Relativistic analysis of upper hybrid wave propagation and trapping

We investigate the impact of relativistic effects on upper hybrid (UH) waves in plasmas with thermal electrons, particularly focusing on modifications of the conditions under which UH wave trapping and related low-threshold parametric decay instabilities (PDIs) may occur. A moderately relativistic (...

Full description

Bibliographic Details
Main Authors: Hansen, S. K., Nielsen, S. K., Stober, J.
Other Authors: Massachusetts Institute of Technology. Plasma Science and Fusion Center
Format: Article
Language:en_US
Published: AIP Publishing 2023
Subjects:
Online Access:https://hdl.handle.net/1721.1/153228
_version_ 1826195144955658240
author Hansen, S. K.
Nielsen, S. K.
Stober, J.
author2 Massachusetts Institute of Technology. Plasma Science and Fusion Center
author_facet Massachusetts Institute of Technology. Plasma Science and Fusion Center
Hansen, S. K.
Nielsen, S. K.
Stober, J.
author_sort Hansen, S. K.
collection MIT
description We investigate the impact of relativistic effects on upper hybrid (UH) waves in plasmas with thermal electrons, particularly focusing on modifications of the conditions under which UH wave trapping and related low-threshold parametric decay instabilities (PDIs) may occur. A moderately relativistic (MR) dispersion relation for UH waves, valid for electron temperatures up to 25 keV and wave frequencies up to twice the electron cyclotron frequency, is obtained from previous results and shown to reduce to the warm non-relativistic result commonly used for PDI studies at low electron temperatures. The conditions under which MR UH waves propagate are then determined and compared with warm and cold plasma theory, showing a general increase in the electron density and background magnetic field strength at which the UH resonance occurs for finite electron temperatures. We next investigate the impact of the MR corrections on the possibility of UH wave trapping for X-mode electron cyclotron resonance heated (ECRH) plasmas at the ASDEX Upgrade tokamak and scaled versions of the ASDEX Upgrade parameters with core electron temperatures resembling those expected in ITER X-mode ECRH plasmas. The MR UH wave trapping conditions are virtually unchanged for ASDEX Upgrade relative to warm theory, due to the low electron temperatures, while potentially important differences between warm and MR theory exist for ITER-like core electron temperatures; cold theory is found to be insufficient in both cases. Finally, the MR dispersion relation is shown to qualitatively reproduce the PDI thresholds from warm theory for previously studied ASDEX Upgrade cases.
first_indexed 2024-09-23T10:07:59Z
format Article
id mit-1721.1/153228
institution Massachusetts Institute of Technology
language en_US
last_indexed 2024-09-23T10:07:59Z
publishDate 2023
publisher AIP Publishing
record_format dspace
spelling mit-1721.1/1532282024-01-24T21:46:18Z Relativistic analysis of upper hybrid wave propagation and trapping Hansen, S. K. Nielsen, S. K. Stober, J. Massachusetts Institute of Technology. Plasma Science and Fusion Center Condensed Matter Physics We investigate the impact of relativistic effects on upper hybrid (UH) waves in plasmas with thermal electrons, particularly focusing on modifications of the conditions under which UH wave trapping and related low-threshold parametric decay instabilities (PDIs) may occur. A moderately relativistic (MR) dispersion relation for UH waves, valid for electron temperatures up to 25 keV and wave frequencies up to twice the electron cyclotron frequency, is obtained from previous results and shown to reduce to the warm non-relativistic result commonly used for PDI studies at low electron temperatures. The conditions under which MR UH waves propagate are then determined and compared with warm and cold plasma theory, showing a general increase in the electron density and background magnetic field strength at which the UH resonance occurs for finite electron temperatures. We next investigate the impact of the MR corrections on the possibility of UH wave trapping for X-mode electron cyclotron resonance heated (ECRH) plasmas at the ASDEX Upgrade tokamak and scaled versions of the ASDEX Upgrade parameters with core electron temperatures resembling those expected in ITER X-mode ECRH plasmas. The MR UH wave trapping conditions are virtually unchanged for ASDEX Upgrade relative to warm theory, due to the low electron temperatures, while potentially important differences between warm and MR theory exist for ITER-like core electron temperatures; cold theory is found to be insufficient in both cases. Finally, the MR dispersion relation is shown to qualitatively reproduce the PDI thresholds from warm theory for previously studied ASDEX Upgrade cases. 2023-12-21T21:07:10Z 2023-12-21T21:07:10Z 2023-04-01 Article http://purl.org/eprint/type/JournalArticle 1070-664X 1089-7674 https://hdl.handle.net/1721.1/153228 S. K. Hansen, S. K. Nielsen, J. Stober, EUROfusion MST1 Team, ASDEX Upgrade Team; Relativistic analysis of upper hybrid wave propagation and trapping. Phys. Plasmas 1 April 2023; 30 (4): 042103. en_US 10.1063/5.0138249 Physics of Plasmas Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ application/pdf AIP Publishing AIP Publishing
spellingShingle Condensed Matter Physics
Hansen, S. K.
Nielsen, S. K.
Stober, J.
Relativistic analysis of upper hybrid wave propagation and trapping
title Relativistic analysis of upper hybrid wave propagation and trapping
title_full Relativistic analysis of upper hybrid wave propagation and trapping
title_fullStr Relativistic analysis of upper hybrid wave propagation and trapping
title_full_unstemmed Relativistic analysis of upper hybrid wave propagation and trapping
title_short Relativistic analysis of upper hybrid wave propagation and trapping
title_sort relativistic analysis of upper hybrid wave propagation and trapping
topic Condensed Matter Physics
url https://hdl.handle.net/1721.1/153228
work_keys_str_mv AT hansensk relativisticanalysisofupperhybridwavepropagationandtrapping
AT nielsensk relativisticanalysisofupperhybridwavepropagationandtrapping
AT stoberj relativisticanalysisofupperhybridwavepropagationandtrapping