Abstract
This chapter encompasses the journey over the past several years of the group’s efforts to design metamaterials for advanced electromagnetic applications utilizing genetic programming (GP). Starting with the initial work in designing, validating, and characterizing metamaterials for use in ultra-wideband ground plane applications based on human expertise, the need for an optimized design methodology is identified. Next, the rationale to investigate the use of GP for metamaterial design because of its potential to lead to novel and ill-logical structures is explained. Then, the development of the GP software and its resulting metamaterial designs are presented detailing the evolution of the developed GP software over time as different applications were explored. Finally, the results of the experimental validation of the GP-generated designs along with a procedure to characterize their novel, non-intuitive design structures through the use of Prony’s method and equivalent circuit models are presented.
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References
J.R. Koza, F.H. Bennet, D. Andre, M.A. Keane, Genetic Programming III: Darwinian Invention and Problem Solving (Morgan Kaufmann Publishers, San Francisco, CA, 1999)
M. Brameier, W. Banzhaf, Linear Genetic Programming (Springer Science +Business Media, LLC, New York, NY, USA, 2007)
W.B. Langdon, R. Poli, Foundations of Genetic Programming (Springer Science +Business Media, LLC, New York, NY, USA, 2002)
P.G. Espejo, S. Venture, F. Herrera, A survey on the application of genetic programming to classification. IEEE Trans. Syst. Man Cybern. 40, 121–144 (2010)
M. Brameier, W. Banzhaf, A comparison of linear genetic programming and neural networks in medical data mining. IEEE Trans. Evol. Comput. 5, 17–26 (2001)
J. Kobashigawa, H.S. Youn, M. Iskander, Z. Yun, Comparative study of genetic programming vs. neural networks for the classification of buried objects, in IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, North Charleston, SC, USA, pp 1–4, 1–5 June 2009. https://doi.org/10.1109/APS.2009.5172386
P.J. Williams, T.C.A. Molteno, A comparison of genetic programming with genetic algorithms for wire antenna design. Int. J. Antennas Propag 2008, 197849 (2008)
W. Comisky, J. Yu, J.R. Koza, Automatic synthesis of a wire antenna using genetic programming, in Genetic and evolutionary computation conference, Las Vegas, NV, USA, July 8–12, 2000
HFSS-Matlab-Scripting-API Toolbox – accessible from https://www.cresis.ku.edu/~rvc/projects/hfssapi/doc/hfss-matlab-ap
S. Silva, GPLAB- a genetic programming toolbox for MATLAB, ECOS - Evolutionary and Complex Systems Group, University of Coimbra, Portugal, 2009 – accessible from http://gplab.sourceforge.net
J.S.K. Nakatsu, Genetic programming applications in electromagnetics. Masters Thesis, University of Hawaii, 2012
P. Prusinkiewicz, A. Lindenmayer, The Algorithmic Beauty of Plants (Springer-Verlag, New York, NY, USA, 1990)
D.J. Kern, Advancements in artificial magnetic conductor design for improved performance and antenna applications. Ph.D. Dissertation, The Pennsylvania State University, 2009
J.M. Bell, M.F. Iskander, J.J. Lee, Ultrawideband hybrid EBG/ferrite ground plane for low-profile array antennas. IEEE Trans. Antennas Propag. 55(1), 4–12 (2007)
J.M. Bell, M.F. Iskander, Experimental analysis of an ultrawide-band hybrid EBG/ferrite ground plane. IEEE Trans. Instrum. Meas. 58(8), 2899–2905 (2009)
J.M. Bell, M.F. Iskander, Equivalent circuit model of an ultrawideband hybrid EBG/ferrite structure. IEEE Antennas Wirel. Propag. Lett 7, 573–576 (2008)
D. Sievenpiper, High-impedance electromagnetic surfaces. Ph.D. Dissertation, University of California, Los Angeles, 1999
