Design of artificial magnetic conductor metasurfaces using generalized boundary conditions

Abstract

In this work, a design method for artificial magnetic conductor metasurfaces based on generalized boundary conditions is proposed as an alternative to analytic expressions and to conventional optimization approaches. First, the required surface susceptibility is analytically obtained by using generalized boundary conditions and the equivalent circuit model. Then, the geometry of the PEC scatterers is optimized to achieve the required transmission coefficient. The detailed design procedure is presented and its applicability is demonstrated through numerical examples. The proposed method is compared to analytical expressions and to standard optimization methods, showing better results in terms of flexibility and computational cost. Metasurfaces based on square patch, square loop and Jerusalem cross scatterers, mounted on different commercial dielectric substrates are studied for ISM band applications. The results have shown good agreement with the design requirements.

Keywords:

• Metasurface
• artificial magnetic conductor (AMC)
• generalized boundary conditions (GBCs)
• equivalent circuit
• design procedure

Disclosure statement

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

Additional information

Funding

This work was supported by the Brazilian agencies Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), and Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG), and by the Brazilian institution Federal University of Minas Gerais (Universidade Federal de Minas Gerais (UFMG)).

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. He is currently pursuing the Ph.D. degree in electrical engineering at Universidade Federal de Minas Gerais, Brazil. 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.

Icaro V. Soares

Icaro V. Soares 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 2018 and 2020, respectively. His current research interests include antenna design, computational electromagnetism, metamaterials, metasurface lens, and wireless power transfer.

Welyson T. S. Ramos

Welyson T. S. Ramos received the B.A.Sc. in Physics from the Universidade Federal de Alagoas, Brazil, in 2011, the M.A.Sc. and the Ph.D. degrees in electrical engineering from the Universidade Federal de Minas Gerais, Brazil, in 2013 and 2019, respectively. He is currently a Professor with the Instituto de Engenharia, Ciência e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri, Minas Gerais, Brazil. His current research interests include antennas, wave propagation, metamaterials, photonic devices, and biological systems.