Abstract
In this chapter, we formulate and discuss several surrogate-based optimization techniques and algorithms that may be useful for computationally efficient antenna optimization. All methods presented here exploit variable-fidelity EM simulations. In particular, in order to optimize the high-fidelity EM model R f of the antenna structure under consideration, an auxiliary low-fidelity model R c is utilized that is normally based on coarse-discretization EM evaluation of the same structure. Under suitable correction, the low-fidelity model provides reliable predictions regarding the improved design of the high-fidelity one. The methods of setting up the low-fidelity model are elaborated in Chap. 5. A discussion of optimization techniques is preceded, in Sect. 4.1, by outlining challenges of surrogate-based antenna design. Sections 4.2–4.7 contain formulation of specific methodologies. Applications for the design optimization of various antenna structures are covered in Chaps. 6–11.
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References
Alexandrov, N.M., Lewis, R.M.: An overview of first-order model management for engineering optimization. Optim. Eng. 2, 413–430 (2001)
Bakr, M.H., Bandler, J.W., Biernacki, R.M., Chen, S.H., Madsen, K.: A trust region aggressive space mapping algorithm for EM optimization. IEEE Trans. Microw. Theory Tech. 46, 2412–2425 (1998)
Bakr, M.H., Bandler, J.W., Georgieva, N.K., Madsen, K.: A hybrid aggressive space-mapping algorithm for EM optimization. IEEE Trans. Microw. Theory Tech. 47, 2440–2449 (1999)
Balanis, C.A.: Antenna Theory, 3rd edn. Wiley-Interscience, Hoboken, NJ (2005)
Bandler, J.W., Biernacki, R.M., Chen, S.H., Swanson Jr., D.G., Ye, S.: Microstrip filter design using direct EM field simulation. IEEE Trans. Microw. Theory Tech. 42, 1353–1359 (1994)
Bandler, J.W., Biernacki, R.M., Chen, S.H., Hemmers, R.H., Madsen, K.: Electromagnetic optimization exploiting aggressive space mapping. IEEE Trans. Microw. Theory Tech. 43, 2874–2882 (1995)
Bandler, J.W., Cheng, Q.S., Gebre-Mariam, D.H., Madsen, K., Pedersen, F., Søndergaard, J.: EM-based surrogate modeling and design exploiting implicit, frequency and output space mappings. IEEE Int. Microw. Symp. Digest, pp. 1003–1006. Philadelphia, PA (2003)
Bandler, J.W., Cheng, Q.S., Dakroury, S.A., Mohamed, A.S., Bakr, M.H., Madsen, K., Søndergaard, J.: Space mapping: the state of the art. IEEE Trans. Microw. Theory Tech. 52, 337–361 (2004a)
Bandler, J.W., Cheng, Q.S., Nikolova, N.K., Ismail, M.A.: Implicit space mapping optimization exploiting preassigned parameters. IEEE Trans. Microw. Theory Tech. 52, 378–385 (2004b)
Beachkofski, B., Grandhi, R.: Improved distributed hypercube sampling. American Institute of Aeronautics and Astronautics. Paper AIAA 2002, p. 1274 (2002)
Broyden, C.G.: A class of methods for solving nonlinear simultaneous equations. Math. Comp. 19, 577–593 (1965)
Conn, A.R., Gould, N.I.M., Toint, P.L.: Trust Region Methods. MPS-SIAM Series on Optimization (2000)
CST Microwave Studio: CST AG, Bad Nauheimer Str. 19, D-64289 Darmstadt, Germany (2013)
Echeverria, D., Hemker, P.W.: Space mapping and defect correction. CMAM Int. Math. J. Comput. Methods Appl. Math. 5, 107–136 (2005)
Echeverría, D.: Multi-Level optimization: space mapping and manifold mapping. Ph.D. Thesis, Faculty of Science, University of Amsterdam (2007a)
Echeverría, D.: Two new variants of the manifold-mapping technique. COMPEL. Int. J. Comput. Math. Electr. Eng. 26, 334–344 (2007b)
Echeverría, D., Hemker, P.W.: Manifold mapping: a two-level optimization technique. Comput. Visual. Sci. 11, 193–206 (2008)