J.J. Lee, S. Livingston, R. Koenig, Wide band long slot array antennas, in IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Columbus, Ohio, pp. 452–455, 22–27 June 2003
IEEE Recommended Practice for Radio-Frequency (RF) Absorber Evaluation in the Range of 30 MHz to 5 GHz, Apr. 1998. Available: IEEE Standard 1128-1998
S.A. Tretyakov, C.R. Simovski, Dynamic model of artificial reactive impedance surfaces. J. Electromagn. Waves Appl 17, 131–145 (2003)
Tomlab Optimization Inc., TOMLAB Optimization Environment – accessible from http://tomopt.com/tomlab
J. Rayno, Development and application of Genetic Programming (GP) in design and optimization of Ultra-wideband (UWB) 3D metamaterials. Ph.D. Dissertation, University of Hawaii, 2016
L. Deias, G. Mazzarella, N. Sirena, EBG substrate synthesis for 2.45 GHz applications using Genetic Programming, in IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Toronto, Canada, 11–17 July 2010
F. Asole, L. Deias, G. Mazzarella, A flexible fullwave analysis of multilayered AMC using an aperture oriented approach. J. Electromagn. Waves Appl. 21(14), 2059–2072 (2007)
J. Rayno, J. Nakatsu, G. Huang, N. Celik, M. Iskander, 3D metamaterial broadband ground plane designed using genetic programming for the long slot array antenna, in IEEE InternationalSymposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Orlando, Florida, pp. 400–401, 7–12 July 2013
J. Rayno, M. Iskander, N. Celik, Synthesis of broadband true-3D metamaterial artificial magnetic conductor ground planes using genetic programming. IEEE Trans. Antennas Propag. 62, 5732–5744 (2014)
Y. Rahmat-Samii, F. Yang, Electromagnetic Band Gap Structures in Antenna Engineering (Cambridge Univ. Press, Cambridge, UK, 2009)
A. Foroozesh, L. Shafai, Investigation into the application of artificial magnetic conductors to bandwidth broadening, gain enhancement and beam shaping of low profile and conventional monopole antennas. IEEE Trans. Antennas Propag. 59, 4–20 (2011)
D. Sievenpiper, Review of theory fabrication, applications of high-impedance ground planes, in Metamaterials: Physics and Engineering Explorations (Wiley, Hoboken, NJ, USA, 2006)
Y.E. Erdemli, K. Sertel, R.A. Gilbert, D.E. Wright, J.L. Volakis, Frequency-selective surfaces to enhance performance of broad-band reconfigurable arrays. IEEE Trans. Antennas Propag. 50, 1716–1724 (2002)
J.T. Rayno, S.K. Sharma, Spirograph planar monopole antenna (SPMA) providing unidirectional invariant radiation patterns by employing a broadband ground plane. IEEE Antennas Wirel. Propag. Lett 11, 1588–1591 (2012)
A. Monorchio, G. Manara, L. Lanuzza, Synthesis of artificial magnetic conductors by using multilayered frequency selective surfaces. IEEE Antennas Wirel. Propag. Lett 1, 196–199 (2002)
J. Rayno, M. Iskander, M. Kobayashi, Hybrid genetic programming with accelerating genetic algorithm optimizer for 3-D metamaterial design. IEEE Antennas Wirel. Propag. Lett 15, 1743–1746 (2016)
P.G. Alotto, C. Eranda, B. Brandstatter, G. Furntratt, C. Magele, G. Molinari, M. Nervi, K. Preis, M. Repetto, K.R. Richter, Stochastic algorithms in electromagnetic optimization. IEEE Trans. Magn. 34(5), 3674–3684 (1998)
S. Clemens, M.F. Iskander, Z. Yun, J. Rayno, Hybrid genetic programming for the development of metamaterials designs with improved characteristics. IEEE Antennas Wirel. Propag. Lett 17, 513–516 (2018)
M. Xie, Q. Guo, K. Huang, Design of a novel artificial magnetic conductor plane and its application for low-profile dipole, in International Conference Microwave Millimeter Wave Technology, Chengdu, China, pp. 2085–2087, 8–11 May 2010
M. de Cos, Y. Alvarez, F. Las-Heras, Novel broadband artificial magnetic conductor with hexagonal unit cell. IEEE Antennas Wirel. Propag. Lett 10, 615–618 (2011)
