Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate

Mohamed Lamine Bouknia,Chemseddine Zebiri,Issa Elfergani,Ernesto Limiti,Francisco Falcone,Jonathan Rodriguez,Mohammad Alibakhshikenari,Djamel Sayad,Raed A Abd-Alhameed

doi:10.3390/electronics10091050

Abstract

The present work considers the investigation of the effects of both electrical and magnetic uniaxial anisotropies on the input impedance, resonant length, and fields distribution of a dipole printed on an anisotropic grounded substrate. In this study, the associated integral equation, based on the derivation of the Green’s functions in the spectral domain, is numerically solved employing the method of moments. In order to validate the computing method and the evaluated calculation code, numerical results are compared with available data in the literature treating particular cases of electrical uniaxial anisotropy; reasonable agreements are reported. Novel results of the magnetic uniaxial anisotropy effects on the input impedance and the evaluated electromagnetic field are presented and discussed. This work will serve as a stepping stone for further works for a better understanding of the electromagnetic field behavior in complex anisotropic and bi-anisotropic media.

Highlights

Since a few decades, theoretical and experimental studies of the interaction of electromagnetic waves with complex-media structures, anisotropic or bianisotropic, have been extensively investigated for their innovative applications, including geophysical explorations, communications with buried and submerged antennas, microwave/millimeter integrated circuits, optical devices, etc. [1,2,3,4,5,6,7].In general, complex media have received increasing interest from both scientists and researchers in the context of artificial media with new and interesting properties due to their additional degree of freedom [8]
We are firstly interested in the input impedance, the resonant length of the dipole and secondly in the distribution of the electromagnetic fields
The objective of this work is to analyze the effects of different electromagnetic parameters of the anisotropic substrate on the input impedance of the dipole, in addition to the electromagnetic field evaluation through the plotting of the electric and magnetic field distributions in the three principal planes XY, XZ, and YZ

Summary

Introduction

Theoretical and experimental studies of the interaction of electromagnetic waves with complex-media structures, anisotropic or bianisotropic, have been extensively investigated for their innovative applications, including geophysical explorations, communications with buried and submerged antennas, microwave/millimeter integrated circuits, optical devices, etc. [1,2,3,4,5,6,7].In general, complex media have received increasing interest from both scientists and researchers in the context of artificial media with new and interesting properties due to their additional degree of freedom [8]. The effect of anisotropy must be considered and cannot be ignored in the prediction of unusual properties in engineering designs such as for sensing and antenna applications [9,10,11] They have attracted much interest and support from researchers and manufacturers as powerful instruments with interesting growth potential in microwave applications [12]. In [11], a detailed analytical model is derived for the circularly polarized slot antenna, built on a ferrite substrate This model is based on an integral equation for the radial electric field on the slot. In [16], a method based on the volume integral equation (VIE) is used to evaluate the electromagnetic (EM)

Objectives

Methods

Results

Conclusion