Hemker, P.W., Echeverría, D.: A trust-region strategy for manifold mapping optimization. JCP J. Comput. Phys. 224, 464–475 (2007)
Koziel, S.: Shape-preserving response prediction for microwave design optimization. IEEE Trans. Microw. Theory Tech. 58, 2829–2837 (2010a)
Koziel, S.: Adaptively adjusted design specifications for efficient optimization of microwave structures. Prog. Electromag. Res. B (PIER B) 21, 219–234 (2010b)
Koziel, S.: Adaptive design specifications and coarsely-discretized EM models for rapid optimization of microwave structures. Appl. Comput. Electromag. Soc. J. 26, 1007–1015 (2011)
Koziel, S., Bandler, J.W.: Coarse and Surrogate Model Assessment for Engineering Design Optimization with Space Mapping, pp. 107–110. IEEE MTT-S Int. Microw. Symp. Dig., Honolulu, HI (2007b)
Koziel, S., Echeverría Ciaurri, D.: Reliable simulation-driven design optimization of microwave structures using manifold mapping. Prog. Electromag. Res. B 26, 361–382 (2010)
Koziel, S., Ogurtsov, S.: Robust Multi-fidelity Simulation-Driven Design Optimization of Microwave Structures, pp. 201–204. IEEE MTT-S Int. Microw. Symp. Dig., Anaheim, CA (2010b)
Koziel, S. Ogurtsov, S.: Rapid optimization of dielectric resonator antennas using surrogate models. Proc. Loughborough Antennas & Propagation Conference, LAPC 2011 (2011g)
Koziel, S., Ogurtsov, S.: Bandwidth Enhanced Design of Dielectric Resonator Antennas Using Surrogate-Based Optimization. IEEE Int. Symp. Antennas Propag., Spokane, WA (2011h)
Koziel, S., Ogurtsov, S.: EM-simulation-based antenna design using adaptive response correction. European Conf. Antennas & Propagation (2013a)
Koziel, S., Ogurtsov, S.: Computational-budget-driven automated microwave design optimization using variable-fidelity electromagnetic simulations. Int. J. RF Microw. CAE 22, 349–356 (2013b)
Koziel, S., Ogurtsov, S.: Multi-level design optimization of microwave structures with automated model fidelity adjustment. IEEE Int. Microw. Symp., IMS 2013. Seattle, WA, USA (2013c)
Koziel, S., Bandler, J.W., Madsen, K.: Space mapping framework for engineering optimization: theory and implementation. IEEE Trans. Microw. Theory Tech. 54, 3721–3730 (2006)
Koziel, S., Bandler, J.W., Madsen, K.: Quality assessment of coarse models and surrogates for space mapping optimization. Optim Eng. 9, 375–391 (2008a)
Koziel, S., Cheng, Q.S., Bandler, J.W.: Space mapping. IEEE Microw. Mag. 9, 105–122 (2008b)
Koziel, S., Meng, J., Bandler, J.W., Bakr, M.H., Cheng, Q.S.: Accelerated microwave design optimization with tuning space mapping. IEEE Trans. Microw. Theory Tech. 57, 383–394 (2009a)
Koziel, S., Bandler, J.W., Madsen, K.: Space mapping with adaptive response correction for microwave design optimization. IEEE Trans. Microw. Theory Tech. 57, 478–486 (2009b)
Koziel, S., Cheng, Q.S., Bandler, J.W.: Implicit space mapping with adaptive selection of preassigned parameters. IET Microw. Antennas Propag. 4, 361–373 (2010b)
Petosa, A.: Dielectric Resonator Antenna Handbook. Artech House, Atlanta, GA (2007)
Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidynathan, R., Tucker, P.K.: Surrogate-based analysis and optimization. Prog. Aerosp. Sci. 41, 1–28 (2005)
RO4000 Series High Frequency Circuit Materials. Rogers Corporation, Publication #92-004 (2010)
Volakis, J.L.: Antenna Engineering Handbook, 4th edn. McGraw-Hill, New York (2007)
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Koziel, S., Ogurtsov, S. (2014). Methodologies for Variable-Fidelity Optimization of Antenna Structures. In: Antenna Design by Simulation-Driven Optimization. SpringerBriefs in Optimization. Springer, Cham. https://doi.org/10.1007/978-3-319-04367-8_4
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