A semi-analytical method to extract the characterization parameters of artificial magnetic conductor metasurfaces using generalized boundary conditions

Abstract

In this work, a characterization procedure of Artificial Magnetic Conductor (AMC) metasurfaces based on analytical expressions developed using the Generalized Boundary Conditions (GBCs) model is presented. The correlation between the surface susceptibilities of the PEC scatterers and the main frequency points used in the characterization of AMCs are established. Then the susceptibilities of square patch, square loop, Jerusalem cross and second iteration Minkowski fractal PEC scatterers are obtained by two sets of simulations and are used to calculate profiling frequencies and stability parameters. The detailed characterization procedure is presented and the flexibility and effectiveness of the proposed method are compared to full-wave numerical simulations.

Keywords:

• Angular stability
• artificial magnetic conductor (AMC)
• characterization method
• generalized boundary conditions (GBCs)
• metasurface

Acknowledgments

This work has been supported by the Brazilian agencies CAPES, CNPq, and FAPEMIG, and by the Brazilian Institution Federal University of Minas Gerais (UFMG).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico[142565/2018-0].

Notes on contributors

Guilherme L. F. Brandão

Guilherme L. F. Brandão received the B.A.Sc. and M.A.Sc. degrees in electrical engineering from the Centro Federal de Educação Tecnológica de Minas Gerais, Brazil, in 2015 and 2017, respectively, and received the Ph.D. degree in electrical engineering from the Universidade Federal de Minas Gerais, Brazil, in 2022. His current research interests include antenna design, metasurfaces, artificial magnetic conductors, metamaterials and rectennas.

Elson J. Silva

Elson J. Silva received the B.A.Sc. and M.A.Sc. degrees in electrical engineering from the Universidade Federal de Minas Gerais, Brazil, in 1987 and 1990, respectively, and the Ph.D. degree from the University of Akron, USA, in 2000. He is currently a Professor with the Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil. His current research interests include discrete exterior calculation, generalized/extended finite element method, coupled problem modeling, electromagnetic metamaterials/metasurfaces.

Ursula C. Resende

Ursula C. Resende received the B.A.Sc. and M.A.Sc. degrees in electrical engineering from the Pontificia Universidade Católica de Minas Gerais, Brazil, in 1999 and 2001, respectively, and the Ph.D. degree from the Universidade Federal de Minas Gerais, Brazil, in 2007. She is currently a Professor with the Department of Electrical Engineering, Centro Federal de Educação Tecnológica de Minas Gerais, Brazil. Her current research interests include applied electromagnetics, electromagnetic scattering, antennas, method of moments and meshless methods.