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Coatings 2017, 7(10), 170; https://doi.org/10.3390/coatings7100170

Marching-on-in-Degree Time-Domain Integral Equation Solver for Transient Electromagnetic Analysis of Graphene

1
Department of Communication Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
2
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China
3
Qualcomm Business Management (Shanghai) Co., Ltd., Shanghai 201203, China
4
Department of Information Engineering, Hefei University of Technology, Hefei 230009, China
*
Author to whom correspondence should be addressed.
Academic Editors: Timon Rabczuk and Alessandro Lavacchi
Received: 30 August 2017 / Revised: 28 September 2017 / Accepted: 13 October 2017 / Published: 17 October 2017
(This article belongs to the Special Issue Modelling and Simulation of Coating)
View Full-Text   |   Download PDF [2467 KB, uploaded 17 October 2017]   |  

Abstract

The marching-on-in-degree (MOD) time-domain integral equation (TDIE) solver for the transient electromagnetic scattering of the graphene is presented in this paper. Graphene’s dispersive surface impedance is approximated using rational function expressions of complex conjugate pole-residue pairs with the vector fitting (VF) method. Enforcing the surface impedance boundary condition, TDIE is established and solved in the MOD scheme, where the temporal surface impedance is carefully convoluted with the current. Unconditionally stable transient solution in time domain can be ensured. Wide frequency band information is obtained after the Fourier transform of the time domain solution. Numerical results validate the proposed method. View Full-Text
Keywords: graphene; vector fitting; computational electromagnetics; time-domain integral equation; marching-on-in-degree graphene; vector fitting; computational electromagnetics; time-domain integral equation; marching-on-in-degree
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Wang, Q.; Liu, H.; Wang, Y.; Jiang, Z. Marching-on-in-Degree Time-Domain Integral Equation Solver for Transient Electromagnetic Analysis of Graphene. Coatings 2017, 7, 170.

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