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An Integral Equation Based Computational Model for Simulating Substrate-Supported 2D Sheet Structures

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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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Keywords: Domain Decomposition Method (DDM); Graphene; Integral Equation (IE)-Based Methods; Metamaterials; Numerical Analysis; Surface Waves; Two-Dimensional (2-D) Materials

Document Type: Research Article

Affiliations: Metamaterials Lab, Electrical and Computer Engineering Department, Northeastern University, Boston, MA, 02115, USA

Publication date: July 1, 2017

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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