring antenna element with wide bandwidth for array applications. IEEE Trans. Ant. Prop. 66, 5943–5954 (2018)
Chen, C.: A compact wideband endfire filtering antenna inspired by a uniplanar microstrip antenna. IEEE Ant. Wireless Propag. Lett. 21, 853–857 (2022)
Wu, Y.F., Cheng, Y.J., Zhong, Y.C., Yang, H.N.: Substrate integrated waveguide slot array antenna to generate Bessel beam with high transverse linear polarization purity. IEEE Trans. Ant. Propag. 70, 750–755 (2022)
Lee, J., Kim, H., Oh, J.: Large-aperture metamaterial lens antenna for multi-layer MIMO transmission for 6G. IEEE Access 10, 20486–20495 (2022)
Chen, Z., Zhang, H.C., Cheng, Q.S.: Surrogate-assisted quasi-Newton enhanced global optimization of antennas based on a heuristic hypersphere sampling. IEEE Trans. Ant. Propag. 69, 2993–2998 (2021)
Nocedal, J., Wrigth, S.J.: Numerical Optimization, 2nd edn. Springer, New York (2006)
Conn, A.R., Scheinberg, K., Vicente, L.N.: Derivative-Free Optimization. MPS-SIAM Series on Optimization, Society for Industrial and Applied Mathematics, Philadelphia (2009
Xu, Y., et al.: A reinforcement learning-based multi-objective optimization in an interval and dynamic environment. Knowl.-Based Syst. 280, paper No. 111019 (2023)
Zhu, D.Z., Werner, P.L., Werner, D.H.: Design and optimization of 3-D frequency-selective surfaces based on a multiobjective lazy ant colony optimization algorithm. IEEE Trans. Ant. Propag. 65, 7137–7149 (2017)
Du, J., Roblin, C.: Stochastic surrogate models of deformable antennas based on vector spherical harmonics and polynomial chaos expansions: application to textile antennas. IEEE Trans. Ant. Prop. 66, 3610–3622 (2018)
Blankrot, B., Heitzinger, C.: Efficient computational design and optimization of dielectric metamaterial structures. IEEE J. Multiscale Multiphys. Comp. Techn. 4, 234–244 (2019)
Qian, B., Huang, X., Chen, X., Abdullah, M., Zhao, L., Kishk, A.A.: Surrogate-assisted defected ground structure design for reducing mutual coupling in 2 × 2 microstrip antenna array. IEEE Ant. Wireless Propag. Lett. 21, 351–355 (2022)
Koziel, S., Pietrenko-Dabrowska, A.: Reliable EM-driven size reduction of antenna structures by means of adaptive penalty factors. IEEE Trans. Ant. Propag. 70, 1389–1401 (2021)
Li, W., Zhang, Y., Shi, X.: Advanced fruit fly optimization algorithm and its application to irregular subarray phased array antenna synthesis. IEEE Access 7, 165583–165596 (2019)
Jia, X., Lu, G.: A hybrid Taguchi binary particle swarm optimization for antenna designs. IEEE Ant. Wireless Propag. Lett. 18, 1581–1585 (2019)
Ding, D., Wang, G.: Modified multiobjective evolutionary algorithm based on decomposition for antenna design. IEEE Trans. Ant. Propag. 61, 5301–5307 (2013)
Zhang, H., Bai, B., Zheng, J., Zhou, Y.: Optimal design of sparse array for ultrasonic total focusing method by binary particle swarm optimization. IEEE Access 8, 111945–111953 (2020)
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs. Springer, New York (1996)
Wang, D., Tan, D., Liu, L.: Particle swarm optimization algorithm: an overview. Soft. Comput. 22, 387–408 (2018)
Jiang, Z.J., Zhao, S., Chen, Y., Cui, T.J.: Beamforming optimization for time-modulated circular-aperture grid array with DE algorithm. IEEE Ant. Wireless Propag. Lett. 17, 2434–2438 (2018)
Baumgartner, P., et al.: Multi-objective optimization of Yagi-Uda antenna applying enhanced firefly algorithm with adaptive cost function. IEEE Trans. Mag. 54, article no. 8000504 (2018)
Mostafa, R.R., Gaheen, M.A., El-Aziz, M.A., Al-Betar, Ewees, A.A.: An improved gorilla troops optimizer for global optimization problems A.A. Knowl.-Based Syst. 269, paper No. 110462 (2023)
Ram, G., Mandal, D., Kar, R., Ghoshal, S.P.: Cat swarm optimization as applied to time-modulated concentric circular antenna array: analysis and comparison with other stochastic optimization methods. IEEE Trans. Antennas Propag. 63, 4180–4183 (2015)
