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Optimization Methods in Antenna Engineering

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Handbook of Antenna Technologies

Abstract

Optimization strategies have been heavily used in the antenna design community for many years. Oftentimes, the details of the strategies and optimization configurations are left out of the designs in open literature. The goal of this chapter is to inform the reader of many of the algorithms currently being used in the antenna design community, give a detailed operation of four of the most commonly used algorithms, and compare their performance on test functions and an example antenna design problem. Additionally, several recent examples of complex antenna designs which made use of these algorithms will be examined.

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References

  • Akhoondzadeh-Asl L, Kern DJ, Hall PS, Werner DH (2007) Wideband dipoles on electromagnetic bandgap ground planes. IEEE Trans Antennas Propag 55(9):2426–2434

    Google Scholar 

  • Altshuler EE (2002) Electrically small self-resonant wire antennas optimized using a genetic algorithm. IEEE Trans Antennas Propag 50(3):297–300

    Google Scholar 

  • Altshuler EE, Linden DS (1997) Wire-antenna designs using genetic algorithms. IEEE Trans Antennas Propag 39(2):33–43

    Google Scholar 

  • Alu A, Bilotti F, Engheta N, Vegni L (2007) Subwavelength planar leaky-wave components with metamaterial bilayers. IEEE Trans Antennas Propag 55(3):882–891

    Google Scholar 

  • Antoniades MA, Eleftheriades GV (2009) A broadband dual-mode monopole antenna using NRI-TL metamaterial loading. IEEE Antennas Wirel Propag Lett 8:258–261

    Google Scholar 

  • Ares-Pena FJ, Rodriguez-Gonzalez JA, Villanueva-Lopez E, Rengarajan SR (1999) Genetic algorithms in the design and optimization of antenna array patterns. IEEE Trans Antennas Propag 47(3):506–510

    Google Scholar 

  • Auger A, Hansen N (2005) A restart CMA evolution strategy with increasing population size. In: Proceedings of the IEEE congress on evolutionary computation, Edinburgh, Scotland, UK, pp 1769–1776

    Google Scholar 

  • Baccarelli P, Burghignoli P, Lovat G, Paulotto S (2003) Surface-wave suppression in a double-negative metamaterial grounded slab. IEEE Antennas Wirel Propag Lett 2:269–272

    Google Scholar 

  • Baccarelli P, Burghignoli P, Frezza F, Galli A, Lampariello P, Lovat G, Paulotto S (2005a) Fundamental modal properties of surface waves on metamaterial grounded slabs. IEEE Trans Microwave Theory Tech 53(4):1431–1442

    Google Scholar 

  • Baccarelli P, Burghignoli P, Frezza F, Galli A, Lampariello P, Lovat G, Paulotto S (2005b) Effects of leaky-wave propagation in metamaterial grounded slabs excited by a dipole source. IEEE Trans Microwave Theory Tech 53(1):32–43

    Google Scholar 

  • Balanis CA (2008) Modern antenna theory: analysis and design. Wiley, New York

    Google Scholar 

  • Bayraktar Z, Bossard JA, Wang X, Werner DH (2010) Real-valued parallel clonal selection algorithm for design optimization in electromagnetics. In: Proceedings of the 2010 I.E. international symposium on antennas and propagation, Toronto

    Google Scholar 

  • Bayraktar Z, Komurcu M, Jiang ZH, Werner DH, Werner PL (2011) Stub-loaded inverted-F antenna synthesis via wind driven optimization. In: Proceedings of the 2011 I.E. international symposium on antennas and propagation, Spokane, Washington, pp 2920–2923

    Google Scholar 

  • Bayraktar Z, Bossard JA, Wang X, Werner DH (2012) A real-valued parallel clonal selection algorithm and its application to the design optimization of multi-layered frequency selective surfaces. IEEE Trans Antennas Propag 60(4):1831–1843

    MathSciNet  MATH  Google Scholar 

  • Bayraktar Z, Komurcu M, Bossard JA, Werner DH (2013) The wind driven optimization technique and its application in electromagnetics. IEEE Trans Antennas Propag 61(5):2745–2757

    MathSciNet  MATH  Google Scholar 

  • Boag A, Boag A, Michielssen E, Mittra R (1996) Design of electrically loaded wire antennas using genetic algorithms. IEEE Trans Antennas Propag 44(5):687–695

