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Multilevel evaluation of electromagnetic fields for the rapid solution of scattering problems
Author(s) -
Michielssen Eric,
Boag Amir
Publication year - 1994
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650071707
Subject(s) - scattering , electromagnetic field , physics , computational physics , electronic engineering , computer science , engineering , optics , quantum mechanics
A multilevel algorithm is presented for evaluating fields generated by given distributions of electric current. The algorithm can be used to accelerate the solution of scattering problems using the method of moments and/or boundary element methods. The algorithm exploits the limited number of degrees of freedom that characterize a field observed over a domain that is well separated from a source domain. Both the memory requirements and the computational complexity of the algorithm are O(N s log(N s )), where N s is the common number of sources and observation points. The multilevel algorithm can easily be incorporated into existing method‐of‐moments (MoM) programs. A simple physical interpretation of the algorithm is provided. © 1994 John Wiley & Sons, Inc.