Symmetric Energy-Conserved S-FDTD Scheme for Two-Dimensional Maxwell’s Equations in Negative Index Metamaterials

2016 ◽  
Vol 69 (2) ◽  
pp. 696-735 ◽  
Author(s):  
Wanshan Li ◽  
Dong Liang
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Two Dimensional ◽  
Negative Index

scholarly journals Calderón problem for Maxwell's equations in two dimensions

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Oleg Y. Imanuvilov ◽  
Masahiro Yamamoto
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell Equations ◽  
Maxwell's Equations ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Global Uniqueness ◽  
Calderón Problem ◽  
Dirichlet To Neumann Map

AbstractWe prove the global uniqueness in determination of the conductivity, the permeability and the permittivity of the two-dimensional Maxwell equations by the partial Dirichlet-to-Neumann map limited to an arbitrary subboundary.

GPU-accelerated preconditioned GMRES method for two-dimensional Maxwell's equations

2017 ◽  
Vol 94 (10) ◽  
pp. 2122-2144 ◽  
Author(s):  
Jiaquan Gao ◽  
Kesong Wu ◽  
Yushun Wang ◽  
Panpan Qi ◽  
Guixia He
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Gmres Method ◽  
Two Dimensional ◽  
Preconditioned Gmres

scholarly journals Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

2021 ◽  
Author(s):  
Rainer Mandel ◽  
Robert Schippa
Keyword(s):  
Gaussian Curvature ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Smooth Surfaces ◽  
Negative Index ◽  
Elliptic Surfaces ◽  
Conical Singularities ◽  
Fourier Restriction ◽  
Time Harmonic ◽  
Homogeneous Media

AbstractWe solve time-harmonic Maxwell’s equations in anisotropic, spatially homogeneous media in intersections of $$L^p$$ L p -spaces. The material laws are time-independent. The analysis requires Fourier restriction–extension estimates for perturbations of Fresnel’s wave surface. This surface can be decomposed into finitely many components of the following three types: smooth surfaces with non-vanishing Gaussian curvature, smooth surfaces with Gaussian curvature vanishing along one-dimensional submanifolds but without flat points, and surfaces with conical singularities. Our estimates are based on new Bochner–Riesz estimates with negative index for non-elliptic surfaces.

Two-dimensional Maxwell's equations with sign-changing coefficients

2014 ◽  
Vol 79 ◽  
pp. 29-41 ◽  
Author(s):  
A.-S. Bonnet-Ben Dhia ◽  
L. Chesnel ◽  
P. Ciarlet
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Two Dimensional

scholarly journals On the Coefficients of the Singularities of the Solution of Maxwell’s Equations near Polyhedral Edges

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Boniface Nkemzi
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Numerical Approximation ◽  
Three Dimensional ◽  
Physical Domain ◽  
Two Dimensional ◽  
Explicit Formulas ◽  
Nonsmooth Domains ◽  
Crack Tips ◽  
Domains With Corners

The solution fields of Maxwell’s equations are known to exhibit singularities near corners, crack tips, edges, and so forth of the physical domain. The structures of the singular fields are well known up to some undetermined coefficients. In two-dimensional domains with corners and cracks, the unknown coefficients are real constants. However, in three-dimensional domains the unknown coefficients are functions defined along the corresponding edges. This paper proposes explicit formulas for the computation of these coefficients in the case of two-dimensional domains with corners and three-dimensional domains with straight edges. The coefficients of the singular fields along straight edges of three-dimensional domains are represented in terms of Fourier series. The formulas presented are aimed at the numerical approximation of the coefficients of the singular fields. They can also be used for the construction of adaptiveH1-nodal finite-element procedures for the efficient numerical treatment of Maxwell’s equations in nonsmooth domains.

A two-dimensional infinite element for Maxwell's equations

2000 ◽  
Vol 188 (1-3) ◽  
pp. 625-643 ◽  
Author(s):  
W. Cecot ◽  
L. Demkowicz ◽  
W. Rachowicz
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Two Dimensional ◽  
Infinite Element
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