    Google Scholar 

  • Boeringer DW, Werner DH (2004) Particle swarm optimization versus genetic algorithms for phased array synthesis. IEEE Trans Antennas Propag 52(3):771–779

    Google Scholar 

  • Boeringer DW, Werner DH (2005) Efficiency-constrained particle swarm optimization of a modified Bernstein polynomial for conformal array excitation amplitude synthesis. IEEE Trans Antennas Propag 53(8):2662–2673

    Google Scholar 

  • Boeringer DW, Werner DH, Machuga DW (2005) A simultaneous parameter adaptation scheme for genetic algorithms with application to phased array synthesis. IEEE Trans Antennas Propag 53(1):356–371

    Google Scholar 

  • Bray MG, Werner DH, Boeringer DW, Machuga DW (2002) Optimization of thinned aperiodic linear phased arrays using genetic algorithms to reduce grating lobes during scanning. IEEE Trans Antennas Propag 50(12):1732–1742

    Google Scholar 

  • Brocker DE, Werner DH, Werner PL (2014) Dual-band shorted patch antenna with significant size reduction using a meaner slot. In: Proceedings of the 2014 I.E. international symposium on antennas and propagation, Memphis, Tennessee, pp 289–290

    Google Scholar 

  • Caloz C, Itoh T (2005) Electromagnetic metamaterials: transmission line theory and microwave applications. Wiley, New York

    Google Scholar 

  • Campelo F, Guimarães FG, Igarashi H, Ramírez JA (2005) A clonal selection algorithm for optimization in electromagnetics. IEEE Trans Magn 41(5):1736–1739

    Google Scholar 

  • Chang T-H, Kiang J-K (2007) Broadband dielectric resonator antenna with metal coating. IEEE Trans Antennas Propag 55(5):1254–1259

    Google Scholar 

  • Chen ZN, Luk K-M (2009) Antennas for base stations in wireless communications. McGraw-Hill Professional, New York

    Google Scholar 

  • Chen Y, Wang C (2012) Synthesis of reactively controlled antenna arrays using characteristic modes and DE algorithm. IEEE Antennas Wirel Propag Lett 11:385–388

    Google Scholar 

  • Chen HT, Wong KL, Chio TW (2003) PIFA with a meandered and folded patch for the dual-band mobile phone application. IEEE Trans Antennas Propag 51(9):2468–2471

    Google Scholar 

  • Chen ZN, See TSP, Qing X (2007) Small printed ultrawideband antenna with reduced ground plane effect. IEEE Trans Antennas Propag 55(2):383–388

    Google Scholar 

  • Cheng Q, Cui TJ (2011) Multi-beam generations at pre-designed directions based on anisotropic zero-index metamaterials. Appl Phys Lett 99:131913(1)–131913(3)

    Google Scholar 

  • Coleman CM, Rothwell EJ, Ross JE (2004) Investigation of simulated annealing, ant-colony optimization, and genetic algorithms for self-structuring antennas. IEEE Trans Antennas Propag 52(4):1007–1014

    Google Scholar 

  • de Castro LN, Von Zuben FJ (2002) Learning and optimization using the clonal selection principle. IEEE Trans Evol Comput 6(3):239–251

    Google Scholar 

  • Deb A, Roy JS, Gupta B (2014) Performance comparison of differential evolution, particle swarm optimization, and genetic algorithm in the design of circularly polarized microstrip antennas. IEEE Trans Antennas Propag 62(8):3920–3928

    MATH  Google Scholar 

  • Deslandes D, Wu K (2003) Single-substrate integration technique of planar circuits and waveguide filters. IEEE Trans Microwave Theory Tech 51(2):593–596

    Google Scholar 

  • Dorigo M, Birattari M, Stützle T (2006) Ant colony optimization. IEEE Comput Intell Mag 1(4):28–39

    Google Scholar 

  • Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: IEEE proceedings of the sixth international symposium on micro machine and human science, Nagoya, Japan, pp 39–43

    Google Scholar 

  • Enoch S, Tayeb G, Sabouroux P, Guérin N, Vincent P (2002) A metamaterial for directive emission. Phys Rev Lett 89(21):213902(1)–213902(4)

    Google Scholar 

  • Fang XS, Leung KW (2012) Linear-/circular-polarization designs of dual-/wide-band cylindrical dielectric resonator antennas. IEEE Trans Antennas Propag 60(6):2662–2671

