## Abstract

The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system which simplifies the solution of the stated problem. Considering the diffraction problem on concrete objects and calculating the frequency characteristic for them, the resonant frequencies are determined, corresponding to their eigen values, at which the inner resonant field is excited as a standing wave. The obtained results confirm the efficiency of the proposed algorithm.

Original language | English |
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Title of host publication | DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings |

Publisher | IEEE Computer Society |

Pages | 13-17 |

Number of pages | 5 |

ISBN (Electronic) | 9789660275416 |

DOIs | |

Publication status | Published - 10 Nov 2015 |

Externally published | Yes |

Event | 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015 - Lviv, Ukraine Duration: 21 Sept 2015 → 24 Sept 2015 |

### Publication series

Name | Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED |
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Volume | 2015-November |

ISSN (Print) | 2165-3585 |

ISSN (Electronic) | 2165-3593 |

### Conference

Conference | 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015 |
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Country/Territory | Ukraine |

City | Lviv |

Period | 21/09/15 → 24/09/15 |

### Bibliographical note

Publisher Copyright:© 2015 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics.

## Keywords

- eigen field
- eigen frequency
- MAS
- resonance
- resonator