Paper Info
Title
Numerical Solution to Maxwell's Equations in Singular Waveguides
Abstract
This paper is devoted to the numerical solution of the instationary Maxwell equations in singularwaveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized viathe singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.
Year
DOI
Venue
2007
10.1007/978-3-540-72590-9_34
International Conference on Computational Science (4)
Keywords
Field
DocType
ingoing electromagnetic wave,strong electromagnetic field,time-dependent electromagnetic field,numerical result,numerical solution,singular subspace,smooth boundary,L-shaped waveguide,Laplace operator,instationary Maxwell equation,Numerical Solution,Singular Waveguides
Maxwell stress tensor,Computational electromagnetics,Scattering-matrix method,Mathematical analysis,Computer science,Electromagnetic field solver,Electromagnetic tensor,Electromagnetic field,Inhomogeneous electromagnetic wave equation,Maxwell's equations
Conference
Volume
ISSN
Citations 
4490
0302-9743
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Franck Assous1139.38
Patrick Ciarlet Jr.25411.07