    Google Scholar 

  • Fang XS, Chow CK, Leung KW, Lim EH (2011) New single-/dual-mode design formulas of the rectangular dielectric resonator antenna using covariance matrix adaptation evolutionary strategy. IEEE Antennas Wirel Propag Lett 10:734–737

    Google Scholar 

  • Feresidis AP, Goussetis G, Wang S, Vardaxoglou JC (2005) Artificial magnetic conductor surfaces and their application to low-profile high-gain planar antennas. IEEE Trans Antennas Propag 53(1):209–215

    Google Scholar 

  • Fujimoto K, James JR (eds) (2001) Mobile antenna systems handbook, 2nd edn. Artech House, Boston

    Google Scholar 

  • Gies D (2004) Particle swarm optimization: applications in electromagnetic design. M. Eng. thesis, UCLA, Los Angeles

    Google Scholar 

  • Godi G, Sauleau R, Le Coq L, Thouroude D (2007) Design and optimization of three-dimensional integrated lens antennas with genetic algorithm. IEEE Trans Antennas Propag 55(3):770–775

    Google Scholar 

  • Goudos SK, Siakavara K, Vafiadis EE, Sahalos JN (2010) Pareto optimal Yagi-Uda antenna design using multi-objective differential evolution. Prog Electromagn Res 105:231–251

    Google Scholar 

  • Goudos SK, Siakavara K, Samaras T, Vafiadis EE, Sahalos JN (2011) Self-adaptive differential evolution applied to real-valued antenna and microwave design problems. IEEE Trans Antennas Propag 59(4):1286–1298

    Google Scholar 

  • Gregory MD, Werner DH (2009) Optimization of broadband antenna elements in a periodic planar infinite array. In: Proceedings of the 2009 I.E. international symposium on antennas and propagation, Charleston, South Carolina

    Google Scholar 

  • Gregory MD, Werner DH (2010) Ultrawideband aperiodic antenna arrays based on optimized raised power series representations. IEEE Trans Antennas Propag 58(3):756–764

    Google Scholar 

  • Gregory MD, Werner DH (2011) Next generation electromagnetic optimization with the covariance matrix adaptation evolutionary strategy. In: Proceedings of the 2011 I.E. international symposium on antennas and propagation, Spokane, Washington

    Google Scholar 

  • Gregory MD, Werner DH (2013) Multi-band and wideband antenna design using port substitution and CMA-ES. In: Proceedings of the 2013 I.E. international symposium on antennas and propagation and USNC/URSI national radio science meeting, Orlando

    Google Scholar 

  • Gregory MD, Petko JS, Spence TG, Werner DH (2010a) Nature-inspired design techniques for ultra-wideband aperiodic antenna arrays. IEEE Antennas Propag Mag 52(3):28–45

    Google Scholar 

  • Gregory MD, Bayraktar Z, Werner DH (2010b) Fast optimization of electromagnetics design problems through the CMA evolutionary strategy. In: Proceedings of the 2010 I.E. international symposium on antennas and propagation, Toronto, Ontario

    Google Scholar 

  • Gregory MD, Bayraktar Z, Werner DH (2011) Fast optimization of electromagnetic design problems using the covariance matrix adaptation evolutionary strategy. IEEE Trans Antennas Propag 59(4):1275–1285

    Google Scholar 

  • Gregory MD, Namin FA, Werner DH (2013) Exploiting rotational symmetry for the design of ultra-wideband planar phased array layouts. IEEE Trans Antennas Propag 61(1):176–184

    MathSciNet  MATH  Google Scholar 

  • Guérin N, Enoch S, Tayeb G, Sabouroux P, Vincent P, Legay H (2006) A metallic Fabry-Perot directive antenna. IEEE Trans Antennas Propag 54(1):220–224

    Google Scholar 

  • Guha D, Gupta B, Antar YMM (2009) New pawn-shaped dielectric ring resonator loaded hybrid monopole antenna for improved ultrawide bandwidth. IEEE Antennas Wirel Propag Lett 8:1178–1181

    Google Scholar 

  • Guo YX, Luk KM, Lee KF (2000) Dual-band slot-loaded short-circuited patch antenna. IEEE Electron Lett 36(4):289–291

    Google Scholar 

  • Hansen N (2014) The CMA evolutionary strategy. Website https://www.lri.fr/~hansen/cmaesintro.html. Accessed 12 Nov 2014

