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Mathematical Modeling and Validation of a Hexagonal Split Ring Resonator

Publication Type : Conference Paper

Thematic Areas : Wireless Network and Application

Publisher : 2018 Second International Conference on Advances in Electronics, Computers and Communications (ICAECC).

Source : 2018 Second International Conference on Advances in Electronics, Computers and Communications (ICAECC) (2018)

Keywords : Approximation theory, Artificial material, Capacitors, circular capacitor, circular loop approximation, Edge coupling., effective capacitance, effective inductance, effective permeability, equivalent circuit, Equivalent circuit model, Equivalent circuits, Hexagonal Split Ring Resonator, Integrated circuit modeling, mathematical model, Mathematical modeling, Metamaterial, Metamaterials, Optical ring resonators, parallel plate capacitor, permeability, Permittivity, Resonant frequency, Resonators

Campus : Amritapuri

School : School of Engineering

Center : Amrita Center for Wireless Networks and Applications (AmritaWNA)

Department : Wireless Networks and Applications (AWNA)

Year : 2018

Abstract : The paper illustrates equivalent circuit model and validation of the same for a Hexagonal Split Ring Resonator (HSRR). The effective permeability and permittivity of the proposed H-SRR is calculated using NRW method and its effectiveness as artificial material is proved. The equivalent circuit of the resonator is modelled considering circular loop approximation and thus realizing the effective inductance. The effective capacitance is calculated considering hexagon as circular capacitor and gap is modelled as parallel plate capacitor. The proposed equivalent circuit is able to predict the resonant frequency with less than 2% error.

Cite this Research Publication : B. George, S. Nair, B., ., K., and Menon, edevi, “Mathematical Modeling and Validation of a Hexagonal Split Ring Resonator”, in 2018 Second International Conference on Advances in Electronics, Computers and Communications (ICAECC), 2018.

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