Title :
Comparison of the fast multipole method and low rank IE-QR algorithm in the analysis of electromagnetic field in the focal region of a parabolic reflector
Author :
Gluchowski, Pawel ; Kucharski, Andrzej A.
Author_Institution :
Wroclaw Univ. of Technol., Wroclaw, Poland
Abstract :
This paper describes scattered field calculation in the focal region of a parabolic reflector under uniform plane wave illumination. Method-of-moments (MoM) with integral equations method (IE) is used to calculate the current induced on the reflector. Paraboloid antennas are electrically large objects, so linear equations contain a large number of unknowns (tens of thousands or hundreds). To speed up solution the fast multipole method (FMM) and low rank IE-QR algorithm are involved. Results for ideal and distorted reflectors obtained by MoM, FMM, low rank IE-QR are given and compared with calculations done by other authors.
Keywords :
electromagnetic fields; electromagnetic wave scattering; integral equations; method of moments; reflector antennas; distorted reflector; electrically large object; electromagnetic field analysis; fast multipole method; focal region; integral equation method; linear equation; low rank IE-QR algorithm; method-of-moment; parabolic reflector; paraboloid antenna; scattered field calculation; uniform plane wave illumination; Algorithm design and analysis; Moment methods; Reflector antennas; Surface impedance; Surface waves; Vectors;
Conference_Titel :
Antennas and Propagation Conference (LAPC), 2011 Loughborough
Conference_Location :
Loughborough
Print_ISBN :
978-1-4577-1014-8
Electronic_ISBN :
978-1-4577-1015-5
DOI :
10.1109/LAPC.2011.6114096