Maxwell's equations for structures with symmetries
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 2 can be reduced to similar toN independent problems in a 1/N part of the initial domain, where N is the order of the symmetry group of the domain Omega. 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 similar toN problems of size similar to1/N will result in more-efficient procedures. (C) 2002 Elsevier Science (USA).
maxwell's equations symmetry finite groups