Efficient asymptotic-phase modeling of the induced currents in the fast multipole method

In this paper, the fast‐multipole method (FMM) is applied over a 3D formulation of the integral‐equation asymptotic‐phase (IE‐AP) method. The rapid phase variations of the induced currents are included into the IE formulation by using the linearly‐phased Rao–Wilton–Glisson (RWG) basis functions, whi...

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Bibliographic Details
Published in:Microwave and optical technology letters 2006-08, Vol.48 (8), p.1594-1599
Main Authors: García-Tuñón, I., Taboada, J. M., Rodríguez, J. L., Obelleiro, F., Landesa, L.
Format: Article
Language:English
Subjects:
asymptotic methods
fast multipole method
method of moments
numerical techniques
phasefront extraction
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Summary:In this paper, the fast‐multipole method (FMM) is applied over a 3D formulation of the integral‐equation asymptotic‐phase (IE‐AP) method. The rapid phase variations of the induced currents are included into the IE formulation by using the linearly‐phased Rao–Wilton–Glisson (RWG) basis functions, which allows a drastic reduction of the required number of unknowns. The resulting matrix equation is then solved using the FMM, thus combining the efficient representation of the current using the IE‐AP formulation with the capability of FMM to reduce the computational cost of the matrix equation resolution. The joint effect is a reduction of the overall computational cost by some orders of magnitude. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 1594–1599, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21698
ISSN:0895-2477
1098-2760
DOI:10.1002/mop.21698