An Effective Model for Wire Medium Based on the 4th Order Dispersion Equation

Abstract:

In this paper, the wire medium made of parallel thin wires is studied by using the FDTD method incorporating the sub-cell technique of thin wire. The conventional effective model for the wire medium is based on the 2th order dispersion equations; and it becomes inaccurate in describing the EM behavior of wire medium when the transversal spatial harmonics becomes high. A new effective model is proposed based on the 4th order dispersion equations and surface fitting, which guarantees the modeling accuracy for higher spatial harmonics.

• Periodical: Advanced Materials Research (Volume 936)
• Pages: 2225-2229
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.936.2225
• Online since: June 2014
• Authors: Zhun Yang, Wei Song*, Xin Qing Sheng
• Keywords: 4th Order Dispersion Equation, Effective Model, Wire Medium

References

[1] Pavel A. Belov, Constantin R. Simovski, and Pekka Ikonen, Canalization of subwavelength images by electromagnetic crystals, Phys. Rev. B 71(19), 193105(2005).

DOI: 10.1103/physrevb.71.193105

[2] Pavel A. Belov, Yang Hao, and Sunil Sudhakaran, Subwavelength microwave imaging using an array of parallel conducting wires as a lens, Phys. Rev. B 73(3), 033108 (2006).

DOI: 10.1103/physrevb.73.033108

[3] Yan Zhao, Pavel A. Belov, and Yang Hao, Spatially dispersive finite-difference time-domain analysis of sub-wavelength imaging by the wire medium slabs, Opt. Express. 14(12), 5154-5167 (2006).

DOI: 10.1364/oe.14.005154

[4] Yan Zhao, Pavel A. Belov, and Yang Hao, Modelling of wave propagation in wire media using spatially dispersive Finite-Difference Time-Domain method: numerical aspects, IEEE Trans. Antennas Propag. 55(6), 1506-1513 (2007).

DOI: 10.1109/tap.2007.897320

[5] Pavel A. Belov, Yan Zhao, Simon Tse, Pekka Ikonen, Mário G. Silveirinha, Constantin R. Simovski, Sergei Tretyakov, Yang Hao, and Clive Parini, Transmission of images with subwavelength resolution to distances of several wavelengths in the microwave range, Phys. Rev. B 77(19), 193108 (2008).

DOI: 10.1103/physrevb.77.193108

[6] P. A. Belov, S. A. Tretyakov, and A. J. Viitanen, Dispersion and reflection properties of artificial media formed by regular lattices of ideally conducting wires, J. of Electromagn. Waves and Appl. 16(8), 1153–1170 (2002).

DOI: 10.1163/156939302x00688

[7] P. A. Belov, 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 67(11), 113103 (2003).

DOI: 10.1142/9789812704344_0025

[8] Mário G. Silveirinha, Additional boundary condition for the wire medium, IEEE Trans. Antennas Propag. 54(6), 1766-1780 (2006).

DOI: 10.1109/tap.2006.875920

[9] Pavel A. Belov, and Mário G. Silveirinha, Resolution of subwavelength transmission devices formed by a wire medium, Phys. Rev. E 73(5), 056607 (2006).

DOI: 10.1103/physreve.73.056607

[10] Riku M. Mäkinen, Jaakko S. Juntunen, and Markku A. Kivikoski, An improved thin-wire model for FDTD, IEEE Trans. Microw. Theory Tech. 50(5), 1245-1255 (2002).

DOI: 10.1109/22.999136