Modelling of metallic inclusions on non-homogeneous dielectric substrates

ABSTRACT

In this article, modelling is done for Square Split Ring Resonators (SSRR) as a quasi-static equivalent circuit in a non-homogeneous environment. The authors propose a new relationship for the relative permittivity for a metallic inclusion etched on top of a dual substrate in a non-homogeneous medium. The stacking sequence of the substrates plays a vital role in the response of the SSRR. This paper highlights the change brought about by the dielectric materials’ stacking order on resonant frequency and quality factor. The analytical and numerical study of SSRR etched on the dual substrates shows a good correlation of values. A comparative study indicates a better fit of the proposed formula for the effective permittivity over the conventional averaging method. This article highlights the advantages of using a dual substrate material for fabricating metamaterial structures for different applications. The advantage of the proposed permittivity equation is its applicability to all kinds of geometries. Three different substrate materials were used for the performance study of the SSRR (FR4, Rogers RT/Duroid 5880 and Alumina).

KEYWORDS:

• Asymmetry factor
• metamaterials
• non-homogeneous dual substrates
• square split ring resonator

Disclosure statement

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

Additional information

Notes on contributors

Shailesh M. Rao

Shailesh M. Rao is a graduate & postgraduate in Electrical Engineering. An experienced professional in radar and telecommunication engineering domains with more than 25+ years of exposure. At present, he is a research scholar and working towards his PhD at REVA University, Bengaluru. His areas of interest are antennas, computational Electromagnetics, radar engineering and photonics.

Prabhugoud I. Basarkod

Dr Prabhugoud I. Basarkod, Professor, School of Electronics and Communication Engineering. He has 30+ years of teaching and research experience. He has many research publications in reputed national/international journals and conferences. His research areas of interest include Wireless Networks, Mobile Ad hoc Networks (MANETs), Agent technology, Multimedia communication, antennas, and wireless sensor networks. He is a member of the Indian Society for Technical Education, Institute of Electrical and Electronics Engineers (IEEE), Member Institution of Electronics, and Institution of Electronics and Telecommunication Engineers (IETE).