Issue |
EPJ Appl. Metamat.
Volume 4, 2017
Artificial materials for advanced applications in electromagnetics and mechanics
|
|
---|---|---|
Article Number | 3 | |
Number of page(s) | 13 | |
DOI | https://doi.org/10.1051/epjam/2016014 | |
Published online | 13 January 2017 |
https://doi.org/10.1051/epjam/2016014
Research Article
Efficient integral equation modeling of scattering by a gradient dielectric metasurface
Department of Informatics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece
* e-mail: ntsitsas@csd.auth.gr
Received:
10
October
2016
Accepted:
10
November
2016
Published online: 13 January 2017
Plane-wave scattering by a gradient dielectric metasurface, composed of a dielectric slab on which has been etched an infinitely periodic grating, is analyzed by means of rigorous semi-analytical integral equation techniques based on the Method of Moments with entire domain basis functions. The electric field integral equation is considered with unknown function the electric field on the grating and is then solved by applying an entire domain Galerkin’s technique. The proposed methodology is characterized by high numerical stability and controllable accuracy; the obtained solution is analytic with the sole approximation of the final truncation of the expansion functions sets. The operation of the metasurface as a narrow-band reflection frequency filter is investigated. Moreover, it is also shown that under certain conditions anomalous reflection and transmission can be generated even for a metasurface composed of conventional materials. The numerical results obtained provide design guidelines, which may pave the way for more systematic investigations of gradient dielectric metasurfaces assisting the control and manipulation of electromagnetic waves.
Key words: Gradient dielectric metasurfaces / Wave scattering / Integral equations / Method of moments / Narrow band filters / Anomalous reflection
© N.L. Tsitsas, 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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.