Modelling Leaky Waves in Planar Dielectric Waveguides
Experimentally observed leaky modes of a dielectric waveguide are characterised by a weak tunnelling of the light through the waveguide and its long-time propagation along the waveguide. Traditional mathematical models of leaky waveguide modes meet some contradictions resolved using additional consi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2020/02/epjconf_mmcp2019_02003.pdf |
| _version_ | 1819146495248564224 |
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| author | Ayryan Edik Divakov Dmitry Egorov Alexandre Lovetskiy Konstantin Sevastianov Leonid |
| author_facet | Ayryan Edik Divakov Dmitry Egorov Alexandre Lovetskiy Konstantin Sevastianov Leonid |
| author_sort | Ayryan Edik |
| collection | DOAJ |
| description | Experimentally observed leaky modes of a dielectric waveguide are characterised by a weak tunnelling of the light through the waveguide and its long-time propagation along the waveguide. Traditional mathematical models of leaky waveguide modes meet some contradictions resolved using additional considerations. We propose a model of leaky modes in a waveguide free from the above contradictions, akin to the quantum mechanical model of the “pseudo-stable” Gamow-Siegert states.
By separating variables, from the complete problem for plane inhomogeneous waves we obtain a non-self-adjoint Sturm-Liouville problem to determine the complex coefficient of the phase delay of the studied mode. The solution of the complete wave problem determines the propagation cone for the leaky mode of the waveguide, inside which there are no contradictions. Thus, solution is in qualitative agreement with experimental data. |
| first_indexed | 2024-12-22T13:14:50Z |
| format | Article |
| id | doaj.art-caeb6c1788fb4917ae8b6c6f91a8bf82 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-22T13:14:50Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-caeb6c1788fb4917ae8b6c6f91a8bf822022-12-21T18:24:40ZengEDP SciencesEPJ Web of Conferences2100-014X2020-01-012260200310.1051/epjconf/202022602003epjconf_mmcp2019_02003Modelling Leaky Waves in Planar Dielectric WaveguidesAyryan EdikDivakov DmitryEgorov AlexandreLovetskiy KonstantinSevastianov LeonidExperimentally observed leaky modes of a dielectric waveguide are characterised by a weak tunnelling of the light through the waveguide and its long-time propagation along the waveguide. Traditional mathematical models of leaky waveguide modes meet some contradictions resolved using additional considerations. We propose a model of leaky modes in a waveguide free from the above contradictions, akin to the quantum mechanical model of the “pseudo-stable” Gamow-Siegert states. By separating variables, from the complete problem for plane inhomogeneous waves we obtain a non-self-adjoint Sturm-Liouville problem to determine the complex coefficient of the phase delay of the studied mode. The solution of the complete wave problem determines the propagation cone for the leaky mode of the waveguide, inside which there are no contradictions. Thus, solution is in qualitative agreement with experimental data.https://www.epj-conferences.org/articles/epjconf/pdf/2020/02/epjconf_mmcp2019_02003.pdf |
| spellingShingle | Ayryan Edik Divakov Dmitry Egorov Alexandre Lovetskiy Konstantin Sevastianov Leonid Modelling Leaky Waves in Planar Dielectric Waveguides EPJ Web of Conferences |
| title | Modelling Leaky Waves in Planar Dielectric Waveguides |
| title_full | Modelling Leaky Waves in Planar Dielectric Waveguides |
| title_fullStr | Modelling Leaky Waves in Planar Dielectric Waveguides |
| title_full_unstemmed | Modelling Leaky Waves in Planar Dielectric Waveguides |
| title_short | Modelling Leaky Waves in Planar Dielectric Waveguides |
| title_sort | modelling leaky waves in planar dielectric waveguides |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2020/02/epjconf_mmcp2019_02003.pdf |
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