Generalized broad-band Effective Medium Theory of two-component metamaterials including magnetic ones: a review

Abstract

This review is dedicated to the Effective Medium Theory of two-component metamaterials in the broad frequency range from microwaves to visible region. The metamaterials are unbounded periodic 2-D lattice of infinitely long cylinders of circular cross section or unbounded periodic 3-D lattice of spherical particles embedded in a homogeneous isotropic host dielectric. Three types of inclusions are considered: 1) non-magnetic metal inclusions; 2) ferric inclusions; 3) ferromagnetic inclusions. It is assumed that ferric and ferromagnetic inclusions can be fully or partially magnetized by an external dc bias magnetic field. Two directions of wave propagation are considered for magnetized inclusions: 1) the direction of the bias field; 2) the direction transversal to the direction of magnetization. It has been shown that the metamaterials can exhibit the different properties depending on the material constituent and the direction of wave propagation. Antenna substrate application of the metamaterials is discussed in the review.

KEYWORDS:

• Metamaterials
• metaferrites
• microwave
• THz frequencies
• visible region
• nanocomposites
• Effective Medium Theory
• patch antennas

Acknowledgments

The authors would like to acknowledge Dr Georgios Zouganelis who was a teacher in metamaterial subject for the first author of this manuscript. The authors would like to acknowledge Dr Olexander Butrym for his advising for the antenna part of research underlain this review. The authors would also like to acknowledge Mrs Julia (Yuliia) Rybina for her valuable help in preparing the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Notes

1 Throughout the paper, speaking of the signs of the effective parameters, we will mean the signs of real parts of the parameters. This is because the effective parameters are, in fact, complex.

Additional information

Notes on contributors

Oleg Rybin

Oleg Rybin was born in 1972. He received the MS from V. N. Karazin Kharkov National University, Ukraine in 1994 and PhD degrees in Radio Physics from Kharkov National University of Radioelectronics, Ukraine in 1999. He received DSc degrees in Electrical Engineering from V. N. Karazin Kharkov National University, Ukraine in 2018. He has been a Postdoctoral Research Fellow at Nagoya Institute of Technology, Japan (2005–2006). He was Foreign Associate Professor at Bahauddin Zakariya University Multan, Pakistan since 2006. He was Associate Professor at Kharkov State University of Food Technology and Trade, Ukraine since 2008. He was Research Professor at Wuhan Textile University, China since 2013. He was Senior Researcher at V. N. Karazin Kharkov National University, Ukraine since 2016. He is Professor in the Department of Quantum Radio Physics since 2019. His research interests are modeling and simulation in electromagnetics, design and construction of metamaterial structures and patch antennas.

Sergey Shulga

Sergey Shulga was born in 1959. He received the MS and PhD and DSc degrees in Radio Physics from V. N. Karazin Kharkov National University, Ukraine in 1981, and 1991, and, 2004, respectively. He is Research Associate V. N. Karazin Kharkov National University since 1984. He is Senior Researcher at V. N. Karazin Kharkov National University since 1991. He is Associate Professor at V. N. Karazin Kharkov National University since 1996. He is Full Professor and Dean of the School of Radio Physics at V. N. Karazin Kharkov National University since 2007. His research interests are modeling and simulation in electromagnetics, design and construction of RF devices, magneto-cardiography.