A flexible procedure to avoid the boundary materials singularities in 2D transformation-based cloaks

ABSTRACT

An out-of-plane coordinate transformation can avoid singular materials in a two-dimensional electromagnetic cloak. Based on numerical simulations of elliptical cylinders, in this paper we show that the use of two different constants to define the out-of-plane stretching can result in anisotropic materials with lower values and yet with a better scattering reduction for a given incident wave direction.

KEYWORDS:

• Cloaking
• coordinate transformation
• electromagnetic metamaterials
• scattering cross-width

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Fábio J. F. Gonçalves  http://orcid.org/0000-0003-0086-2148

Alfred G. M. Pinto  http://orcid.org/0000-0001-6799-0238

Renato C. Mesquita  http://orcid.org/0000-0003-1837-1355

Additional information

Funding

This work was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) under Grant 171113/2017-9; Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) under Grant APQ-03382-17; and Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) under Finance Code 001.

Notes on contributors

Fábio J. F. Gonçalves

Fábio J. F. Gonçalves received the BS degree in Electronics and Telecommunication Engineering from Pontifical Catholic University of Minas Gerais in 2006; MS (2012) and PhD (2016) degrees in Electrical Engineering from Federal University of Minas Gerais, where he is a postdoctoral researcher. His interests include numerical and applied electromagnetics, characterization of materials and design of metamaterials.

Alfred G. M. Pinto

Alfred G. M. Pinto received the BS degree in Mathematics from the Federal University of Minas Gerais in 2002, BS and MS degrees in Electrical Engineering from the Federal Center of Technological Education of Minas Gerais (2012) and PhD degree (2017) in Electrical Engineering from the Federal University of Minas Gerais. His main interests are in numerical methods and applied electromagnetics.

Renato C. Mesquita

Renato C. Mesquita received the BS and MS degrees in Electrical Engineering from the Federal University of Minas Gerais, Brazil, in 1982 and 1986, respectively, and the PhD degree in Electrical Engineering from the Federal University of Santa Catarina, Brazil, in 1990. He is with the Department of Electrical Engineering, Federal University of Minas Gerais. His main research interest is in the area of electromagnetic field computation.

Elson J. Silva

Elson J. Silva received the BS and MS degrees in Electrical Engineering from the Federal University of Minas Gerais, Brazil, in 1987 and 1990, respectively, and the PhD in Electrical Engineering from the University of Akron in 2000. He is with the Department of Electrical Engineering, Federal University of Minas Gerais. His research interests include discrete exterior calculus, finite element method, modeling of coupled problems and electromagnetic metamaterials.