  • Hansen N, Ostermeier A (2001) Completely derandomized self-adaptation in evolution strategies. Evol Comput 9(2):159–195

    Google Scholar 

  • Hansen N, Müller SD, Koumoutsakos P (2003) Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evol Comput 11(1):1–18

    Google Scholar 

  • Hao Z-C, Hong W, Chen J-X, Chen X-P, Wu K (2005) Single-compact super-wide bandpass substrate integrated waveguide (SIW) filters. IEEE Trans Microwave Theory Tech 53(9):2968–2977

    Google Scholar 

  • Haupt RL (1994) Thinned arrays using genetic algorithms. IEEE Trans Antennas Propag 42(7):993–999

    Google Scholar 

  • Haupt RL (1995) An introduction to genetic algorithms for electromagnetics. IEEE Antennas Propag Mag 37(2):7–15

    Google Scholar 

  • Haupt RL, Werner DH (2007) Genetic algorithms in electromagnetics. Wiley, Hoboken

    Google Scholar 

  • Holland JH (1973) Genetic algorithms and the optimal allocation of trials. SIAM J Comput 2(2):88–105

    MathSciNet  MATH  Google Scholar 

  • Hoorfar A (2007) Evolutionary programming in electromagnetic optimization: a review. IEEE Trans Antennas Propag 55(3):523–537

    Google Scholar 

  • Hoorfar A, Chellapilla K (1998) Gain optimization of a multi-layer printed dipole array using evolutionary programming. In: Proceedings of the 1998 I.E. international symposium on antennas and propagation, Atlanta, Georgia, vol 1, pp 46–49

    Google Scholar 

  • Jamnejad V, Hoorfar A (2004) Design of corrugated horn antennas by evolutionary optimization techniques. IEEE Antennas Wirel Propag Lett 3:276–279

    Google Scholar 

  • Jiang ZH, Bossard JA, Wang X, Werner DH (2011a) Synthesizing metamaterials with angularly independent effective medium properties based on an anisotropic parameter retrieval technique coupled with a genetic algorithm. J Appl Phys 109:013515(1)–013515(11)

    Google Scholar 

  • Jiang ZH, Gregory MD, Werner DH (2011b) A broadband monopole antenna enabled by an ultrathin anisotropic metamaterial coating. IEEE Antennas Wirel Propag Lett 10:1543–1546

    Google Scholar 

  • Jiang ZH, Gregory MD, Werner DH (2012a) Broadband high directivity multibeam emission through transformation optics-enabled metamaterial lenses. IEEE Trans Antennas Propag 60(11):5063–5074

    MathSciNet  MATH  Google Scholar 

  • Jiang ZH, Wu Q, Werner DH (2012b) Demonstration of enhanced broadband unidirectional electromagnetic radiation enabled by a subwavelength profile leaky anisotropic zero-index metamaterial coating. Phys Rev B 86(12):125131(1)–125131(7)

    Google Scholar 

  • Jin N, Rahmat-Samii Y (2005) Parallel particle swarm optimization and finite difference time-domain (PSO/FDTD) algorithm for multiband and wide-band patch antenna designs. IEEE Trans Antennas Propag 53(11):3459–3468

    Google Scholar 

  • Jin N, Rahmat-Samii Y (2007) Advances in particle swarm optimization for antenna designs: real-number, binary, single-objective and multi-objective implementations. IEEE Trans Antennas Propag 55(3):556–567

    Google Scholar 

  • Jin N, Rahmat-Samii Y (2008) Particle swarm optimization for antenna designs in engineering electromagnetics. J Artif Evol Appl 2008(9):1–10

    Google Scholar 

  • Johnson JM, Rahmat-Samii Y (1997) Genetic algorithms in engineering electromagnetics. IEEE Antennas Propag Mag 39(4):7–21

    Google Scholar 

  • Johnson JM, Rahmat-Samii Y (1999) Genetic algorithms and method of moments (GA/MOM) for the design of integrated antennas. IEEE Trans Antennas Propag 47(10):1606–1614

    Google Scholar 

  • Jones EA, Joines WT (1997) Design of Yagi-Uda antennas using genetic algorithms. IEEE Trans Antennas Propag 45(9):1386–1392

    Google Scholar 

  • Kan HK, Waterhouse RB (1999) Size reduction technique for shorted patches. IEEE Electron Lett 35(12):948–949

