Simulation-Driven Antenna Design Using Surrogate-Based Optimization

Accurate responses of antennas, in many cases, can be obtained only with discrete full-wave electromagnetic (EM) simulations. Therefore, contemporary antenna design strongly relies on these EM simulations. On the other hand, direct use of high-fidelity EM simulations in the design process, particularly for automated parameter optimization, often results in prohibitive computational costs. In this chapter, we illustrate how the designs of various antennas can be obtained efficiently using an automated surrogate-based optimization (SBO) methodology. The SBO techniques considered here include the adaptive design specification technique, variable-fidelity simulation-driven optimization, and shape-preserving response prediction. The essence of these techniques resides in shifting the optimization burden to a fast surrogate of the antenna structure, and using coarse-discretization EM models to configure the surrogate. A properly created and handled surrogate serves as a reliable prediction tool allowing satisfactory designs to be obtained at the cost of a few simulations of the high-fidelity antenna model. We also demonstrate the effect of the coarse-discretization model fidelity on the final design quality and the computational cost of the design process. Finally, we give an example of automatic management of the coarse model quality. Recommendations concerning the application of specific SBO techniques to antenna design are also presented.

[1]  Hans Schantz,et al.  The art and science of ultrawideband antennas , 2005 .

[2]  Slawomir Koziel,et al.  Variable-fidelity simulation-driven design optimisation of microwave structures , 2012, Int. J. Math. Model. Numer. Optimisation.

[3]  Leifur Leifsson,et al.  Surrogate-Based Methods , 2011, Computational Optimization, Methods and Algorithms.

[4]  Naim Dahnoun,et al.  Studies in Computational Intelligence , 2013 .

[5]  Henry Jasik,et al.  Antenna engineering handbook , 1961 .

[6]  Slawomir Koziel,et al.  Simulation-Driven Design in Microwave Engineering: Methods , 2011, Computational Optimization, Methods and Algorithms.

[7]  John W. Bandler,et al.  Wave Sensitivities of Networks , 1972 .

[8]  P. W. Hemker,et al.  Space Mapping and Defect Correction , 2005 .

[9]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[10]  Slawomir Koziel,et al.  Progress in Simulator-Based Tuning—The Art of Tuning Space Mapping [Application Notes] , 2010, IEEE Microwave Magazine.

[11]  Y. Rahmat-Samii,et al.  Analysis and Particle Swarm Optimization of Correlator Antenna Arrays for Radio Astronomy Applications , 2008, IEEE Transactions on Antennas and Propagation.

[12]  M. F. Pantoja,et al.  A Hybrid Genetic-Algorithm Space-Mapping Tool for the Optimization of Antennas , 2007, IEEE Transactions on Antennas and Propagation.

[13]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[14]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[15]  Slawomir Koziel Efficient optimization of microwave structures through design specifications adaptation , 2010, 2010 IEEE Antennas and Propagation Society International Symposium.

[16]  J. Ouyang,et al.  Conformal Antenna Optimization with Space Mapping , 2010 .

[17]  Hao Ling,et al.  Design of a Band-Notched Planar Monopole Antenna Using Genetic Algorithm Optimization , 2007, IEEE Transactions on Antennas and Propagation.

[18]  Andy J. Keane,et al.  Recent advances in surrogate-based optimization , 2009 .

[19]  C. Balanis Antenna theory , 1982 .

[20]  John W. Bandler,et al.  Space Mapping for Engineering Optimization , 2006 .

[21]  Jong-Gwan Yook,et al.  Wideband Microstrip Patch Antenna With U-Shaped Parasitic Elements , 2007, IEEE Transactions on Antennas and Propagation.

[22]  Slawomir Koziel,et al.  Rapid design optimization of antennas using space mapping and response surface approximation models , 2011 .

[23]  S. Koziel,et al.  A Space-Mapping Framework for Engineering Optimization—Theory and Implementation , 2006, IEEE Transactions on Microwave Theory and Techniques.

[24]  S. Koziel,et al.  Space mapping , 2008, IEEE Microwave Magazine.

[25]  James C. Rautio Perfectly calibrated internal ports in EM analysis of planar circuits , 2008, 2008 IEEE MTT-S International Microwave Symposium Digest.

