期刊
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
卷 71, 期 1, 页码 869-881出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2022.3215079
关键词
Metasurfaces; Time-domain analysis; Numerical models; Finite element analysis; Electromagnetics; Mathematical models; Finite difference methods; Discontinuous Galerkin time-domain method (DGTD); finite-element method (FEM); generalized sheet transition conditions (GSTCs); metasurface; numerical flux; time integration; time-domain analysis
The generalized sheet transition conditions (GSTCs) are integrated into a discontinuous Galerkin time-domain (DGTD) method to efficiently simulate metasurfaces. The numerical flux for GSTCs is derived for the first time using the Rankine-Hugoniot jump conditions. A new time marching scheme is developed to address the instability issue caused by the explicit time integration schemes traditionally used with DGTD. The proposed method demonstrates its accuracy and applicability to simulate curved and space/time-varying metasurfaces.
The generalized sheet transition conditions (GSTCs) are incorporated into a discontinuous Galerkin time-domain (DGTD) method to efficiently simulate metasurfaces. The numerical flux for GSTCs is derived for the first time using the Rankine-Hugoniot jump conditions. This numerical flux includes the time derivatives of fields, and therefore, explicit time integration schemes, which are traditionally used with DGTD, do not yield a stable time marching method. To alleviate this bottleneck, a new time marching scheme, which solves a local matrix system for the unknowns of the elements touching the same GSTC face, is developed. This locally implicit method maintains its high-parallel efficiency just like the traditional explicit DGTD schemes. Numerical results, which validate the accuracy of the proposed method against analytical solutions and demonstrate its applicability to the simulation of curved and space/time-varying metasurfaces, are presented.
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