Abstract
In this paper, analytical modeling of natural modes is proposed for the rapid and accurate analysis of various high impedance surfaces (HIS) composed of dense grids of frequency selective surface (FSS) elements printed on an electrically thin grounded dielectric slab, and on a wire media slab. The dynamic model of the grid is based on the homogenized surface impedance, which is obtained from the full-wave solution in a spectral domain. The homogenization model of mushroom like HIS structures consists of local model of the wire media slab (based on the epsilon-negative (ENG) approximation) and dynamic model of the grid. This enables one to accurately capture the physics of surface-wave propagation in the resonance band of HIS structures within the limits of homogenization.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Sievenpiper, D., L. Zhang, R. F. J. Broas, N. G. Alexopolous, and E. Yablonovitch: High-impedance electromagnetic surfaces with a forbidden frequency band. IEEE Trans. Microw. Theory Tech., 47, 2059–2074 (1999).
Sievenpiper, D., High-impedance electromagnetic surfaces, Ph.D. dissertation, University of California, Los Angeles, CA (1999).
Zhang, Y., J. von Hagen, M. Younis, C. Fischer, and W. Weisbeck: Planar artificial magnetic conductors and patch antennas. IEEE Trans. Antenn. Propag., 51, 2704–2712 (2003).
Goussetis, G., A. P. Feresidis, and J. C. Vardaxoglou: Tailoring the AMC and EBG characteristics of periodic metallic arrays printed on grounded dielectric substrate. IEEE Trans. Antenn. Propag., 54, 82–89 (2006).
Maci, S. and P.-S. Kildal: Hard and soft Gangbuster surfaces. Proceedings of URSI International Symposium on Electromagnetic Theory, Pisa, Italy, 290–292 (2004).
Maci, S., M. Caiazzo, A. Cucini, and M. Casaletti: A pole-zero matching method for EBG surfaces composed of a dipole FSS printed on a grounded dielectric slab. IEEE Trans. Antenn. Propag., 53, 70–81 (2005).
Goussetis, G., Y. Guo, A. P. Feresidis, and J. C. Vardaxoglou: Miniaturized and multi-band artificial magnetic conductors and electromagnetic band gap surfaces. Proceedings of IEEE Antennas Propagation Society International Symposium, 1, 293–296 (2004).
Hiranandani, M., A. B. Yakovlev, and A. A. Kishk,: Artificial magnetic conductors realized by frequency selective surfaces on a grounded dielectric slab for antenna applications. IEE Proc.-Microw. Antenn. Propag. (Part H), 153, 487–493 (2006).
Kern, D. J., D. H. Werner, A. Monorchio, L. Lanuzza, and M. J. Wilhelm: The design synthesis of multiband artificial magnetic conductors using high impedance frequency selective surfaces. IEEE Trans. Antenn. Propag., 53, 8–17 (2005).
Yang, H.-Y. D., R. Kim, and D. R. Jackson: Design consideration for modeless integrated circuit substrates using planar periodic patches. IEEE Trans. Microw. Theory Tech., 48, 2233–2239 (2000).
Grbic, A. and G. V. Eleftheriades: Dispersion analysis of a microstrip-based negative refractive index periodic structures. IEEE Microw. Wireless Comp. Lett., 13, 155–157 (2003).
Clavijo, S., R. E. Diaz, and W. E. Mckinzie, III: High-impedance surfaces: An artificial magnetic conductor for a positive gain electrically small antennas. IEEE Trans. Antenn. Propag., 51, 2678–2690 (2003).
Bozzi, M., S. Germani, L. Minelli, L. Perregrini, and P. de Maagt: Efficient calculation of the dispersion diagram of planar electromagnetic band-gap structures by the MoM/BI-RME method. IEEE Trans. Antenn. Propag., 53, 29–35 (2005).
Baccarelli, P., S. Paulotto, and C. Di Nallo: Full-wave analysis of bound and leaky modes propagating along 2D periodic printed structures with arbitrary metallisation in the unit cell. IET Microw. Antenn. Propag., 1, 217–225 (2007).
Tretyakov, S. A. and C. R. Simovski: Dynamic model of artificial impedance surfaces. JEMWA, 17, 131–145 (2003).
Simovski, C. R., P. de Maagt, S. A. Tretyakov, M. Paquay, and A. A. Sochava: Angular stabilization of resonant frequency of artificial magnetic conductors for TE-incidence. Electron. Lett., 40, 92–93 (2004).
Simovski, C. R., P. de Maagt, and I. V. Melchakova: High-impedance surfaces having stable resonance with respect to polarization and incidence angle. IEEE Trans. Antenn. Propag., 53, 908–914 (2005).
Luukkonen, O., C. Simovski, G. Granet, G. Goussetis, D. Lioubtchenko, A. Räisänen, and S. Tretyakov: Simple and accurate analytical model of planar grids and high-impedance surfaces comprising metal strips or patches. IEEE Trans. Antenn. Propagat., 56, 1624–1632 (2008).
Luukkonen, O., C. Simovski, A. Räisänen, and S. Tretyakov: An efficient and simple analytical model for the analysis of propagation properties in impedance waveguides. IEEE Trans. Microw. Theory Tech., 56, 1624–1632 (2008).
Tretyakov, S. A., Analytical Modeling in Applied Electromagnetics, Artech House, Boston, MA (2003).
Hessel, A., General characteristics of traveling-wave antennas, ch. 19, in R. E. Collin and F. J. Zucker, Antenna Theory, McGraw-Hill, New York (1969).
HFSS: High Frequency Structure Simulator based on the Finite Element Method, v. 9.2.1, Ansoft Corporation (2004).
Belov, P., R. Marqués, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov: Strong spatial dispersion in wire media in the very large wavelength limit, Phys. Rev. B, 67, 113103 (2003).
Silveirinha. M. G., C. A. Fernandes, and J. R. Costa: Electromagnetic characterization of textured surfaces formed by metallic pins, IEEE Trans. Antenn. Propag., 56, 405–415 (2008).
Silveirinha, M.: Nonlocal homogenization model for a periodic array of epsilon-negative rods, Phys. Rev. E, 73, 046612(1–10) (2006).
Silveirinha, M. and C. A. Fernandes: Homogenization of 3D-connected and non-connected wire metamaterials, IEEE Trans. Microw. Theory Tech., 53, 1418–1430 (2005).
Silveirinha, M.: Additional boundary condition for the wire medium, IEEE Trans. Antenn. Propag., 54, 1766 (2006).
Marcuvitz, N., Waveguide Handbook, Peter Peregrinus, London, UK (1986).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yakovlev, A.B. et al. (2009). Analytical Modeling of Surface Waves on High Impedance Surfaces. In: Zouhdi, S., Sihvola, A., Vinogradov, A.P. (eds) Metamaterials and Plasmonics: Fundamentals, Modelling, Applications. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9407-1_18
Download citation
DOI: https://doi.org/10.1007/978-1-4020-9407-1_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9406-4
Online ISBN: 978-1-4020-9407-1
eBook Packages: EngineeringEngineering (R0)