    Google Scholar 

  • Karimkashi S, Kishk AA (2010) Invasive weed optimization and its features in electromagnetics. IEEE Trans Antennas Propag 58(4):1269–1278

    Google Scholar 

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of the ninth international conference on neural networks, Perth, Western Australia, vol 4, pp 1942–1948

    Google Scholar 

  • Kennedy J, Eberhart R (2001) Swarm intelligence. Morgan Kaufmann/Academic, San Francisco

    Google Scholar 

  • Kerkhoff AJ, Ling H (2007) Design of a band-notched planar monopole antenna using genetic algorithm optimization. IEEE Trans Antennas Propag 55(3):604–610

    Google Scholar 

  • King HE, Wong JL (1972) An experimental study of a balun-fed open-sleeve dipole in front of a metallic reflector. IEEE Trans Antennas Propag 20:201–204

    Google Scholar 

  • Kirkpatrick S, Gelatt CD Jr, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671–680

    MathSciNet  MATH  Google Scholar 

  • Kurup DG, Himdi M, Rydberg A (2003) Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm. IEEE Trans Antennas Propag 51(9):2210–2217

    Google Scholar 

  • Lee KF, Luk KM, Tong KF, Shwn SM, Huynh T, Lee RQ (1997) Experimental and simulation studies of the coaxially fed U-slot rectangular patch antenna. IEEE Proc Microw Antennas Propag 144(5):354–358

    Google Scholar 

  • Leung KW, Fang XS, Pan YM, Lim EH, Luk KM, Chan HP (2013) Dual-function radiating glass for antennas and light covers–part II: dual-band glass dielectric resonator antennas. IEEE Trans Antennas Propag 61(2):587–597

    Google Scholar 

  • Lewis A, Weis G, Randall M, Galehdar A, Thiel D (2009) Optimising efficiency and gain of small meander line RFID antennas using ant colony system. In: Proceedings of the IEEE congress on evolutionary computation, Trondheim, Norway, pp 1486–1492

    Google Scholar 

  • Li R, DeJean G, Tentzeris MM, Laskar J (2004) Development and analysis of a folded shorted-patch antenna with reduced size. IEEE Trans Antennas Propag 52(2):555–562

    Google Scholar 

  • Li W, Liu B, Zhao H (2014) The U-shaped structure in dual-band circularly polarized slot antenna design. IEEE Antennas Wirel Propag Lett 13:447–450

    Google Scholar 

  • Liang J, Chiau CC, Chen X, Parini CG (2005) Study of a printed circular disc monopole antenna for UWB systems. IEEE Trans Antennas Propag 53(11):3500–3504

    Google Scholar 

  • Lin C, Qing A, Feng Q (2010) Synthesis of unequally spaced antenna arrays by using differential evolution. IEEE Trans Antennas Propag 58(8):2553–2561

    Google Scholar 

  • Liu L, Caloz C, Itoh T (2002) Dominant mode leaky-wave antenna with backfire-to-endfire scanning capability. IEEE Electron Lett 38(23):1414–1416

    Google Scholar 

  • Liu B, Hong W, Zhang Y, Tang HJ, Yin X, Wu K (2007) Half mode substrate integrated waveguide 180° 3-dB directional couplers. IEEE Trans Microwave Theory Tech 55(12):2586–2592

    Google Scholar 

  • Liu R, Ji C, Mock JJ, Chin JY, Cui TJ, Smith DR (2009) Broadband ground-plane cloak. Science 323(5912):366–369

    Google Scholar 

  • Lizzi L, Viani F, Azaro R, Massa A (2007) Optimization of a spline-shaped UWB antenna by PSO. IEEE Antennas Wirel Propag Lett 6:182–185

    Google Scholar 

  • Lizzi L, Viani F, Azaro R, Massa A (2008) A PSO-driven spline-based shaping approach for ultrawideband (UWB) antenna synthesis. IEEE Trans Antennas Propag 56(8):2613–2621

    Google Scholar 

  • Lo YT, Lee SW (1988) Antenna handbook: theory, applications, and design. Van Nostrand Reinhold, New York

    Google Scholar 

  • Long SA, Walton WD (1979) A dual-frequency stacked microstrip circular-disc antenna. IEEE Trans Antennas Propag 27(2):270–273

    Google Scholar 

  • Lovat G, Burghignoli P, Capolino F, Jackson DR, Wilton DR (2006) Analysis of directive radiation from a line source in a metamaterial slab with low permittivity. IEEE Trans Antennas Propag 54(3):1017–1030

