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Mathematical Modeling of n-Sided Polygon Metamaterial Split Ring Resonators for 5.8 GHz ISM Band Applications

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Abstract

Metamaterials have become an interesting area of research in electromagnetism due to their unique characteristics which can radically change the world of wireless communication. Split ring resonator (SRR) is the most commonly used metamaterial structure which is used for preventing signal propagation at the desired frequency band due to its capability to exhibit negative permeability and stop band characteristics. This paper presents SRR designs for 5.8 GHz industrial, scientific and medical band applications. Rings of the designed SRRs are n-sided regular polygons. We have proposed a mathematical model for the SRR to estimate the shape of SRR for given values of coupling and bandwidth at 5.8 GHz. Subsequently, mathematical equations are proposed for the estimation of coupling and bandwidth from given shape of SRR for 5.8 GHz band. Proposed SRR designs and their mathematical models find applications in the areas such as reduction of mutual coupling in antenna arrays and design of microwave band stop filters.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Visvesvaraya National Institute of Technology, South Ambazari Road, Nagpur, 440010, Maharashtra, India

    Prerna Saxena & Ashwin Kothari

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  1. Prerna Saxena
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  2. Ashwin Kothari
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Correspondence to Prerna Saxena.

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Saxena, P., Kothari, A. Mathematical Modeling of n-Sided Polygon Metamaterial Split Ring Resonators for 5.8 GHz ISM Band Applications. Wireless Pers Commun 96, 5959–5971 (2017). https://doi.org/10.1007/s11277-017-4457-z

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