E. Torabi, A. Fallahi, A. Yahaghi, Evolutionary optimization of graphene-metal metasurfaces for tunable broadband terahertz absorption. IEEE Trans. Antennas Propag. 65(3), 1464–1467 (2017)
Y. Kim, F. Yang, A. Elsherbeni, Compact artificial magnetic conductor designs using planar square spiral geometries. Prog. Electromagn. Res. 77, 43–54 (2007)
S. Clemens, E. Chong, M.F. Iskander, Z. Yun, J. Brown, T. Ray. M. Nakamura, D. Nekoba, Hybrid genetic programming designed laser-induced graphene based absorber, in IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Denver, Colorado, pp. 1084–1085, 10–15 July 2022
J. Hao, J. Wang, X. Liu, W. Padilla, L. Zhou, M. Qiu, High performance optical absorber based on a plasmonic metamaterial. Appl. Phys. Lett. 96(25), 251104 (2010)
W. Guo, Y. Liu, T. Han, Ultra-broadband infrared metasurface absorber. Opt. Express 24(18), 20586–20592 (2016)
B. Sindhu, A. Kothuru, P. Sahatiya, S. Goel, S. Nandi, Laser-induced graphene printed wearable flexible antenna-based strain sensor for wireless human motion monitoring. IEEE Trans. Electron. Dev 68(7), 3189–3194 (2021)
P. Rewatkar, A. Kothuru, S. Goel, PDMS-based microfluidic glucose biofuel cell integrated with optimized laser-induced flexible graphene bioelectrodes. IEEE Tran. Electron. Dev 67(4), 1832–1838 (2020)
Z. Wan, N. Nguyen, Y. Gao, Q. Li, Laser induced graphene for biosensors. Sustain. Mater. Technol. 25, e00205 (2020)
Y. Yu, P. Joshi, J. Wu, A. Hu, Laser-induced carbon-based smart flexible sensor array for multi flavors detection. ACS Appl. Mater. Interfaces 10(40), 34005–34012 (2018)
Z. Easterbrook, E. Chong, S. Zhang, M. F. Iskander, Z. Yun, Broadband metamaterial design using carbon fiber and resistive sheet materials, in IEEE International Symposium on Antennas and USNC-URSI Radio Science Meeting, Portland, Oregon, 23–28 July 2023
S. Clemens, G. Huang, M. Iskander, Z. Yun, Measurement of hybrid genetic programming synthesized artificial magnetic conductors, in IEEE International Symposium on Antennas and propagation and USNC-URSI Radio Science Meeting, Atlanta, Georgia, pp. 1403–1404, 7–12 July 2019
G.C. Huang, S. Clemens, M.F. Iskander, Z. Yun, Analysis of GP-designed metamaterial using equivalent circuit model and Prony’s method. Electromagnetics 41(6), 381–339 (2021)
G.C. Huang, S. Clemens, M.F. Iskander, Z. Yun, Equivalent circuit models and Prony’s analysis of electromagnetic designs using genetic programming. IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Atlanta, Georgia, pp. 197–198, July 7–12, 2019
F. Costa, S. Genovesi, A. Monorchio, On the bandwidth of high-impedance frequency selective surfaces. IEEE Antennas Wirel. Propag. Lett 8, 1341–1344 (2009)
F. Costa, A. Monorchio, G. Manara, An equivalent-circuit modeling of high impedance surfaces employing arbitrarily shaped FSS. IEEE ICEAA, 852–855 (2009)
W.L. Ko, R. Mittra, A combination of FD-TD and Prony’s methods for analyzing microwave integrated circuits. IEEE Trans. Microw. Theory Tech 39(12), 2176–2181 (1991)
Acknowledgments
This material is based upon work supported by the National Science Foundation under IUCRC Award 1822213. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. We would also like to recognize the work of and express our appreciation for our colleagues, Jodie Bell, Jenny Rayno, Scott Clemens, Edmond Chong, and Gui Chao Huang, without whom this chapter would not be possible.
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Nakatsu, J.S.K., Iskander, M.F., Yun, Z. (2024). Development and Application of Genetic Programming for Advanced Metamaterial Designs. In: Lakhtakia, A., Furse, C.M., Mackay, T.G. (eds) The Advancing World of Applied Electromagnetics. Springer, Cham. https://doi.org/10.1007/978-3-031-39824-7_21
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