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Maxwell's Equations for Structures with Symmetries

✍ Scribed by Thomas Weiland; Igor Zagorodnov

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
141 KB
Volume
180
Category
Article
ISSN
0021-9991

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✦ Synopsis

Maxwell's equations for structures with arbitrary point symmetry groups are considered. It is shown that an initial boundary value problem for Maxwell's equations in a domain can be reduced to ∼N independent problems in a 1/N part of the initial domain, where N is the order of the symmetry group of the domain . This approach allows the developing of effective methods for the numerical solution of problems for structures with symmetries on the basis of any existing numerical algorithm. As virtually all numerical approaches have a more than linear dependence on the computational effort from the dimension of the problem, the approach of solving ∼N problems of size ∼1/N will result in more-efficient procedures.

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