Numerical analysis of modulated metasurface antennas using Fourier-Bessel basis functions

M. Bodehou (1) , D. Gonzalez-Ovejero (2) , C. Craeye (1) , I. Huynen (1)

1 ICTEAM - Institute of Information and Communication Technologies, Electronics and Applied Mathematics
2 IETR - Institut d'Électronique et des Technologies du numéRique

Metasurfaces are thin (2D) metamaterials designed for manipulating the dispersion properties of surface-waves (SWs) or the reflection properties of incident plane-waves. Thanks to the sub-wavelength sizes of the patches used in the implementation step, these surfaces can be described by a surface impedance boundary condition (IBC). In this paper, we investigate a 'Method of Moments' (MoM) based analysis of such surface with a family of entire-domain basis functions named 'Fourier-Bessel' functions. The orthogonality property of these functions on a disk allows us to represent any smooth current distribution in an effective manner and thereby to drastically reduce the size of the MoM matrix. © 2017 IEEE.

Keywords: Antennas; Functions; Method of moments; Surface waves; Current distribution; Dispersion properties; Entire domain basis functions; Fourier-Bessel basis functions; Implementation steps; Orthogonality properties; Reflection properties; Surface impedance boundary condition; Surface properties

Domains: Computer Science [cs]; Networking and Internet Architecture [cs.NI]; Engineering Sciences [physics]; Electronics

M. Bodehou, D. Gonzalez-Ovejero, C. Craeye, I. Huynen. Numerical analysis of modulated metasurface antennas using Fourier-Bessel basis functions. 2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications, NEMO 2017, May 2017, Nagoya, Japan. ⟨10.1109/NEMO.2017.7964219⟩. ⟨hal-01622683⟩