[26]  Slawomir Koziel,et al.  Optimization of UWB planar antennas using adaptive design specifications , 2011, Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP).

[27]  Slawomir Koziel,et al.  Computationally efficient simulation-driven antenna design using coarse-discretization electromagnetic models , 2011, 2011 IEEE International Symposium on Antennas and Propagation (APSURSI).

[28]  Christos G. Christodoulou,et al.  Guest Editorial for the Special Issue on Synthesis and Optimization Techniques in Electromagnetics and Antenna System Design , 2007 .

[29]  Tamara G. Kolda,et al.  Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods , 2003, SIAM Rev..

[30]  J.E. Rayas-Sanchez,et al.  EM-based optimization of microwave circuits using artificial neural networks: the state-of-the-art , 2003, IEEE Transactions on Microwave Theory and Techniques.

[31]  Kwai-Man Luk,et al.  Stacked annular ring dielectric resonator antenna excited by axi-symmetric coaxial probe , 1995 .

[32]  Y. Rahmat-Samii,et al.  Parallel particle swarm optimization and finite- difference time-domain (PSO/FDTD) algorithm for multiband and wide-band patch antenna designs , 2005, IEEE Transactions on Antennas and Propagation.

[33]  Young-Seek Chung,et al.  Optimal design method for microwave device using time domain method and design sensitivity analysis. II. FDTD case , 2001 .

[34]  G. Macchiarella,et al.  Microwave filter design by synthesis and optimization , 2007, IEEE Microwave Magazine.

[35]  J.W. Bandler,et al.  Space mapping: the state of the art , 2004, IEEE Transactions on Microwave Theory and Techniques.

[36]  S. Safavi-Naeini,et al.  ACCELERATED ANTENNA DESIGN METHODOLOGY EXPLOITING PARAMETERIZED CAUCHY MODELS , 2009 .

[37]  Slawomir Koziel,et al.  Computational Optimization, Methods and Algorithms , 2016, Computational Optimization, Methods and Algorithms.

[38]  S Koziel,et al.  Shape-Preserving Response Prediction for Microwave Design Optimization , 2010, IEEE Transactions on Microwave Theory and Techniques.

[39]  Raphael T. Haftka,et al.  Surrogate-based Analysis and Optimization , 2005 .

[40]  N. M. Alexandrov,et al.  A trust-region framework for managing the use of approximation models in optimization , 1997 .

[41]  Nasimuddin,et al.  Wideband microstrip antennas with sandwich substrate , 2008 .

[42]  Lei Xia,et al.  Support Vector Regression Model for Millimeter Wave Transitions , 2007 .

[43]  Qi-Jun Zhang,et al.  Neural Network Inverse Modeling and Applications to Microwave Filter Design , 2008, IEEE Transactions on Microwave Theory and Techniques.

[44]  S. Amari,et al.  Space-mapping optimization of planar coupled-resonator microwave filters , 2006, IEEE Transactions on Microwave Theory and Techniques.

[45]  Slawomir Koziel,et al.  Simulation-driven design of dielectric resonator antenna with reduced board noise emission , 2011, 2011 IEEE MTT-S International Microwave Symposium.

[46]  Slawomir Koziel,et al.  Robust multi-fidelity simulation-driven design optimization of microwave structures , 2010, 2010 IEEE MTT-S International Microwave Symposium.

[47]  Andrew Lewis,et al.  Multiobjective optimization for small meander wire dipole antennas in a fixed area using ant colony system , 2009 .

[48]  R. Haupt,et al.  Antenna Design With a Mixed Integer Genetic Algorithm , 2007, IEEE Transactions on Antennas and Propagation.

[49]  Timothy W. Simpson,et al.  Metamodels for Computer-based Engineering Design: Survey and recommendations , 2001, Engineering with Computers.

[50]  Slawomir Koziel,et al.  Antenna design through variable-fidelity simulation-driven optimization , 2011, 2011 Loughborough Antennas & Propagation Conference.

[51]  Raafat R. Mansour,et al.  EM-based microwave circuit design using fuzzy logic techniques , 2006 .