## Abstract

A new strong mathematically rigorous and numerically efficient method for solving the boundary value problem of scalar wave diffraction by a system of infinitely thin circular ring shaped screens is proposed. The method is based on the combination of the orthogonal polynomials approach and on the ideas of the methods of analytical regularisation. The solution is generalisation of the investigation done for one ring. As a result of the suggested regularisation procedure, the initial boundary value problem was equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e. to an equation of the type (I+H)x=b, x, b∈l_{2} in the space l_{2} of square summable sequences. This equation can be solved numerically by means of a truncation method with, in principle, any required accuracy.

Original language | English |
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Title of host publication | Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 |

Publisher | IEEE Computer Society |

Pages | 39-41 |

Number of pages | 3 |

ISBN (Electronic) | 9660206216 |

DOIs | |

Publication status | Published - 1998 |

Externally published | Yes |

Event | 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 - Tbilisi, Georgia Duration: 2 Nov 1998 → 5 Nov 1998 |

### Publication series

Name | Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED |
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ISSN (Print) | 2165-3585 |

ISSN (Electronic) | 2165-3593 |

### Conference

Conference | 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 |
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Country/Territory | Georgia |

City | Tbilisi |

Period | 2/11/98 → 5/11/98 |

### Bibliographical note

Publisher Copyright:© 1998 Inst. For Appl. Prob. of Mech and Math. of NASU.