Skip to main content

A new efficient and proper modeling of isotropic/uniaxial anisotropic substrate specifications in design procedures of metasurfaces

  • Sara Moinzad (a1), Ali Abdolali (a1) and Bagher Noorbakhsh (a2)

Specifications of the substrates are among the most important and problematic parameters that still do not have proper models in the design procedures of metasurfaces. In this paper, a new fast and exact algorithm based on artificial neural networks (ANNs) is presented, which makes it possible to design frequency-selective surfaces (FSSs) on various kinds of standard substrates. Also for the first time, designing FSSs on uniaxial anisotropic substrates can be easily done in short time and without any optimization algorithms. During this paper, first equivalent geometry approach (EGA) is demonstrated as a new method of preparation the ANNs. Then EGA is used to train geometry transformation ANNs. The advantage of this approach is to reduce the size of training datasets by about 98% and prevent from superfluous simulations. Hence, the time needed for training of the networks is much less than before. Numerical results are used to show that the required time for developing FSSs is <200 ms on average, and errors are <2%. For the final validation, a prototype sample of FSS is fabricated on the RO4003 substrate with 20 mil thickness. Both analytical and experimental results confirm the correctness of the predicted values.

Corresponding author
Corresponding author: S. Moinzad Email:
Hide All
[1] Bayatpur, F.: Metamaterial-Inspired Frequency-Selective Surfaces, Diss., the University of Michigan, Ann Arbor, 2009.
[2] Kern, D.J.; Werner, D.H.; Lisovich, M.: Metaferrites: using electromagnetic bandgap structures to synthesize metamaterial ferrites. IEEE Trans. Antennas Propag., 53 (2005), 13821389.
[3] Monorchio, A.; Manara, G.: Synthesis of artificial magnetic conductors by using multilayered frequency selective surfaces. IEEE Antennas Wireless Propag. Lett., 1 (2002), 196199.
[4] Kiani, G.I.; Ford, K.L.; Esselle, K.P.; Wei, A.R.; Panagamuwa, C.J.: Oblique incidence performance of a novel frequency selective surface absorber. IEEE Trans. Antennas Propag., 55 (2007), 29312934.
[5] Munk, B.: Frequency Selective Surfaces: Theory and Design, Wiley, New York, 2000.
[6] Wu, T.: Frequency Selective Surface and Grid Array, Wiley, New York, 1995.
[7] Chandrika, S.; Madhu, A.R.; Mahesh, A.; Pillai, A.C.R.: FSS radomes for antenna RCS reduction. Int. J. Adv. Eng. Technol., 6 (2013), 4641473.
[8] Euler, M.; Fusco, V.; Cahill, R.; Dickie, R.: Comparison of frequency selective screen-based linear to circular split-ring polarization converters. IET Microw. Antennas Propag., 4 (2010), 17641772.
[9] Ma, B.; Xia, M.; Yan, L.: Design of a K-band reflectarray antenna using double square ring elements. Microw. Opt. Technol. Lett., 54 (2012), 394398.
[10] Abu, M.; Rahim, M.K.A.: Single-band and dual-band artificial magnetic conductor ground planes for multiband dipole antenna. Radio Eng., 21 (2012), 9991006.
[11] Foroozesh, A.; Shafai, L.: Investigation into the effects of the patch-type FSS superstrate on the high-gain cavity resonance antenna design. IEEE Trans. Antennas Propag., 58 (2010), 258270.
[12] Callaghan, P.; Parker, E.A.; Langley, R.J.: Influence of supporting dielectric layers on the transmission properties of frequency selective surfaces. IEE Proc. H, 138 (1991), 448454.
[13] Zhang, H., Lu, J., Sun, G.; Xiao, H.: Influence of substrate tolerances on transmission characteristics of frequency-selective surfaces. Chin. Opt. Lett., 6 (2008), 5456.
[14] Campos, A.L.P.S.; D'Assunção, A.G.; De Melo, M.A.B.: Frequency selective surfaces with anisotropic dielectric superstrates. Int. J. Infrared Millim. Waves, 21 (2000), 461475.
[15] Campos, A.L.P.S.; D'Assunção, A.G.; De Melo, M.A.B.: Scattering parameters of FSS on anisotropic layers at millimeter wave frequencies. Int. J. Infrared Millim. Waves, 23 (2002), 123133.
[16] Campos, A.L.P.S.; D'Assunção, A.G.; de Mendonça, L.M.: Scattering parameters of FSS on the substrate for TE and TM excitation. IEEE Trans. Microw. Theory Technol., 50 (2002), 7276.
[17] Boufrioua, A.; Benghalia, A.: Effects of the resistive patch and the uniaxial anisotropic substrate on the resonance frequency and the scattering radar cross section of rectangular microstrip antenna. Aerosp. Sci. Technol., 10 (2006), 217221.
[18] Lin, B.; Liu, S.; Yuan, N.: Analysis of frequency selective surfaces on electrically and mechanically anisotropic substrates. IEEE Trans. Antennas Propag., 54 (2006), 674680.
[19] Campos, A.L.P.S.; D'Assunção, A.G.: Frequency selective surfaces on iso/anisotropic substrates with dielectric losses. Microw. Opt. Technol. Lett., 49 (2007), 10411044.
[20] Fallahi, A.; Mishrikey, M.; Hafner, C.; Vahldieck, R.: Analysis of multilayer frequency selective surfaces on periodic and anisotropic substrates. Metamaterials, 3 (2009), 6374.
[21] Langley, R.J.; Parker, E.A.: Equivalent circuit model for arrays of square loops. Electron. Lett., 18 (1982), 294296.
[22] Lee, C.K.; Langley, R.J.: Equivalent circuit models for frequency selective surfaces at oblique angles of incidence. IEE Proc. H, 132 (1985), 395399.
[23] Kent, E.; Doken, B.; Kartal, M.: A new equivalent circuit based FSS design method by using a genetic algorithm, in Int. Conf. on Engineering Optimization, Lisbon, 2010, 14.
[24] Marcuvitz, N.: Waveguide Handbook, McGraw-Hill, New York, 1951.
[25] Gunes, F.; Demirel, S.; Nesil, S.: A novel design approach to x-band Minkowski reflectarray antenna using the full-wave em simulation-based complete neural model with a hybrid ga-nm algorithm. Radio Eng., 23 (2014), 144153.
[26] Silva, P.H.F.; Campos, A.L.P.S.: Fast and accurate modeling of frequency selective surfaces using a new modular neural network configuration of multilayer perceptrons. IET Microw. Antenna Propag., 2 (5) (2008), 503511.
[27] da Silva, M.R.; Nobrega, C.d.L.; Silva, P.H.d.F.; D'Assunção, A.G.: Optimization of FSS with Sierpinski island fractal elements using population-based search algorithms and MLP neural network. Microw. Opt. Technol. Lett., 56 (2014), 827831.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

International Journal of Microwave and Wireless Technologies
  • ISSN: 1759-0787
  • EISSN: 1759-0795
  • URL: /core/journals/international-journal-of-microwave-and-wireless-technologies
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 4
Total number of PDF views: 43 *
Loading metrics...

Abstract views

Total abstract views: 385 *
Loading metrics...

* Views captured on Cambridge Core between 14th November 2016 - 17th March 2018. This data will be updated every 24 hours.