Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 56, pages 136-159 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Yang, Wei; Li, Jichun; Huang, Yungqing;

doi: 10.1137/16m1093835

Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks

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Abstract

The paper under review deals with an explicit finite element time domain method for modeling 2D electromagnetic cloaks of arbitrary shapes. In the first part of this paper, the authors establish the explicit cloaking material expressions in the frequency domain. Next, they deduce the time domain governing equations and they obtain methods for their solvability and numerical approach. The final section of this paper contains some numerical simulations that show the effectiveness of our cloaking model and the finite element time domain scheme.

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University of Nevada, Las Vegas
United States

Keywords

Finite element time domain method, Iterative numerical methods for linear systems, edge element, Invisibility cloak, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Maxwell's equations, Physical Sciences and Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, finite element time domain method, Edge element, invisibility cloak

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