Issue |
EPJ Appl. Metamat.
Volume 4, 2017
|
|
---|---|---|
Article Number | 10 | |
Number of page(s) | 14 | |
DOI | https://doi.org/10.1051/epjam/2017007 | |
Published online | 01 December 2017 |
https://doi.org/10.1051/epjam/2017007
Research Article
Riemann–Hilbert technique scattering analysis of metamaterial-based asymmetric 2D open resonators
1
Department of Electrical Engineering Technical, University of Denmark,
Kgs. Lyngby
2800, Denmark
2
Department of Electrical and Computer Engineering, University of Arizona,
Tucson,
85721-0104, USA
3
Global Big Data Technologies Centre, University of Technology Sydney,
Ultimo,
NSW
2007, Australia
* e-mail: pmarka@elektro.dtu.dk
Received:
16
March
2017
Received in final form:
8
September
2017
Accepted:
19
September
2017
Published online: 1 December 2017
The scattering properties of metamaterial-based asymmetric two-dimensional open resonators excited by an electric line source are investigated analytically. The resonators are, in general, composed of two infinite and concentric cylindrical layers covered with an infinitely thin, perfect conducting shell that has an infinite axial aperture. The line source is oriented parallel to the cylinder axis. An exact analytical solution of this problem is derived. It is based on the dual-series approach and its transformation to the equivalent Riemann–Hilbert problem. Asymmetric metamaterial-based configurations are found to lead simultaneously to large enhancements of the radiated power and to highly steerable Huygens-like directivity patterns; properties not attainable with the corresponding structurally symmetric resonators. The presented open resonator designs are thus interesting candidates for many scientific and engineering applications where enhanced directional near- and far-field responses, tailored with beam shaping and steering capabilities, are highly desired.
Key words: Asymmetric resonators / Line source / Metamaterials / Riemann–Hilbert techniques / Scattering
© P.M. Kamiński et al., published by EDP Sciences, 2017
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.
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