    Google Scholar 

  • Maci S, Gentili GB, Piazzesi P, Salvador C (1995) Dual-band slot-loaded patch antenna. IEEE Proc Microw Antennas Propag 142(3):225–232

    Google Scholar 

  • Martin SH, Martinez I, Turpin JP, Werner DH, Lier E, Bray MG (2014) The synthesis of wide- and multi-bandgap electromagnetic surfaces with finite size and nonuniform capacitive loading. IEEE Trans Microwave Theory Tech 62(9):1962–1972

    Google Scholar 

  • Martínez-Fernández J, Gil JM, Zapata J (2007) Ultrawideband optimized profile monopole antenna by means of simulated annealing algorithm and the finite element method. IEEE Trans Antennas Propag 55(6):1826–1832

    Google Scholar 

  • Massa A, Pastorino M, Randazzo A (2006) Optimization of the directivity of a monopulse antenna with a subarray weighting by a hybrid differential evolution method. IEEE Antennas Wirel Propag Lett 5:155–158

    Google Scholar 

  • Mosallaei H, Rahmat-Samii Y (2001) Nonuniform Luneberg and two-shell lens antennas: radiation characteristics and design optimization. IEEE Trans Antennas Propag 49(1):60–69

    Google Scholar 

  • Murino V, Trucco A, Regazzoni CS (1996) Synthesis of unequally spaced arrays by simulated annealing. IEEE Trans Signal Process 44(1):119–123

    Google Scholar 

  • Ollikainen J, Fischer M, Vainikainen P (1999) Thin dual-resonant stacked shorted patch antenna for mobile communications. IEEE Electron Lett 35(6):437–438

    Google Scholar 

  • Palandoken M, Grede A, Henke H (2009) Broadband microstrip antenna with left-handed metamaterials. IEEE Trans Antennas Propag 57(2):331–338

    Google Scholar 

  • Pan YM, Zheng SY, Hu BJ (2014) Design of dual-band omnidirectional cylindrical dielectric resonator antenna. IEEE Antennas Wirel Propag Lett 12:710–713

    Google Scholar 

  • Panduro MA, Brizuela CA, Balderas LI, Acosta DA (2009) A comparison of genetic algorithms, particle swarm optimization, and the differential evolution method for the design of scannable circular antenna arrays. Prog Electromagn Res B 13:171–186

    Google Scholar 

  • Petko JS, Werner DH (2008) The Pareto optimization of ultrawideband polyfractal arrays. IEEE Trans Antennas Propag 56(1):97–107

    Google Scholar 

  • Rahmat-Samii Y, Michielssen E (eds) (1999) Electromagnetic optimization by genetic algorithms. Wiley, New York

    MATH  Google Scholar 

  • Rajo-Iglesias E, Quevedo-Teruel O (2007) Linear array synthesis using an ant-colony-optimization-based algorithm. IEEE Antennas Propag Mag 49(2):70–79

    Google Scholar 

  • Robinson J, Rahmat-Samii Y (2004) Particle swarm optimization in electromagnetics. IEEE Trans Antennas Propag 52(2):397–407

    MathSciNet  MATH  Google Scholar 

  • Rocca P, Manica L, Stringari F, Massa A (2008) Ant colony optimisation for tree-searching-based synthesis of monopulse array antenna. IEEE Electron Lett 44(13):783–785

    Google Scholar 

  • Rocca P, Oliveri G, Massa A (2011) Differential evolution as applied to electromagnetics. IEEE Antennas Propag Mag 53(1):38–49

    Google Scholar 

  • Santarelli S, Yu T, Goldberg DE, Altshuler E, O’Donnell T, Southall H, Mailloux R (2006) Military antenna design using simple and competent genetic algorithms. J Math Comput Model 43:991–1022

    MathSciNet  MATH  Google Scholar 

  • Schurig D, Mock JJ, Smith DR (2006) Electric-field-coupled resonators for negative permittivity metamaterials. Appl Phys Lett 88(4):041109(1)–041109(3)

    Google Scholar 

  • Shahvarpour A, Caloz C, Alvarez-Melcon A (2011) Broadband and low-beam squint leaky radiation from a uniaxially anisotropic grounded slab. Radio Sci 46:4006(1)–4006(13)

