Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case
This paper focuses on the problem of monochromatic terahertz TE-polarized wave propagation in a special type of circle cylindrical waveguides, the so-called Goubau line. The outer shell of the waveguide is covered with graphene characterized by complex surface conductivity. This covering affects ele...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-10-01
|
| Series: | Photonics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2304-6732/10/11/1205 |
| _version_ | 1827638990827683840 |
|---|---|
| author | Stanislav Tikhov Dmitry Valovik |
| author_facet | Stanislav Tikhov Dmitry Valovik |
| author_sort | Stanislav Tikhov |
| collection | DOAJ |
| description | This paper focuses on the problem of monochromatic terahertz TE-polarized wave propagation in a special type of circle cylindrical waveguides, the so-called Goubau line. The outer shell of the waveguide is covered with graphene characterized by complex surface conductivity. This covering affects electromagnetic wave propagation due to the generation of a surface current in graphene. The nonlinear interaction of graphene with the electromagnetic field is taken into account via a nonlinear term involving in graphene conductivity. Starting from the rigorous formulation for Maxwell’s equations with appropriate boundary and transmission conditions, we derive the dispersion equation for propagation constants. We discuss this result and point out some methods of studying the dispersion equation analytically. At the same time, we suggest numerical experiments shedding light on how cubic nonlinearity affects electromagnetic wave propagation. |
| first_indexed | 2024-03-09T16:31:29Z |
| format | Article |
| id | doaj.art-83d0441ab7f84db693e1c66877193fdf |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-09T16:31:29Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-83d0441ab7f84db693e1c66877193fdf2023-11-24T15:01:22ZengMDPI AGPhotonics2304-67322023-10-011011120510.3390/photonics10111205Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE CaseStanislav Tikhov0Dmitry Valovik1Penza Computer Science Faculty, Department of Mathematics & Supercomputing, State University, Penza 440026, RussiaPenza Computer Science Faculty, Department of Mathematics & Supercomputing, State University, Penza 440026, RussiaThis paper focuses on the problem of monochromatic terahertz TE-polarized wave propagation in a special type of circle cylindrical waveguides, the so-called Goubau line. The outer shell of the waveguide is covered with graphene characterized by complex surface conductivity. This covering affects electromagnetic wave propagation due to the generation of a surface current in graphene. The nonlinear interaction of graphene with the electromagnetic field is taken into account via a nonlinear term involving in graphene conductivity. Starting from the rigorous formulation for Maxwell’s equations with appropriate boundary and transmission conditions, we derive the dispersion equation for propagation constants. We discuss this result and point out some methods of studying the dispersion equation analytically. At the same time, we suggest numerical experiments shedding light on how cubic nonlinearity affects electromagnetic wave propagation.https://www.mdpi.com/2304-6732/10/11/1205Maxwell’s equationselectromagnetic wavescircle cylindrical waveguideGoubau linegraphenenonlinear surface electric conductivity |
| spellingShingle | Stanislav Tikhov Dmitry Valovik Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case Photonics Maxwell’s equations electromagnetic waves circle cylindrical waveguide Goubau line graphene nonlinear surface electric conductivity |
| title | Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case |
| title_full | Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case |
| title_fullStr | Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case |
| title_full_unstemmed | Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case |
| title_short | Electromagnetic Guided Wave in Goubau Line with Graphene Covering: TE Case |
| title_sort | electromagnetic guided wave in goubau line with graphene covering te case |
| topic | Maxwell’s equations electromagnetic waves circle cylindrical waveguide Goubau line graphene nonlinear surface electric conductivity |
| url | https://www.mdpi.com/2304-6732/10/11/1205 |
| work_keys_str_mv | AT stanislavtikhov electromagneticguidedwaveingoubaulinewithgraphenecoveringtecase AT dmitryvalovik electromagneticguidedwaveingoubaulinewithgraphenecoveringtecase |