### 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 |
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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 | |

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 |
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Publisher | Springer Verlag |

Volume | 8 |

ISSN (Print) | 1612-3956 |

### Conference

Conference | 13th European Symposium on Mathematics in Industry (ESMI) |
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Country | Netherlands |

City | Eindhoven |

Period | 21/06/04 → 25/06/04 |

### Keywords

- spherical reflector antenna
- electromagnetics
- method of regularisation
- iterative methods

### Cite this

*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). Berlin; Heidelberg: Springer, Springer Nature. https://doi.org/10.1007/3-540-28073-1_5