Microwaves in Structured Metamaterials: Supeluminal, Slow, and Backward Waves

  • A. Ahmed Department of Physics, Addis Ababa University
  • V. N. Mal’nev Department of Physics, Addis Ababa University
  • B. Mesfin Department of Physics, Addis Ababa University
Keywords: structured metamaterials, supeluminal waves, slow waves, backward waves

Abstract

The dispersion properties of structured metamaterials consisting of strips of a copper wire (electron subsystem) and square copper split-ring resonators (magnetic subsystem) with different and coinciding resonant frequencies are studied. In a narrow frequency band above the resonant frequency of the electron subsystem, the structured metamaterial is described by a negative refractive index. In addition to this, there are some peculiar properties observed in these metamaterials. Among these properties is the nonanalytic behavior of the real part of the refractive index as a function of the frequency with a discontinuity of its derivative in the metamaterial with two resonances. It is also shown that the superluminal, slow, and backward microwaves can exist in the structured metamaterials. However, in the absence of gain components, only the slow microwaves can propagate considerably.

References

V.G. Veselago, Sov. Phys. Usp. 10, 509 (1968).

D.R. Smith, W.J. Padila, D.S. Vier, S.C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

R.A. Shelby, D.R. Smith, S.C. Nemat-Nasser, and S. Shultz, Appl. Phys. Lett. 78, 489 (2001).

T. Koschny, L. Zhang, and C.M. Soukoulis, Phys. Rev. B 71, 121103(R) (2005).

R.A. Shelby, D.R. Smith, and S. Shultz, Science 292, 77 (2001).

R.W. Boyd, J. Mod. Opt. 56, 1908 (2009).

P.W. Milonni, Fast Light, Slow Light and Left-Handed Light (IOP Publ., Bristol, 2005).

L.V. Haw, S.E. Harris, Z. Dutton, and C.H. Behroosi, Nature 307, 594 (1999).

L.J. Wang, A. Kuzmich, and A. Dogarlu, Nature 406, 277 (2000).

V.N. Mal'nev and Sisay Shewamare, Physica B 426, 52 (2013).

M. Kafesaki, T. Koschny, R.S. Penciu, T.F. Gundogdu, E.N. Economou, and C.M. Soukoulis, J. Opt. A: Pure Appl. Opt. 7 (2005).

J.Q. Shen, Phys. Rev. B 73, 045113 (2006).

J. Qui, H.Y. Yao, L.W. Li, S. Zoudi, and T.S. Yeo, Phys. Rev. B 75, 155120 (2001).

B. Mesfin, V.N. Mal'nev, E.V. Martysh, and Yu.G. Rapoport, Phys. of Plasmas 17, 112109 (2010).

S. Deb and D. Gupta, Pramana J. of Phys., 75, 837 (2010).

R.W. Ziolkovskii and E. Heyman, Phys. Rev. E 64, 056625 (2001).

B. Mesfin and V.N. Mal'nev, Physics of Plasmas 19, 032101 (2012).

R.W. Boyd, Nonlinear Optics (Academic Press, San Diego, 1992).

J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1999).

A.K. Sarychev and G. Tartakovskii, Phys. Rev. B 78, 161401 (2008).

S.A. Ramakrishna and J.B. Pendry, Phys. Rev. B 67, 201101(R) (2003).

A.D. Boardman, Yu.G. Rapoport, N. King, and V.N. Mal'nev, J. Opt. Soc. of Amer. B 24, No. 10, A53 (2007).

I.V. Shadrivov, S.K. Morrison, and Y.S. Kivshar, Optics Express, 14, 9344 (2006).

Published
2019-01-08
How to Cite
Ahmed, A., Mal’nev, V., & Mesfin, B. (2019). Microwaves in Structured Metamaterials: Supeluminal, Slow, and Backward Waves. Ukrainian Journal of Physics, 61(2), 125. https://doi.org/10.15407/ujpe61.02.0125
Section
Solid matter

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