An Integral Equation Based Computational Model for Simulating Substrate-Supported 2D Sheet Structures
In this paper, we propose an integral equation (IE)-based computational model for electromagnetic (EM) characterization of freestanding and substrate-supported 2D sheet structures. The freestanding 2D sheet is modeled with surface integral equation (SIE) method by combing the impedance boundary condition (IBC), while regarding the thickness of 2D sheet as zero. For the substrate-supported 2D sheet structure, we start from the coupled volume and surface integral equations (VSIE) based on the field equivalence principle. Because of the infinitesimal thickness of 2D sheets and the introduction of the equivalent surface currents on the sheet, the volume integral has been successfully transformed to a surface integral, which avoids the computationally expensive volume discritization for 2D sheet structures. Finally an efficient surface integral equation model is proposed. The domain decomposition method (DDM) is also employed in this paper, which decomposes the original large problem into smaller discrete sub-domain problems and brings the reduction both in computational time and memory. To validate the proposed IE models, various numerical results are presented to demonstrate the accuracy and efficiency.
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Document Type: Research Article
Affiliations: Metamaterials Lab, Electrical and Computer Engineering Department, Northeastern University, Boston, MA, 02115, USA
Publication date: 01 July 2017
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