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Nonresonance effective electromagnetic response of sandwich metamaterial with ferrite inclusions

Oleg Rybin (Department of Information Systems and Technologies, Kharkov State University of Food Technology and Trade, Kharkov, Ukraine Department of Higher Mathematics, Kharkov National Academy of Municipal Economy, Kharkov, Ukraine)
Konstantin Yemelyanov (Center for Advanced Communications, Villanova University, Villanova, Pennsylvania, USA)
Tahira Nawaz (Centre for Advanced Study in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 9 August 2011




The purpose of this paper is to obtain the long‐wave approximations for the effective electromagnetic response of two‐dimensional sandwich composite structure, as infinite chain of infinitely long metal cylinders symmetrically immersed in an infinite metamaterial slab are obtained. The slab is an infinite magneto‐dielectric matrix with periodically imbedded infinitely long metal cylinders whose diameter is smaller than those of the chain cylinders. The case of ferrite‐like metallic saturated inclusions is considered in the study.


The result is presented as a generalized expression of the electromagnetic response of the infinite periodic chain of infinitely long metallic cylinders immersed into the flat magneto‐dielectric host medium. Those expressions were obtained utilizing S‐ and T‐matrices approaches.


A good coincidence between the results of analytical modeling and numerical simulations was found.

Research limitations/implications

Low values of the metal volume fraction; microwave frequency range.

Practical implications

An improving of directivity of patch antennas; a minimization of patch antennas.


The analytical characterization of new artificial substrate‐like structure to be utilized for designing patch antennas of a new generation.



Rybin, O., Yemelyanov, K. and Nawaz, T. (2011), "Nonresonance effective electromagnetic response of sandwich metamaterial with ferrite inclusions", Multidiscipline Modeling in Materials and Structures, Vol. 7 No. 2, pp. 170-183.



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Copyright © 2011, Emerald Group Publishing Limited

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