Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide
A linear theory for the electromagnetic properties and interactions of an annular beam-ion channel system in plasma waveguide is presented. The dispersion relations for two families of propagating modes, including the electrostatic and transverse magnetic modes, are derived. The dependencies of the...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/8141549 |
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| author | Jixiong Xiao Zhijiang Wang Jun Chen Changhai Liu |
| author_facet | Jixiong Xiao Zhijiang Wang Jun Chen Changhai Liu |
| author_sort | Jixiong Xiao |
| collection | DOAJ |
| description | A linear theory for the electromagnetic properties and interactions of an annular beam-ion channel system in plasma waveguide is presented. The dispersion relations for two families of propagating modes, including the electrostatic and transverse magnetic modes, are derived. The dependencies of the dispersion behavior and interaction for different wave modes on the thickness of the annular beam and betatron oscillation frequency are studied in detail by numerical calculations. The results show that the inner and outer radii of the beam have different influences on propagation properties of the electrostatic and electromagnetic modes with different betatron oscillation parameters. In the weak ion channel situation, the two types of electrostatic waves, that is, space charge and betatron modes, have no interaction with the transverse magnetic modes. However, in the strong ion channel situation, the transverse magnetic modes will have two branches and a low frequency mode emerged as the new branch. In this case, compared with the solid beam case, the betatron modes not only can interact with the high frequency branch at small wavenumber but also can interact with the low frequency branch at large wavenumber. |
| format | Article |
| id | doaj-art-098427e092fa423196bdc9800f0fb858 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-098427e092fa423196bdc9800f0fb8582025-02-03T05:49:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/81415498141549Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma WaveguideJixiong Xiao0Zhijiang Wang1Jun Chen2Changhai Liu3Institute of Fusion and Plasma Research, Huazhong University of Science and Technology, Luoyu Road 1037, Hubei, Wuhan 430074, ChinaInstitute of Fusion and Plasma Research, Huazhong University of Science and Technology, Luoyu Road 1037, Hubei, Wuhan 430074, ChinaSchool of Electrical and Electronic Engineering, Hubei University of Technology, Nan Li Road 28, Hubei, Wuhan 430068, ChinaInstitute of Fusion and Plasma Research, Huazhong University of Science and Technology, Luoyu Road 1037, Hubei, Wuhan 430074, ChinaA linear theory for the electromagnetic properties and interactions of an annular beam-ion channel system in plasma waveguide is presented. The dispersion relations for two families of propagating modes, including the electrostatic and transverse magnetic modes, are derived. The dependencies of the dispersion behavior and interaction for different wave modes on the thickness of the annular beam and betatron oscillation frequency are studied in detail by numerical calculations. The results show that the inner and outer radii of the beam have different influences on propagation properties of the electrostatic and electromagnetic modes with different betatron oscillation parameters. In the weak ion channel situation, the two types of electrostatic waves, that is, space charge and betatron modes, have no interaction with the transverse magnetic modes. However, in the strong ion channel situation, the transverse magnetic modes will have two branches and a low frequency mode emerged as the new branch. In this case, compared with the solid beam case, the betatron modes not only can interact with the high frequency branch at small wavenumber but also can interact with the low frequency branch at large wavenumber.http://dx.doi.org/10.1155/2017/8141549 |
| spellingShingle | Jixiong Xiao Zhijiang Wang Jun Chen Changhai Liu Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide Advances in Mathematical Physics |
| title | Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide |
| title_full | Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide |
| title_fullStr | Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide |
| title_full_unstemmed | Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide |
| title_short | Electromagnetic Waves Dispersion and Interaction of an Annular Beam-Ion Channel System in Plasma Waveguide |
| title_sort | electromagnetic waves dispersion and interaction of an annular beam ion channel system in plasma waveguide |
| url | http://dx.doi.org/10.1155/2017/8141549 |
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