Rigorous analysis of extremely large spherical reflector antennas: EM case

E. D. Vinogradova; S. S. Vinogradov; Paul Smith

doi:10.1007/3-540-28073-1_5

Rigorous analysis of extremely large spherical reflector antennas: EM case

E. D. Vinogradova, S. S. Vinogradov, Paul Smith

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

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.

Original language	English
Title of host publication	Progress in Industrial Mathematics at ECMI 2004
Subtitle of host publication	Mathematics in Industry (The European Consortium for Mathematics in Industry)
Editors	A. Di Bucchianico, R. M. M. Mattheij, M. A. Peletier
Place of Publication	Berlin; Heidelberg
Publisher	Springer, Springer Nature
Pages	49-53
Number of pages	5
Volume	8
ISBN (Electronic)	9783540280736
ISBN (Print)	3540280723, 9783540280729
DOIs	https://doi.org/10.1007/3-540-28073-1_5
Publication status	Published - 2006
Event	13th European Symposium on Mathematics in Industry (ESMI) - Eindhoven, Netherlands Duration: 21 Jun 2004 → 25 Jun 2004

Publication series

Name	Mathematics in Industry
Publisher	Springer Verlag
Volume	8
ISSN (Print)	1612-3956

Conference

Conference	13th European Symposium on Mathematics in Industry (ESMI)
Country/Territory	Netherlands
City	Eindhoven
Period	21/06/04 → 25/06/04

Keywords

spherical reflector antenna
electromagnetics
method of regularisation
iterative methods

Access to Document

10.1007/3-540-28073-1_5

Cite this

Vinogradova, E. D., Vinogradov, S. S., & Smith, P. (2006). Rigorous analysis of extremely large spherical reflector antennas: EM case. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004: Mathematics in Industry (The European Consortium for Mathematics in Industry) (Vol. 8, pp. 49-53). (Mathematics in Industry; Vol. 8). Springer, Springer Nature. https://doi.org/10.1007/3-540-28073-1_5

Vinogradova, E. D. ; Vinogradov, S. S. ; Smith, Paul. / Rigorous analysis of extremely large spherical reflector antennas : EM case. Progress in Industrial Mathematics at ECMI 2004: Mathematics in Industry (The European Consortium for Mathematics in Industry). editor / A. Di Bucchianico ; R. M. M. Mattheij ; M. A. Peletier. Vol. 8 Berlin; Heidelberg : Springer, Springer Nature, 2006. pp. 49-53 (Mathematics in Industry).

@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",

}

Vinogradova, ED, Vinogradov, SS & Smith, P 2006, Rigorous analysis of extremely large spherical reflector antennas: EM case. in A Di Bucchianico, RMM Mattheij & MA Peletier (eds), Progress in Industrial Mathematics at ECMI 2004: Mathematics in Industry (The European Consortium for Mathematics in Industry). vol. 8, Mathematics in Industry, vol. 8, Springer, Springer Nature, Berlin; Heidelberg, pp. 49-53, 13th European Symposium on Mathematics in Industry (ESMI), Eindhoven, Netherlands, 21/06/04. https://doi.org/10.1007/3-540-28073-1_5

Rigorous analysis of extremely large spherical reflector antennas: EM case. / Vinogradova, E. D.; Vinogradov, S. S.; Smith, Paul.
Progress in Industrial Mathematics at ECMI 2004: Mathematics in Industry (The European Consortium for Mathematics in Industry). ed. / A. Di Bucchianico; R. M. M. Mattheij; M. A. Peletier. Vol. 8 Berlin; Heidelberg: Springer, Springer Nature, 2006. p. 49-53 (Mathematics in Industry; Vol. 8).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

TY - GEN

T1 - Rigorous analysis of extremely large spherical reflector antennas

T2 - 13th European Symposium on Mathematics in Industry (ESMI)

AU - Vinogradova, E. D.

AU - Vinogradov, S. S.

AU - Smith, Paul

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - spherical reflector antenna

KW - electromagnetics

KW - method of regularisation

KW - iterative methods

U2 - 10.1007/3-540-28073-1_5

DO - 10.1007/3-540-28073-1_5

M3 - Conference proceeding contribution

SN - 3540280723

SN - 9783540280729

VL - 8

T3 - Mathematics in Industry

SP - 49

EP - 53

BT - Progress in Industrial Mathematics at ECMI 2004

A2 - Di Bucchianico, A.

A2 - Mattheij, R. M. M.

A2 - Peletier, M. A.

PB - Springer, Springer Nature

CY - Berlin; Heidelberg

Y2 - 21 June 2004 through 25 June 2004

ER -

Vinogradova ED, Vinogradov SS, Smith P. Rigorous analysis of extremely large spherical reflector antennas: EM case. In Di Bucchianico A, Mattheij RMM, Peletier MA, editors, Progress in Industrial Mathematics at ECMI 2004: Mathematics in Industry (The European Consortium for Mathematics in Industry). Vol. 8. Berlin; Heidelberg: Springer, Springer Nature. 2006. p. 49-53. (Mathematics in Industry). doi: 10.1007/3-540-28073-1_5

Rigorous analysis of extremely large spherical reflector antennas: EM case

Abstract

Publication series

Conference

Keywords

Access to Document

Fingerprint

Cite this