Easum, J.A., Nagar, J., Werner, P.L., Werner, D.H.: Efficient multi-objective antenna optimization with tolerance analysis through the use of surrogate models. IEEE Trans. Ant. Prop. 66, 6706–6715 (2018)
Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Opt. 13, 455–492 (1998)
Chen, C., Liu, J., Xu P.: Comparison of infill sampling criteria based on Kriging surrogate model. Sc. Rep. 12, Art. No. 678 (2022)
De Villiers, D.I.L., Couckuyt, I., Dhaene T.: Multi-objective optimization of reflector antennas using kriging and probability of improvement. In: International Symposium on Antennas and Propagation, San Diego, USA, pp. 985–986 (2017)
Qin, J., Dong, W., Wang, M.: Fast multi-objective optimization of multi-parameter antenna structures based on improved BPNN surrogate model. IEEE Access 7, 77692–77701 (2019)
Hu, C., Zeng, S., Li C.: A framework of global exploration and local exploitation using surrogates for expensive optimization. Knowl.-Based Syst. 280, paper No. 111018 (2023)
Xiao, S., et al.: Multi-objective Pareto optimization of electromagnetic devices exploiting kriging with Lipschitzian optimized expected improvement. IEEE Trans. Magn. 54, paper No. 7001704 (2018)
Koziel, S., Pietrenko-Dabrowska, A.: Performance-Driven Surrogate Modeling of High-Frequency Structures. Springer, New York (2020)
Pietrenko-Dabrowska, A., Koziel, S.: Antenna modeling using variable-fidelity EM simulations and constrained co-kriging. IEEE Access 8, 91048–91056 (2020)
Pietrenko-Dabrowska, A., Koziel, S.: Generalized formulation of response features for reliable optimization of antenna input characteristics. IEEE Trans. Ant. Propag. 70, 3733–3748 (2021)
Pietrenko-Dabrowska, A., Koziel, S.: Simulation-driven antenna modeling by means of response features and confined domains of reduced dimensionality. IEEE Access 8, 228942–228954 (2020)
Pietrenko-Dabrowska, A., Koziel, S., Ullah U.: Reduced-cost two-level surrogate antenna modeling using domain confinement and response features. Sc. Rep. 12, Art. No. 4667 (2022)
Koziel, S.: Fast simulation-driven antenna design using response-feature surrogates. Int. J. RF & Micr. CAE 25, 394–402 (2015)
Kennedy, M.C., O’Hagan, A.: Predicting the output from complex computer code when fast approximations are available. Biometrika 87, 1–13 (2000)
Vinod Chandra, S.S., Anand, H.S.: Nature inspired meta heuristic algorithms for optimization problems. Computing 104, 251–269 (2022)
Chen, Y.-C., Chen, S.-Y., Hsu, P.: Dual-band slot dipole antenna fed by a coplanar waveguide. In: Proceedings of IEEE Antennas and Propagation Society International Symposium, Albuquerque, NM, USA, pp. 3589–3592 (2006)
Consul, P.: Triple band gap coupled microstrip U-slotted patch antenna using L-slot DGS for wireless applications. In: Communication, Control and Intelligent Systems (CCIS), Mathura, India, pp. 31–34 (2015)
CST Microwave Studio, ver. 2021, Dassault Systemes, France (2021)
Conn, A.R., Gould, N.I.M., Toint, P.L.: Trust Region Methods, MPS-SIAM Series on Optimization (2000)
Liu, J., Han, Z., Song, W.: Comparison of infill sampling criteria in kriging-based aerodynamic optimization. In: 28thInternational Congress of the Aeronautical Sciences, Brisbane, Australia, pp. 1–10, 23–28 September 2012
Acknowledgement
The authors would like to thank Dassault Systemes, France, for making CST Microwave Studio available. This work is partially supported by the Icelandic Centre for Research (RANNIS) Grant 239858 and by National Science Centre of Poland Grant 2022/47/B/ST7/00072.
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Pietrenko-Dabrowska, A., Koziel, S., Leifsson, L. (2024). Expedited Machine-Learning-Based Global Design Optimization of Antenna Systems Using Response Features and Multi-fidelity EM Analysis. In: Franco, L., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2024. ICCS 2024. Lecture Notes in Computer Science, vol 14836. Springer, Cham. https://doi.org/10.1007/978-3-031-63775-9_2
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