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

fYear

2011

fDate

14-15 Nov. 2011

Firstpage

1

Lastpage

4

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/LAPC.2011.6114096

Filename

6114096