1. Finite Element Method Modeling of the Wire Thickness of a Monopole on a Circular Ground Plane.
- Author
-
Hynes, C. G. and Vaughan, R. G.
- Subjects
FINITE element method ,MONOPOLE antennas ,IMPEDANCE matching ,CURVED surfaces ,ANTENNAS (Electronics) - Abstract
Simulations and measurements of the input impedance and matching of a cylindrical monopole at the center of a circular ground plane are presented. The design parameters are the monopole length (0.23λ $0.23\lambda $ to 0.26λ $0.26\lambda $), the monopole radius (10−5λ $1{0}^{-5}\lambda $ to 5×10−3λ $5\times 1{0}^{-3}\lambda $), and the ground plane radius (0.2λ $0.2\lambda $ to 2.0λ $2.0\lambda $), where λ $\lambda $ is the wavelength. Using new numerical results from the Finite Element Method (FEM), previous theoretical impedance results for an infinitesimally thin element are shown to be inaccurate for monopoles of practical thicknesses since there can be a strong dependence on the wire thickness—even for electrically very thin wires. The FEM offers convenient modeling for the wire thickness and the results match well with physical experiments. To obtain good antenna impedance matching to a 50 Ω ${\Omega }$ impedance, that is, S11≤−10 ${S}_{11}\le -10$ dB, for any ground plane radius greater than λ/2 $\lambda /2$ (an arbitrary lower bound) and any practical wire monopole radius, the simulations show that a monopole length of 0.24λ $0.24\lambda $ can be used. Plain Language Summary: Analytical studies have estimated the input impedance of a cylindrical monopole centered over a circular ground plane by assuming an infinitesimally thin wire. With the advance of simulation tools, better estimations for this classical antenna have been achieved, but it remains challenging when the wire is electrically very thin. A monopole over a disc is simulated using the Finite Element Method (FEM) and shows excellent agreement with measurements for varying monopole lengths, wire thicknesses, and ground plane sizes. The ability to achieve good accuracy stems from the FEM's mesh convergence algorithm and the tetrahedral meshing that conforms well to curved surfaces. For design, a fixed electrical wire length is recommended to provide good input matching for any practical wire thickness once the ground plane is larger than a half‐wavelength. Key Points: The impedance of a monopole over a finite ground plane is strongly impacted by the wire thickness but accurate modeling remains elusiveWe show that the numerical Finite Element Method provides excellent agreement with measurements of the antenna input impedanceWe provide a convenient monopole length that provides good input matching, regardless of the thickness of any practical wire [ABSTRACT FROM AUTHOR]
- Published
- 2024
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