Vol. 21

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2011-09-14

A New Accurate Model of High-Impedance Surfaces Consisting of Circular Patches

By Davide Ramaccia, Alessandro Toscano, and Filiberto Bilotti
Progress In Electromagnetics Research M, Vol. 21, 1-17, 2011
doi:10.2528/PIERM11050909

Abstract

In this paper, we consider a dense array of metallic circular patches printed on a electrically thin metal-backed dielectric substrate. Since the sub-wavelength dimensions, the array and the metal-backed substrate can be described in terms of a lumped capacitance and a lumped inductance, respectively. Around the resonant frequency, the structure, known as high-impedance surface, reflects totally an incident electromagnetic wave with zero shift in phase. Due to this property, it is widely employed in antenna systems as compact back reflector with improved performances with respect to typical metal reflector. Starting from the concept of the grid capacitive reactance of a planar array of squared patches and its related formulas, we investigate on the field distribution on the array plane and properly modify the formulas for the case of the circular patches. We present two new analytical formulas which can be effectively used for the fast design of 2D-isotropic circular HISs. In order to validate the models, we compare the resonant frequency of the array obtained through our approaches to the one resulting from full-wave numerical simulations and from other analytical methods available in the open technical literature.

Citation


Davide Ramaccia, Alessandro Toscano, and Filiberto Bilotti, "A New Accurate Model of High-Impedance Surfaces Consisting of Circular Patches," Progress In Electromagnetics Research M, Vol. 21, 1-17, 2011.
doi:10.2528/PIERM11050909
http://jpier.org/PIERM/pier.php?paper=11050909

References


    1. Bilotti, F., A. Toscano, and L. Vegni, "FEM-BEM formulation for FEM-BEM formulation for," IEEE Trans. Antennas Propagat., Vol. 51, 306-311, 2003.
    doi:10.1109/TAP.2003.809076

    2. Bilotti, F., A. Toscano, and L. Vegni, "Radiation and scattering features of patch antennas with bianisotropic substrates," IEEE Trans. Antennas Propagat., Vol. 51, 449-456, 2003.
    doi:10.1109/TAP.2003.809837

    3. Scamarcio, G., F. Bilotti, A. Toscano, and L. Vegni, "Broad band U-slot patch antenna loaded by chiral material," Journal of Electromagnetic Waves and Applications, Vol. 15, No. 10, 1303-1317, 2001.
    doi:10.1163/156939301X01192

    4. Bilotti, F. and L. Vegni, "Chiral cover effects on microstrip antennas," IEEE Trans. Antennas Propagat., Vol. 51, 2891-2898, 2003.
    doi:10.1109/TAP.2003.816317

    5. Vegni, L., A. Toscano, and F. Bilotti, "Shielding and radiation characteristics of planar layered inhomogeneous composites," IEEE Trans. Antennas Propagat., Vol. 51, 2869-2877, 2003.
    doi:10.1109/TAP.2002.802099

    6. Ziolkowski, R. W. and N. Engheta, "Metamaterial special issue introduction," IEEE Trans. Antennas Propagat., Vol. 51, No. 10, 2546-2549, 2003.
    doi:10.1109/TAP.2003.818317

    7. Vardaxoglou, J. C., Frequency Selective Surfaces: Analysis and Design, Research Studies Press, Taunton, England, 1997.

    8. Bilotti, F. , A. Alµu, N. Engheta, and L. Vegni, "Anomalous properties of scattering from cavities partially loaded with double-negative or single-negative metamaterials," Progress In Electromagnetics Research, Vol. 51, 49-63, 2005.
    doi:10.2528/PIER04041401

    9. Bilotti, F., L. Nucci, and L. Vegni, "An SRR based microwave absorber," Microw. Opt. Technol. Lett., Vol. 48, 2171-2175, 2006.
    doi:10.1002/mop.21891

    10. Bilotti, L., A. Toscano, L. Vegni, K. B. Alici, K. Aydin, and E. Ozbay, "Equivalent circuit models for the design of metamaterials based on artificial magnetic inclusions," IEEE Trans. Microw. Theory Tech., Vol. 55, 2865-2873, 2007.
    doi:10.1109/TMTT.2007.909611

    11. Alµu, A., F. Bilotti, N. Engheta, and L. Vegni, "Sub-Wavelength planar leaky-wave components with metamaterial bilayers," IEEE Trans. Antennas Propagat., Vol. 55, 882-891, 2007.

