Efficient Generation of Aggregative Basis Functions in the Marching-on-in-Degree Time-Domain Integral Equation Solver

Wang, Quan-Quan; Liu, Zhiwei; Shi, Yifei; Zhang, Huan‐Huan; Chen, Rushan

doi:10.1080/02726343.2013.792720

Cited by 3 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The marching-on-in-degree (MOD) scheme [19][20][21][22][23][24][25] uses weighted Laguerre polynomials (WLPs) as the temporal basis functions, and involves no late-time instability, which may be encountered in the marching-on-in-time (MOT) scheme [26][27][28]. Generally, when handling resonant structures with a long tail current, many more degrees of WLPs are required.…”

Section: Introductionmentioning

confidence: 99%

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

Wang

Liu

Wang³

et al. 2017

Coatings

View full text Add to dashboard Cite

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.

show abstract