Singular Integral Formulations for Electrodynamic Analysis of Metamaterial-Inspired Antenna Array

Alibakhshikenari, Mohammad; Virdee, Bal. S.; Aïssa, Sonia; See, Chan H.; Althuwayb, Ayman Abdulhadi; Abd-Alhameed, Raed; Huynen, Isabelle; Falcone, Francisco; Limiti, Ernesto

Abstract

In this paper, a set of singular integral formulations are derived to calculate the surface impedance matrix on the antenna array elements. The proposed mathematical model enables electrodynamic analysis of antenna arrays designed using metamaterial-inspired structures. The formulations allow the determination of the array's impedance, spatial and polarization characteristics at significantly low computational cost compared to conventional electromagnetic solvers based on method-of-moments (MoM) numerical technique. The accuracy of the surface impedance results obtained from the theoretical formulations are verified using the full wave EM software. It is shown that there is excellent agreement between the proposed formulations and EM software. The accuracy of the theoretical model presented is valid for single layer structures.

• Journal Article Type: Article
• Acceptance Date: Dec 5, 2020
• Online Publication Date: Dec 8, 2020
• Publication Date: 2021-02
• Deposit Date: Dec 5, 2020
• Publicly Available Date: Dec 7, 2020
• Journal: IEEE Antennas and Wireless Propagation Letters
• Print ISSN: 1536-1225
• Electronic ISSN: 1548-5757
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 20
• Issue: 2
• Pages: 179-183
• DOI: https://doi.org/10.1109/lawp.2020.3043380
• Keywords: Singular integral formulation, metamaterial, antenna array, electrodynamic analysis, EM simulation
• Public URL: http://researchrepository.napier.ac.uk/Output/2708884