### Abstract

When a perfectly electrically conducting (PEC) waveguide is perturbed by the insertion of a PEC structure aligned with its axis, its propagation constants are perturbed. Two complementary approaches to the determination of change induced by the insert are described. The first provides an analytic estimate when the insert is a small flat strip. The second approach converts the underlying boundary value problem to a homogeneous Fredholm matrix equation in which the propagation constants are found from the roots of the determinant of the matrix and stable numerical processes may be employed to find the propagation constants. The second approach is not constrained by the size or shape of the inserts, and thus provides an independent estimate of the accuracy of the analytic estimate of perturbation to the propagation constants of the empty waveguide; it also determines the empty waveguide parameters themselves.

Original language | English |
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Title of host publication | International Conference on Electromagnetics in Advanced Applications (ICEAA) 2017 |

Place of Publication | Piscataway, NJ |

Publisher | Institute of Electrical and Electronics Engineers (IEEE) |

Pages | 1727-1730 |

Number of pages | 4 |

ISBN (Electronic) | 9781509044511 |

ISBN (Print) | 9781509044528 |

DOIs | |

Publication status | Published - 12 Oct 2017 |

Event | 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017 - Verona, Italy Duration: 11 Sep 2017 → 15 Sep 2017 |

### Conference

Conference | 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017 |
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Country | Italy |

City | Verona |

Period | 11/09/17 → 15/09/17 |

### Keywords

- Propagation constant
- Integral equations
- Eigenvalues and eigenfunctions
- Kernel
- Strips
- Matrix converters
- Transmission line matrix methods

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## Cite this

Smith, P. D., Vinogradova, E. D., & Shestopalov, Y. (2017). A regularized approach to the calculation of the propagation modes in a perturbed waveguide. In

*International Conference on Electromagnetics in Advanced Applications (ICEAA) 2017*(pp. 1727-1730). [8065627] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICEAA.2017.8065627