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