Premium
Generalized multipole technique without redundant multipoles
Author(s) -
Bandyopadhyay A. K.,
Tomassoni C.,
Mongiardo M.,
Omar A. S.
Publication year - 2005
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.588
Subject(s) - multipole expansion , singular value decomposition , stability (learning theory) , fast multipole method , rank (graph theory) , aperture (computer memory) , antenna (radio) , algorithm , computer science , french horn , mathematics , physics , acoustics , telecommunications , combinatorics , quantum mechanics , machine learning
Automatic multipoles placement in the Generalized Multipole Technique (GMT) generates also multipoles that are not necessary for obtaining accurate solutions and may prevent numerical stability. It is therefore important to find out these multipoles and to eliminate them. Two procedures for identifying the redundant multipoles are proposed by using either the singular value decomposition or the rank revealing QR decomposition. Simulation results for both cases show significant improvement in numerical stability as a result of removing the redundant multipoles. A comparison between the two methods is presented for the example of a horn antenna with a radiating elliptical aperture. Copyright © 2005 John Wiley & Sons, Ltd.