@inproceedings{c95c4d1944344aa9a26ba99599c485e2,

title = "Rigorous analysis of extremely large spherical reflector antennas: EM case",

abstract = "The transmitting spherical reflector antenna (SRA) has a well-known rigorous solution form as a second kind Fredholm system that is well conditioned when truncated to a finite system. The size of such systems for extremely large SRAs require specially designed highly efficient numerical algorithms to make their analysis feasible. Two significant features of the system are that its convolution format admits a computationally rapid implementation of the bi-conjugate gradient method, and at high frequencies, a certain decoupling occurs. These features allow an effective numerical treatment of apertures some thousands of wavelengths.",

keywords = "spherical reflector antenna, electromagnetics, method of regularisation, iterative methods",

author = "Vinogradova, {E. D.} and Vinogradov, {S. S.} and Paul Smith",

year = "2006",

doi = "10.1007/3-540-28073-1_5",

language = "English",

isbn = "3540280723",

volume = "8",

series = "Mathematics in Industry",

publisher = "Springer, Springer Nature",

pages = "49--53",

editor = "{Di Bucchianico}, A. and Mattheij, {R. M. M.} and Peletier, {M. A.}",

booktitle = "Progress in Industrial Mathematics at ECMI 2004",

address = "United States",

note = "13th European Symposium on Mathematics in Industry (ESMI) ; Conference date: 21-06-2004 Through 25-06-2004",

}