TELECOMMUNICATIONS AND RADIO ENGINEERING - 2010 Vol. 69,
No 6 		 

 

 

 

Effective Electromagnetic Response of the Infinite Chain of Metallic Cylinders Immersed in Isotropic Dielectric Matrix


O.N. Rybin, & S.P. Vyalkina
Kharkiv State University of Food Technology and Trade,
333, Klochkovskaya St., Kharkiv, 61051, Ukraine
Address all correspondence to O.N. Rybin E-mail: rybin.oleg@gmail.com

M. Raza
Bahauddin Zakariya University, Multan, Pakistan

Abstract
The long wave approximation for electromagnetic response of the generalized infinite chain of infinitely long circular metallic cylinders periodically embedded in an arbitrary slab dielectric matrix have been obtained in this study. The expressions of the response are obtained by means of generalization for the expressions for the electromagnetic response of the similar chain with the thickness is equal to the diameter of the cylinders. The generalization has been done through using the S- and T-matrices approaches. The case of ferrite like metal cylinders is considered. Comparisons of the analytically obtained results with the numerically calculated ones are made.

KEY WORDS: metamaterials, effective parameters, Effective Medium Theory, electromagnetic response, microwave



References
  1. Reuben, A.J., (1999), Spectral Decomposition for the Optical Response of Cylinder Chains, J. Phys. A: Math. Gen., 32:4299-4310.
  2. Li, X. and Ma, H.R., (1999), The Bergman Spectrum of the Effective Dielectric Constant in Two-Dimensional Composite Media, J. Phys.: Condens. Matter, 11(23):L241-L246.
  3. Moses, C.A. and Engheta, N., (2001), Electromagnetic Wave propagation in the Wire Medium: a Complex Medium with Long Thin Inclusions, Wave Motion, 34:301-317.
  4. Rybin, O. and Raza, M., (2009), Effective Electric and Magnetic Properties of the Infinite Chain of Circular Metallic Cylinders. The International Journal of Applied Electromagnetics and Mechanics, 31(2):61-66.
  5. Nicolson, A.M. and Ross, G.F., (1970), Measurement of the intrinsic properties of materials by time domain technique. IEEE Trans. on Instrum. Measur., IM-19:377-383
  6. Ghodgaonkar, D.K., Varadan, V.V., and Varadan Anad, V.K., (1989), A free space method for measurement of dielectric constants and loss tangents at microwave frequencies. IEEE Trans. Instrum. Measur., 38:389-393.
  7. Ghodgaonkar, D.K., Varadan, V.V., and Varadan Anad, V.K., (1990), Free-space measurement of complex permittivity and complex permeability of magnetic materials at microwave frequencies. IEEE Trans. Instrum. Measur., 39(2):387-394.
  8. Mallégol, S., Quéffélec, P., Le Floch, M., and Gelin, P., (2003), Theoretical and experimental determination of the permeability tensor components of magnetized ferrites at microwave frequencies. IEEE Trans. on Magnet., 39(4):2003-2008.
  9. Bientsman, P., (2001), Rigorous and efficient modeling of wavelength scale photonic components, PhD thesis, University of Gent.
  10. Twersky, V., (1962), On Scattering of Wires by the Infinite Grating of Circular Cylinders, IRE Transaction on Antennas and Propagation, pp. 737-765.


pages 473-480

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