%0 Journal Article
%T Method of Moments Simulation of Modulated Metasurface Antennas With a Set of Orthogonal Entire-Domain Basis Functions
%+ Université Catholique de Louvain = Catholic University of Louvain (UCL)
%+ Institut d'Électronique et des Technologies du numéRique (IETR)
%A Bodehou, Modeste
%A Gonzalez-Ovejero, David
%A Craeye, Christophe
%A Huynen, Isabelle
%Z FRIA (Fonds pour la formation a la Recherche dans l'Industrie et dans l'Agriculture) grant from the Belgium FNRS (Fonds National de la Recherche Scientifique) fund
%Z Marie Curie International Outgoing Fellowship through the 7th European Community Framework Program
%< avec comité de lecture
%@ 0018-926X
%J IEEE Transactions on Antennas and Propagation
%I Institute of Electrical and Electronics Engineers
%V 67
%N 2
%P 1119-1130
%8 2019-02
%D 2019
%R 10.1109/TAP.2018.2880075
%K Basis functions
%K impedance boundary condition (IBC)
%K leaky-wave antennas
%K metasurfaces (MTSs)
%K method of moments (MoM)
%K spectral domain methods
%Z Engineering Sciences [physics]/ElectromagnetismJournal articles
%X A family of orthogonal and entire-domain basis functions (named Fourier-Bessel) is proposed for the analysis of circular modulated metasurface (MTS) antennas. In the structures at hand, the MTS is accounted for in the electric field integral equation (EFIE) as a sheet transition impedance boundary condition on the top of a grounded dielectric slab. The closed-form Hankel transform of the Fourier-Bessel basis functions (FBBFs) allows one to use a spectral domain formulation in the method-of-moments (MoM) solution of the EFIE. Moreover, these basis functions are fully orthogonal, which implies that they are able to represent the global evolution of the current distribution in a compact form. FBBFs also present a better filtering capability of their spectrum compared to other well-known orthogonal families such as the Zernike functions. The obtained MoM matrix is sparse and compact, and it is thus very well-conditioned and can be efficiently computed and inverted. The numerical results based on the proposed decomposition are presented and compared with those based on the use of the Gaussian ring basis functions and with the full-wave analysis of MTS antennas implemented with small printed elements. A very good agreement is observed.
%G English
%2 https://univ-rennes.hal.science/hal-02049415/document
%2 https://univ-rennes.hal.science/hal-02049415/file/Bodehou%20et%20al_2018_Method%20of%20Moments%20Simulation%20of%20Modulated%20Metasurface%20Antennas%20with%20a%20set%20of.pdf
%L hal-02049415
%U https://univ-rennes.hal.science/hal-02049415
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