On the problem of normal modes of a waveguide
Various approaches to calculating normal modes of a closed waveguide are considered. A review of the literature was given, a comparison of the two formulations of this problem was made. It is shown that using a self-adjoint formulation of the problem of normal waveguide modes eliminates the occurren...
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2024-12-01
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| Series: | Discrete and Continuous Models and Applied Computational Science |
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| Online Access: | https://journals.rudn.ru/miph/article/viewFile/43668/24665 |
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| _version_ | 1850186839685595136 |
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| author | Oleg K. Kroytor Mikhail D. Malykh Leonid A. Sevastianov |
| author_facet | Oleg K. Kroytor Mikhail D. Malykh Leonid A. Sevastianov |
| author_sort | Oleg K. Kroytor |
| collection | DOAJ |
| description | Various approaches to calculating normal modes of a closed waveguide are considered. A review of the literature was given, a comparison of the two formulations of this problem was made. It is shown that using a self-adjoint formulation of the problem of normal waveguide modes eliminates the occurrence of artifacts associated with the appearance of a small imaginary additive to the eigenvalues. The implementation of this approach for a rectangular waveguide with rectangular inserts in the Sage computer algebra system is presented and tested on hybrid modes of layered waveguides. The tests showed that our program copes well with calculating the points of the dispersion curve corresponding to the hybrid modes of the waveguide. |
| format | Article |
| id | doaj-art-7744d11fe8dd4b95aa97ef18ea9946e0 |
| institution | OA Journals |
| issn | 2658-4670 2658-7149 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Discrete and Continuous Models and Applied Computational Science |
| spelling | doaj-art-7744d11fe8dd4b95aa97ef18ea9946e02025-08-20T02:16:14ZengPeoples’ Friendship University of Russia (RUDN University)Discrete and Continuous Models and Applied Computational Science2658-46702658-71492024-12-0132439540510.22363/2658-4670-2024-32-4-395-40521065On the problem of normal modes of a waveguideOleg K. Kroytor0https://orcid.org/0000-0002-5691-7331Mikhail D. Malykh1https://orcid.org/0000-0001-6541-6603Leonid A. Sevastianov2https://orcid.org/0000-0002-1856-4643RUDN UniversityRUDN UniversityRUDN UniversityVarious approaches to calculating normal modes of a closed waveguide are considered. A review of the literature was given, a comparison of the two formulations of this problem was made. It is shown that using a self-adjoint formulation of the problem of normal waveguide modes eliminates the occurrence of artifacts associated with the appearance of a small imaginary additive to the eigenvalues. The implementation of this approach for a rectangular waveguide with rectangular inserts in the Sage computer algebra system is presented and tested on hybrid modes of layered waveguides. The tests showed that our program copes well with calculating the points of the dispersion curve corresponding to the hybrid modes of the waveguide.https://journals.rudn.ru/miph/article/viewFile/43668/24665polarized electromagnetic radiationnormal modes of a waveguidespectral problem of waveguide theorydispersion curve of a waveguide |
| spellingShingle | Oleg K. Kroytor Mikhail D. Malykh Leonid A. Sevastianov On the problem of normal modes of a waveguide Discrete and Continuous Models and Applied Computational Science polarized electromagnetic radiation normal modes of a waveguide spectral problem of waveguide theory dispersion curve of a waveguide |
| title | On the problem of normal modes of a waveguide |
| title_full | On the problem of normal modes of a waveguide |
| title_fullStr | On the problem of normal modes of a waveguide |
| title_full_unstemmed | On the problem of normal modes of a waveguide |
| title_short | On the problem of normal modes of a waveguide |
| title_sort | on the problem of normal modes of a waveguide |
| topic | polarized electromagnetic radiation normal modes of a waveguide spectral problem of waveguide theory dispersion curve of a waveguide |
| url | https://journals.rudn.ru/miph/article/viewFile/43668/24665 |
| work_keys_str_mv | AT olegkkroytor ontheproblemofnormalmodesofawaveguide AT mikhaildmalykh ontheproblemofnormalmodesofawaveguide AT leonidasevastianov ontheproblemofnormalmodesofawaveguide |