## Abstract

Time-harmonic propagating modes in a perfectly electrically conducting
waveguide with constant cross-section ∂D and axis aligned with the
z-axis have the form u(x,y)e
^{-iωt-iγz}
where the cross-sectional function u satisfies the two-dimensional
Helmholtz equation (Δ+λ)u=0; here k denotes the wavenumber and λ = k
^{2}
-γ
^{2}
. Propagating modes occur at values λ1 ≤ λ2 ≤ λ3 ≤ ... of λ generating
non-trivial solutions of the Helmholtz equation; the cutoff wavenumbers
correspond to setting γ to zero. Now suppose that axially aligned PEC
structures of cross-section Γ are inserted in the waveguide. The
propagation constants are perturbed to values that may be denoted
λ1+Δλ1,λ2+Δλ2,...; the cutoff wavenumbers of the empty waveguide are
correspondingly perturbed. In this paper we present a reliable,
effective and efficient method to obtain the perturbed propagation
constants. It allows us to examine the inclusion of multiple strips
aligned with the z-axis, with the potential for characterizing
propagation in structures with a number of small strip inserts,
metamaterial-filled waveguides and so on.

Original language | English |
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Title of host publication | Proceedings of the 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA) |

Place of Publication | Piscataway, NJ |

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

Pages | 1049 |

Number of pages | 1 |

ISBN (Electronic) | 9781728105635, 9781728105628 |

ISBN (Print) | 9781728105642 |

DOIs | |

Publication status | Published - 2019 |

Event | 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain Duration: 9 Sept 2019 → 13 Sept 2019 |

### Conference

Conference | 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 |
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Country/Territory | Spain |

City | Granada |

Period | 9/09/19 → 13/09/19 |