Vol. 65

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A Triple Wire Medium as an Isotropic Negative Permittivity Metamaterial

By Martin Hudlicka, Jan Machac, and Igor Nefedov
Progress In Electromagnetics Research, Vol. 65, 233-246, 2006


This paper presents an effective medium approach to calculate the attenuation and phase constants of modes in a 3D connected wire medium both below and above the plasma frequency. Physical and nonphysical modes in the structure are identified for all the important lattice directions. According to this, the medium behaves as an isotropic material in the vicinity of the plasma frequency. These results were compared with the numerical simulation and it was observed that the wave spreads below the plasma frequency along all the important lattice directions with the same attenuation constant. This implies isotropic behavior of the 3D wire lattice below the plasma frequency, and thus this medium can be considered as an isotropic negative permittivity medium.


 (See works that cites this article)
Martin Hudlicka, Jan Machac, and Igor Nefedov, "A Triple Wire Medium as an Isotropic Negative Permittivity Metamaterial," Progress In Electromagnetics Research, Vol. 65, 233-246, 2006.


    1. Brown, J., "Artificial dielectrics," Progress in Dielectr., Vol. 2, 193-225, 1960.

    2. Rotman, W., "Plasma simulation by artificial dielectrics and parallel-plate media," IRE Trans. Antennas Propag., Vol. 10, 82-84, 1962.

    3. King, R., D. Thiel, and K. Park, "The synthesis of surface reactance using an artificial dielectric," IEEE Trans. Antennas Propag., Vol. 31, 471-476, 1983.

    4. Belov, P . A., S. A. Tretyakov, and A. J. Viitanen, "Dispersion and reflection properties of artificial media formed by regular lattices of ideally conducting wires," Journal of Electrom. Waves and Applic., Vol. 16, No. 8, 1153-1170, 2002.

    5. Nefedov, I. S. and A. J. Viitanen, "Guided waves in uniaxial wire medium slab," Progress In Electromagnetics Research, Vol. 51, 167-185, 2005.

    6. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett., Vol. 76, 4773-4776, 1996.

    7. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys.: Condens. Matter, Vol. 10, No. 22, 4785-4809, 1998.

    8. Sievenpiper, D. F., M. E. Sickmiller, and E. Yablonovitch, "3D wire mesh photonic crystals," Phys. Rev. Lett., Vol. 76, 2480-2483, 1996.

    9. Belov, P. A., R. Marques, 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, Vol. 67, 2003.

    10. Silveirinha, M. G. and C. A. Fernandes, "Homogenization of 3-Dconnected and nonconnected wire metamaterials," IEEE Trans. Microwave Theory and Techn., Vol. 53, 1418-1430, 2005.

    11. Simovski, C. R. and P. A. Belov, "Low-frequency spatial dispersion in wire media," Phys. Rev. E, Vol. 70, 0466161-1, 2004.

    12. Nefedov, I. S., A. J. Viitanen, and S. A. Tretyakov, "Propagating and evanescent modes in two-dimensional wire media," Phys. Rev. E, Vol. 71, 046612-1, 2005.

    13. Nefedov, I. S., X. Dardenne, C. Craye, and S. A. Tretyakov, "Backward waves in a waveguide, filled with wire media," Microwave and Opt. Techn. Lett..

    14. Ikonen, P ., M. Lapine, I. S. Nefedov, and S. A. Tretyakov, "Vector circuit theory for spatially dispersive uniaxial magneto-dielectric slabs," Progress In Electromagnetics Research, Vol. 63, 279-294, 2006.

    15. Dougherty, C., Electrodynamics of Particles and Plasmas, 175-178, Addison-Wesley, Reading, MA, 1969.

    16. Shapiro, M. A., G. Shvets, J. R. Sirigiri, and R. J. Temkin, "Spatial dispersion in metamaterials with negative dielectric permittivity and its effect on surface waves," Optics Express, Vol. 31, 2051-2053, 2006.

    17. Microwave Studio, Ver. 5.1, Computer Simulation Technology, Darmstadt, Germany, 2005.

    18. Tretyakov, S. A., Analytical Modeling in Applied Electromagnetics, Artech House, Norwood, MA, 2003.

    19. Smith, D. R., D. C. Vier, N. Kroll, and S. Schultz, "Direct calculation of permeability and permittivity for a left-handed metamaterial," Applied Phys. Lett., Vol. 77, No. 14, 2246-2248, 2000.

    20. Balanis, C. A., Antenna Theory Analysis and Design, John Wiley, New York, 1997.