    Google Scholar 

  • Spence TG, Werner DH (2006) A novel miniature broadband/multiband antenna based on an end-loaded planar open-sleeve dipole. IEEE Trans Antennas Propag 54(12):3614–3620

    Google Scholar 

  • Spence TG, Werner DH (2008) Design of broadband planar arrays based on the optimization of aperiodic tilings. IEEE Trans Antennas Propag 56(1):76–86

    Google Scholar 

  • Storn R, Price K (1997) Differential evolution – a simple and effective heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359

    MathSciNet  MATH  Google Scholar 

  • Sun Y, Chen ZN, Zhang Y, Chen H, See TSP (2012) Subwavelength substrate-integrated Fabry-Pérot cavity antennas using artificial magnetic conductor. IEEE Trans Antennas Propag 60(1):30–35

    Google Scholar 

  • Thors B, Steyskal H, Holter H (2005) Broad-band fragmented aperture phased array element design using genetic algorithms. IEEE Trans Antennas Propag 53(10):3280–3287

    Google Scholar 

  • Turpin JP, Massoud AT, Jiang ZH, Werner PL, Werner DH (2010) Conformal mappings to achieve simple material parameters for transformation optics devices. Opt Express 18(1):244–252

    Google Scholar 

  • Villegas FJ, Cwik T, Rahmat-Samii Y, Manteghi M (2004) A parallel electromagnetic genetic-algorithm optimization (EGO) application for patch antenna design. IEEE Trans Antennas Propag 52(9):2424–2435

    Google Scholar 

  • Volakis J (ed) (2007) Antenna engineering handbook, 4th edn. McGraw-Hill Professional, New York

    Google Scholar 

  • Volakis JL, Chen C-C, Fujimoto K (2010) Small antennas: miniaturization techniques and applications, 1st edn. McGraw-Hill, New York

    Google Scholar 

  • Wang KL, Yang KP (1998) Modified planar inverted F antenna. IEEE Electron Lett 34(1):7–8

    Google Scholar 

  • Wang W, Gong S, Wang X, Jiang W (2010) Differential evolution algorithm and method of moments for the design of low-RCS antenna. IEEE Antennas Wirel Propag Lett 9:295–298

    Google Scholar 

  • Weile DS, Michielssen E (1996) Integer coded Pareto genetic algorithm design of constrained antenna arrays. IEEE Electron Lett 32(19):1744–1745

    Google Scholar 

  • Weile DS, Michielssen E (1997) Genetic algorithm optimization applied to electromagnetics: a review. IEEE Trans Antennas Propag 45(3):343–353

    Google Scholar 

  • Werner DH, Werner PL, Church KH (2001) Genetically engineered multiband fractal antennas. IEEE Electron Lett 37(19):1150–1151

    Google Scholar 

  • Werner PL, Bayraktar Z, Rybicki B, Werner DH, Schlager KJ, Linden D (2008) Stub-loaded long-wire monopoles optimized for high gain performance. IEEE Trans Antennas Propag 56(3):639–644

    Google Scholar 

  • Wu K, Cheng YJ, Hong W (2012) Substrate-integrated millimeter-wave and terahertz antenna technology. Proc IEEE 100(7):2219–2232

    Google Scholar 

  • Zhang Y, Chen ZN, Qing X, Hong W (2011) Wideband millimeter-wave substrate integrated waveguide slotted narrow-wall fed cavity antennas. IEEE Trans Antennas Propag 59(5):1488–1496

    Google Scholar 

  • Zhang L, Jiao Y-C, Chen B, Wang Z-B (2012) Optimization of non-uniform circular arrays with covariance matrix adaptation evolutionary strategy. Prog Electromagn Res C 28:113–126

    Google Scholar 

  • Zhang F, Jia W, Yao M (2013) Linear aperiodic array synthesis using differential evolution algorithm. IEEE Antennas Wirel Propag Lett 12:797–800

    Google Scholar 

  • Ziolkowski RW (2004) Propagation in and scattering from a matched metamaterial having a zero index of refraction. Phys Rev E 70(10):046608(1)–046608(12)

    Google Scholar 

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Werner, D., Gregory, M., Jiang, Z.H., Brocker, D.E. (2016). Optimization Methods in Antenna Engineering. In: Chen, Z., Liu, D., Nakano, H., Qing, X., Zwick, T. (eds) Handbook of Antenna Technologies. Springer, Singapore. https://doi.org/10.1007/978-981-4560-44-3_15

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