    12. Bilotti, F., S. Tricarico, and L. Vegni, "Electromagnetic cloaking devices for TE and TM polarizations," New J. Phys., Vol. 10, 115035, 2008.
    doi:10.1088/1367-2630/10/11/115035

    13. Bilotti, F., A. Toscano, K. B. Alici, E. Ozbay, and L. Vegni, "Design of miniaturized narrowband absorbers based on resonant magnetic inclusions," IEEE Trans. Electromag. Comp., Vol. 53, 63-72, Feb. 2011.
    doi:10.1109/TEMC.2010.2051229

    14. Ramaccia, D., F. Bilotti, and A. Toscano, "Analytical model of a metasurface consisting of a regular array of subwavelenght circular holes in a metal sheet," Progress In Electromagnetics Research M, Vol. 18, 209-219, 2011.

    15. Sievenpiper, D., L. Zhang, R. F. J. Broas, N. Alexopolous, and E. Yablonovitch, "High-impedance electromagnetic surfaces with a forbidden frequency band," IEEE Trans. Microw. Theory Tech., Vol. 47, 2059-2074, 1999.
    doi:10.1109/22.798001

    16. Sievenpiper, D., "High-impedance electromagnetic surfaces,", Ph.D. Dissertation, UCLA, 1999. Available at www.ee.ucla.edu/labs/photon/thesis/ThesisDan.pdf.

    17. De Cos, M. E. , Y. Alvarez Lopez, and F. Las-Heras Andres, "A novel approach for RCS reduction using a combination of artificial magnetic conductors," Progress In Electromagnetics Research, Vol. 107, 147-159, 2010.
    doi:10.2528/PIER10060402

    18. Chang, C.-S., J.-Y. Li, W.-J. Lin, M.-P. Houng, L.-S. Chen, and D.-B. Lin, "Controlling the frequency of simultaneous switching noise suppression by using embedded dielectric resonators in high-impedance surface structure," Progress In Electromagnetics Research Letters, Vol. 11, 149-158, 2009.
    doi:10.2528/PIERL09082406

    19. De Cos, M. E. , Y. Alvarez Lopez, R. C. Hadarig, and F. Las-Heras Andres, "Flexible uniplanar artificial magnetic conductor," Progress In Electromagnetics Research, Vol. 106, 349-362, 2010.
    doi:10.2528/PIER10061505

    20. Sievenpiper, D., E. Yablonovitch, J. N. Winn, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, "3D metallo-dielectric photonic crystals with strong capacitive coupling between metallic islands," Phys. Rev. Lett., Vol. 80, 2829-2832, 1998.
    doi:10.1103/PhysRevLett.80.2829

    21. Zarrillo, G. and K. Aguiar, "Closed-form low frequency solutions for electromagnetic waves through a frequency selective surface," IEEE Trans. Antennas Propagat., Vol. 35, No. 12, 1987.
    doi:10.1109/TAP.1987.1144035

    22. Tretyakov, S. A., "Analytical Modeling in Applied Electromagnetics," Artech House, 2003.

    23. Viitanen, A. J., I. Hanninen, and S. A. Tretyakov, "Analytical model for regular dense arrays of planar dipole scatterers," Progress In Electromagnetics Research, Vol. 38, 97-110, 2002.
    doi:10.2528/PIER02091601

    24. Luukkonen, O., C. R. Simovsky, G. Granet, G. Goussetis, D. Lioubtchenko, A. Raisanen, and S. A. Tretyakov, "Simple and accurate analytical model of planar grids and high-impedance surfaces comprising metal strips," IEEE Trans. Antennas Propagat., Vol. 56, 1624-1632, 2008.
    doi:10.1109/TAP.2008.923327

    25. Lee, S., G. Zarrillo, and C. L. Law, "Simple formulas for transmission trough periodic metal grids or plattes," IEEE Trans. Antennas Propagat., Vol. 30, No. 5, 1982.

    26. CST Studio Suite 2010, Computer Simulation Technology, , http://www.cst.com.

    27. Compton, R. C., L. B. Whitbourn, and R. C. McPhedran, "Strip gratings at a dielectric interface and applications of Babinet's principle," Appl. Opt., Vol. 23, 3236-3242, 1984.
    doi:10.1364/AO.23.003236

    28. Timusk, T. and P. L. Richards, "Near millimeter wave bandpass filters," Appl. Opt., Vol. 20, 1355-1360, 1981.
    doi:10.1364/AO.20.001355