Stage M2

 

Keyword: Numerical methods, method of moment, metasurfaces, antennas, periodic
problems.

A master internship position is offered at Sorbonne University, in Paris (duration of 4 to 6
months, depending on candidate availability), with a possibility to pursue a PhD afterwards.

Context: Higher data rates and shared platforms among users are stimulating a
revolution in technologies for the next 5G standards and satellite communications. New
antennas are required at millimeter waves (30 GHz or higher), being wide-bandwidth, light-
weight, low-cost. Unfortunately existing technologies are currently very bulky, lossy, heavy,
and expensive.
To overcome these limitations, new devices based on artificial surfaces (metasurfaces)
are emerging. Metasurfaces are formed by a periodic distribution of objects on a surface
(Fig. 1), modifying the electromagnetic behavior of the waves propagating on it.
Metasurfaces can realize artificial flat lenses, focusing the field where required (Fig. 2).

Fig. 1 Example of a periodic metasurface from [1].
Fig.2 Active metasurfaces modifying the frequency of an incident field, from [2]

Internship: In this internship, a numerical method based on the Method of Moments
(MoM) will be developed for the study of a periodic metasurface, starting from an existing
MoM code which discretizes with a triangular meshing a unit cell of the surface and enforces
an electric-field integral equations with periodic boundary conditions (Fig. 3).
Here we want to modify this code in order to study a single localized excitation which
illuminates the surface. This will be accomplished with the Array Scanning Method [4], which
allows to decompose a non-periodic problem into an integral superposition of auxiliary
periodic problems.

Fig. 3 Example of unit cell of a metasurface and its meshing with triangular basis functions from [3].

GeePs – Group of Electrical Engineering of Paris
Sorbonne University (ex - University of Pierre & Marie Curie)
4, place Jussieu – 75005 PARIS, FRANCE
https://www.geeps.centralesupelec.fr/