Calculation of the normal modes of closed waveguides
The aim of the work is the development of numerical methods for solving waveguiding problems of the theory of waveguides, as well as their implementation in the form of software packages focused on a wide range of practical problems from the classical issues of microwave transmission to the design o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2020-12-01
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| Series: | Discrete and Continuous Models and Applied Computational Science |
| Subjects: | |
| Online Access: | http://journals.rudn.ru/miph/article/viewFile/23697/18206 |
| _version_ | 1818237588235878400 |
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| author | Mikhail D. Malykh Dmitriy V. Divakov Alexandre A. Egorov Yaroslav Yu. Kuziv |
| author_facet | Mikhail D. Malykh Dmitriy V. Divakov Alexandre A. Egorov Yaroslav Yu. Kuziv |
| author_sort | Mikhail D. Malykh |
| collection | DOAJ |
| description | The aim of the work is the development of numerical methods for solving waveguiding problems of the theory of waveguides, as well as their implementation in the form of software packages focused on a wide range of practical problems from the classical issues of microwave transmission to the design of optical waveguides and sensors. At the same time, we strive for ease of implementation of the developed methods in computer algebra systems (Maple, Sage) or in software oriented to the finite element method (FreeFem++). The work uses the representation of electromagnetic fields in a waveguide using four potentials. These potentials do not reduce the number of sought functions, but even in the case when the dielectric permittivity and magnetic permeability are described by discontinuous functions, they turn out to be quite smooth functions. A simple check of the operability of programs by calculating the normal modes of a hollow waveguide is made. It is shown that the relative error in the calculation of the first 10 normal modes does not exceed 4%. These results indicate the efficiency of the method proposed in this article. |
| first_indexed | 2024-12-12T12:28:09Z |
| format | Article |
| id | doaj.art-fa4313d835ea41d0b46553c86f15c798 |
| institution | Directory Open Access Journal |
| issn | 2658-4670 2658-7149 |
| language | English |
| last_indexed | 2024-12-12T12:28:09Z |
| publishDate | 2020-12-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Discrete and Continuous Models and Applied Computational Science |
| spelling | doaj.art-fa4313d835ea41d0b46553c86f15c7982022-12-22T00:24:30ZengPeoples’ Friendship University of Russia (RUDN University)Discrete and Continuous Models and Applied Computational Science2658-46702658-71492020-12-01281627610.22363/2658-4670-2020-28-1-62-7618883Calculation of the normal modes of closed waveguidesMikhail D. Malykh0Dmitriy V. Divakov1Alexandre A. Egorov2Yaroslav Yu. Kuziv3Peoples’ Friendship University of Russia (RUDN University)Peoples’ Friendship University of Russia (RUDN University)A. M. Prokhorov General Physics Institute Russian Academy of SciencesPeoples’ Friendship University of Russia (RUDN University)The aim of the work is the development of numerical methods for solving waveguiding problems of the theory of waveguides, as well as their implementation in the form of software packages focused on a wide range of practical problems from the classical issues of microwave transmission to the design of optical waveguides and sensors. At the same time, we strive for ease of implementation of the developed methods in computer algebra systems (Maple, Sage) or in software oriented to the finite element method (FreeFem++). The work uses the representation of electromagnetic fields in a waveguide using four potentials. These potentials do not reduce the number of sought functions, but even in the case when the dielectric permittivity and magnetic permeability are described by discontinuous functions, they turn out to be quite smooth functions. A simple check of the operability of programs by calculating the normal modes of a hollow waveguide is made. It is shown that the relative error in the calculation of the first 10 normal modes does not exceed 4%. These results indicate the efficiency of the method proposed in this article.http://journals.rudn.ru/miph/article/viewFile/23697/18206integrated opticsclosed waveguidecomputer simulationfinite element methodfour potential method |
| spellingShingle | Mikhail D. Malykh Dmitriy V. Divakov Alexandre A. Egorov Yaroslav Yu. Kuziv Calculation of the normal modes of closed waveguides Discrete and Continuous Models and Applied Computational Science integrated optics closed waveguide computer simulation finite element method four potential method |
| title | Calculation of the normal modes of closed waveguides |
| title_full | Calculation of the normal modes of closed waveguides |
| title_fullStr | Calculation of the normal modes of closed waveguides |
| title_full_unstemmed | Calculation of the normal modes of closed waveguides |
| title_short | Calculation of the normal modes of closed waveguides |
| title_sort | calculation of the normal modes of closed waveguides |
| topic | integrated optics closed waveguide computer simulation finite element method four potential method |
| url | http://journals.rudn.ru/miph/article/viewFile/23697/18206 |
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