https://doi.org/10.1051/epjam/2016007
Research Article
Extraction of material parameters in 1-D fractal metamaterial
Instituto de Telecomunicações, Departamento de Eletrónica, Telecomunicações e Informática, Universidade de Aveiro, 3810-193
Aveiro, Portugal
* e-mail: samaneh@ua.pt
** e-mail: jcpedro@ua.pt
Received:
15
April
2016
Accepted:
19
June
2016
Published online: 9 August 2016
In this paper, we develop a transfer matrix-based homogenization approach applicable to self-similar fractal structures. With this method, we derive the material parameters of a layered metamaterial comprising two different dielectrics with permittivities equal to ε1 and ε2, respectively, in which the layers are distributed based on a fractal set. The band dispersion diagram and effective permittivity obtained analytically are verified with numerical simulations.
Key words: Metamaterials / Fractals / Material parameters
© S. Moeini & J.C. Pedro, Published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
