Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene
The problem of TE-polarized waves in a Goubau line (a perfectly conducting cylinder covered by a concentric layer) coated with graphene is studied. The classification of the waves existing in a Goubau line is carried out. The physical problem is reduced to solving a transmission eigenvalue problem f...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/10/12/1297 |
| _version_ | 1797379636641923072 |
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| author | Eugen Smolkin Yury Smirnov |
| author_facet | Eugen Smolkin Yury Smirnov |
| author_sort | Eugen Smolkin |
| collection | DOAJ |
| description | The problem of TE-polarized waves in a Goubau line (a perfectly conducting cylinder covered by a concentric layer) coated with graphene is studied. The classification of the waves existing in a Goubau line is carried out. The physical problem is reduced to solving a transmission eigenvalue problem for an ordinary differential equation. The conjugation conditions contain the conductivity of graphene. In this work, we take into account the nonlinearity of graphene. Spectral parameters of the problem are the propagation constants of the waveguide. The article proposes a numerical method for calculating the propagation constants of such waves. A number of numerical experiments were carried out with a Goubau line filled with a dielectric, inhomogeneous dielectric, dielectric with losses, and metamaterial. |
| first_indexed | 2024-03-08T20:25:59Z |
| format | Article |
| id | doaj.art-60ad27f1ea0c449480bfa049b1774e97 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-08T20:25:59Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-60ad27f1ea0c449480bfa049b1774e972023-12-22T14:32:40ZengMDPI AGPhotonics2304-67322023-11-011012129710.3390/photonics10121297Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with GrapheneEugen Smolkin0Yury Smirnov1Academy of Technology and Environment, University of Gävle, 801 76 Gävle, SwedenDepartment of Mathematics and Supercomputing, Penza State University, 440026 Penza, RussiaThe problem of TE-polarized waves in a Goubau line (a perfectly conducting cylinder covered by a concentric layer) coated with graphene is studied. The classification of the waves existing in a Goubau line is carried out. The physical problem is reduced to solving a transmission eigenvalue problem for an ordinary differential equation. The conjugation conditions contain the conductivity of graphene. In this work, we take into account the nonlinearity of graphene. Spectral parameters of the problem are the propagation constants of the waveguide. The article proposes a numerical method for calculating the propagation constants of such waves. A number of numerical experiments were carried out with a Goubau line filled with a dielectric, inhomogeneous dielectric, dielectric with losses, and metamaterial.https://www.mdpi.com/2304-6732/10/12/1297surface waveleaky wavecomplex waveGoubau lineMaxwell’s equationsspectrum |
| spellingShingle | Eugen Smolkin Yury Smirnov Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene Photonics surface wave leaky wave complex wave Goubau line Maxwell’s equations spectrum |
| title | Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene |
| title_full | Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene |
| title_fullStr | Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene |
| title_full_unstemmed | Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene |
| title_short | Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene |
| title_sort | numerical study of the spectrum of te polarized electromagnetic waves of a goubau line coated with graphene |
| topic | surface wave leaky wave complex wave Goubau line Maxwell’s equations spectrum |
| url | https://www.mdpi.com/2304-6732/10/12/1297 |
| work_keys_str_mv | AT eugensmolkin numericalstudyofthespectrumoftepolarizedelectromagneticwavesofagoubaulinecoatedwithgraphene AT yurysmirnov numericalstudyofthespectrumoftepolarizedelectromagneticwavesofagoubaulinecoatedwithgraphene |