Microstrip patch antenna design using mathematically modeled metamaterial cell

Abstract

Abstract Metamaterial is an artificial material made up of different types of structural designs on a dielectric substrate. In this paper, a broad investigation is being carried out by mathematically modeling and simulating a single negative metamaterial cell comprising a square split ring resonator with two rings. This metamaterial cell has negative permeability values for a particular frequency range. By enhancing properties like bandwidth, reflection loss, and gain in microstrip patch antennae, these metamaterial cells demonstrate unusually remarkable applications in this field. The resonance frequency obtained by simulating the metamaterial cell is compared with the calculated value from the circuit model. The resonance frequency expression is made simple by evaluating the effective permittivity of the substrate after loading the metallic structure on a dielectric substrate. The resonant frequency predicted analytically is found to be extremely close to the frequency obtained by modeling metamaterial structure. A parameter-retrieval method utilising the S parameters is used to determine the curves for the complex permeability of the metamaterial based on its unit element. In order to obtain the S parameters, modeling software is used. This modeled cell is used for designing a rectangular microstrip patch antenna. The parameters such as bandwidth, Gain, return loss, antenna, and metamaterial-based antenna are compared and recorded.