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Fast analysis of metasurfaces through temporal coupled-mode theory
Maria-Thalia Passia, Traianos Yioultsis
Dept. of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Greece
In this paper, a rigorous temporal coupled-mode theory (CMT) formalism is developed, to analyze metasurface - based structures. Such metasurfaces are generally rather complex, requiring extensive, full-wave simulations. To facilitate their design, and minimize the associated computational demand, CMT is utilized, by solving a linear system of equations, fed by the results of certain, much simpler, and less time- and memory-consuming eigenvalue problems. The proposed method is versatile and offers an initial, valuable estimation of the structure’s frequency response, which may be used as a guideline for the final metasurface fine-tuning. As proof of concept, an SRR-metasurface coupled to a microstrip line is analyzed, and its response is compared to full-wave FEM results of the entire structure.
9:30am - 9:50am
Finite Element Modeling of Conductive Multilayer Shields by Artificial Material Single Layer (AMSL) Method
1University of L'Aquila, Italy; 2Sapienza University of Rome, Italy
The artificial material single layer (AMSL) method, recently proposed to model solid conductive shields in finite element solvers without using a fine discretization, is here extended to multilayer shields. First, the admittance matrix of a multilayer shield is analytically derived by transmission line theory (TL). Then, considering that the field through conductive shields propagates normally to the shield surface, the TL admittance matrix is equated to that of a one-dimensional finite element to extract the physical constants of a homogenized artificial material. These constants are adopted to model the multilayer shield region using only one layer of finite elements in the direction of the field propagation in the FEM calculations. By AMSL-FEM the field propagation through the multilayer shield is accurately modeled taking into account the skin effect and avoiding the fine discretization of the shield.
9:50am - 10:10am
Fast BEM solution for scattering problems using Quantized Tensor Train format
Jean-René Poirier1,2, Olivier Coulaud2, Oguz Kaya3, Ayoub Bellouch2
1LAPLACE, Université de Toulouse, CNRS, INPT, UPS,Toulouse, France; 2INRIA Bordeaux Sud-Ouest-HIEPACS; 3Université Paris Saclay
It is common to accelerate the boundary element method by compression methods (FMM, H-Matrix / ACA) that allow for
more accurate resolution or frequency rise. We present here a tensor compression method that allows to improve on a canonical example with respect to the performances obtained by the previous methods.
10:10am - 10:30am
RWG Basis Functions for Accurate Modelling of Substrate Integrated Waveguide Slot-based Antennas
1Laboratoire d’Electronique et Électromagnétisme, Sorbonne Université, F-75005 Paris, France; 2IETR, UMR CNRS 6164, Université de Rennes 1, France
In this paper, we propose the use of a triangular mesh along with Rao-Wilton-Glisson (RWG) basis functions to improve the performance and flexibility of a mixed Mode-Matching (MM) / Method of Moment (MoM) algorithm dedicated to Substrate Integrated Waveguide (SIW) antennas. More specifically, these basis functions intervene in the MoM procedure to describe equivalent magnetic currents representing the fields on either coupling slots or radiating apertures. In previous work, this algorithm was presented with an entire domain set of basis functions, namely sine functions, suitable for electrically thin rectangular-shaped slots. By using a triangular mesh, more exotic geometries can be handled, but the accuracy is also improved for rectangular slots having large electrical dimensions. We present the theoretical framework of this novelty and highlight its potential through a concrete example.