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On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks [article]

Bo Wang, Zhiguo Yang, Lilian Wang, Shidong Jiang
2020 arXiv   pre-print
Such exact formulas themselves lead to accurate and efficient algorithms for computing the NRBC for domain reduction of the time-domain Maxwell's system in R^3.  ...  A second purpose of this paper is to derive a new time-domain model for the electromagnetic invisibility cloak.  ...  Xiaodan Zhao at the National Heart Centre in Singapore for the initial exploration of this topic when she was a research associate in NTU.  ... 
arXiv:2005.14197v1 fatcat:lsbktwglura3fkg5o5iutv4oya

Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics

Zhiguo Yang, Li-Lian Wang, Zhijian Rong, Bo Wang, Baile Zhang
2016 Computer Methods in Applied Mechanics and Engineering  
In this paper, we present an efficient spectral-element method (SEM) for solving general two-dimensional Helmholtz equations in anisotropic media, with particular applications in accurate simulation of  ...  This allows for the decoupling of the governing equations of inside and outside the cloaked regions.  ...  The authors would like to thank the anonymous reviewers for their valuable comments that particularly inspire the discussions of the extension of the method to three-dimensional setting.  ... 
doi:10.1016/j.cma.2015.12.020 fatcat:p2otlhaqabd7vagrl5rx4hd5y4

Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids

Bo Wang, Li-Lian Wang, Ziqing Xie
2017 Advances in Computational Mathematics  
We apply the numerical method to the simulation of three-dimensional acoustic and electromagnetic multiple scattering problems.  ...  We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical  ...  [36] introduced a new elemental mapping for conforming (curvilinear) spectral elements in simulations of polygonal invisibility cloaks involving time-harmonic Maxwell equations with non-local circular  ... 
doi:10.1007/s10444-017-9569-1 fatcat:dfq4jy4fhnapxdskvaxvwqmtta

Calculation of SPH and VSH Expansions [article]

Bo Wang, Li-Lian Wang, Ziqing Xie
2017 arXiv   pre-print
We apply the numerical method to the simulation of three-dimensional acoustic and electromagnetic multiple scattering problems.  ...  We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical  ...  [36] introduced a new elemental mapping for conforming (curvilinear) spectral elements in simulations of polygonal invisibility cloaks involving time-harmonic Maxwell equations with non-local circular  ... 
arXiv:1709.05120v1 fatcat:2gkcoi3o6fh57ifzmwdyw266de