Hybrid nonsingular mappings in the multi-objective design of a transverse-magnetic reduced cloak

Abstract

This paper describes the integrated use of two design strategies for controlling the permittivity and permeability of a transformation electromagnetics two-dimensional cloak. This hybrid process permits more freedom in the choice of the constitutive properties, which could simplify the implementation with metamaterials. Because simplicity of materials and scattering performance are inherently conflicting characteristics, a multi-objective genetic algorithm is applied to optimize them. According to the presented results for a transverse-magnetic layered cloak, it is possible to have a good performance in terms of scattering even with an approximated reduced set of parameters with unitary axial permeability.

Keywords:

• Electromagnetic cloak
• metamaterials
• multi-objective optimization
• scattering
• transformation electromagnetics

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 [grant number 171113/2017-9] and Fundação de Amparo à Pesquisa do Estado de Minas Gerais [grant number APQ-03382-17].

Notes on contributors

Fábio J. F. Gonçalves

Fàbio 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. Nowadays he is with the Federal Institute of Education, Science and Technology of Minas Gerais. His interests include numerical 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.