Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas
In tokamak fusion plasmas, coherent fluctuations in the form of blobs or filaments are routinely observed in the scrape-off layer. Radio frequency (RF) electromagnetic waves, excited by antenna structures placed near the wall of a tokamak, have to propagate through the scrape-off layer before reachi...
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American Institute of Physics (AIP)
2017
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Online Access: | http://hdl.handle.net/1721.1/111209 |
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author | Hizanidis, Kyriakos Ram, Abhay Kumar |
author2 | Massachusetts Institute of Technology. Plasma Science and Fusion Center |
author_facet | Massachusetts Institute of Technology. Plasma Science and Fusion Center Hizanidis, Kyriakos Ram, Abhay Kumar |
author_sort | Hizanidis, Kyriakos |
collection | MIT |
description | In tokamak fusion plasmas, coherent fluctuations in the form of blobs or filaments are routinely observed in the scrape-off layer. Radio frequency (RF) electromagnetic waves, excited by antenna structures placed near the wall of a tokamak, have to propagate through the scrape-off layer before reaching the core of the plasma. While the effect of fluctuations on the properties of RF waves has not been quantified experimentally, it is of interest to carry out a theoretical study to determine if fluctuations can affect the propagation characteristics of RF waves. Usually, the difference between the plasma density inside the filament and the background plasma density is sizable, the ratio of the density difference to the background density being of order one. Generally, this precludes the use of geometrical optics in determining the effect of fluctuations, since the relevant ratio has to be much less than one, typically, of the order of 10% or less. In this paper, a full-wave, analytical model is developed for the scattering of a RF plane wave by a cylindrical plasma filament. It is assumed that the plasma inside and outside the filament is cold and uniform and that the major axis of the filament is aligned along the toroidal magnetic field. The ratio of the density inside the filament to the density of the background plasma is not restricted. The theoretical framework applies to the scattering of any cold plasma wave. In order to satisfy the boundary conditions at the interface between the filament and the background plasma, the electromagnetic fields inside and outside the filament need to have the same k[subscript ∥], the wave vector parallel to the ambient magnetic field, as the incident plane wave. Consequently, in contrast to the scattering of a RF wave by a spherical blob [Ram et al., Phys. Plasmas 20, 056110-1–056110-10 (2013)], the scattering by a field-aligned filament does not broaden the k∥ spectrum. However, the filament induces side-scattering leading to surface waves and can also couple some power to the cold plasma wave different from the incident wave. The changes induced by a filament in the propagation of electron cyclotron waves and lower hybrid waves are illustrated by numerical results displaying the properties of the Poynting vector. The Poynting flux in the wake of the filament, and directed towards the core of the plasma, develops a spatial structure due to diffraction and shadowing. Thus, the fluctuations affect the uniformity of power flow into the plasma. |
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institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T16:00:46Z |
publishDate | 2017 |
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spelling | mit-1721.1/1112092022-10-02T05:44:38Z Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas Hizanidis, Kyriakos Ram, Abhay Kumar Massachusetts Institute of Technology. Plasma Science and Fusion Center Ram, Abhay Kumar In tokamak fusion plasmas, coherent fluctuations in the form of blobs or filaments are routinely observed in the scrape-off layer. Radio frequency (RF) electromagnetic waves, excited by antenna structures placed near the wall of a tokamak, have to propagate through the scrape-off layer before reaching the core of the plasma. While the effect of fluctuations on the properties of RF waves has not been quantified experimentally, it is of interest to carry out a theoretical study to determine if fluctuations can affect the propagation characteristics of RF waves. Usually, the difference between the plasma density inside the filament and the background plasma density is sizable, the ratio of the density difference to the background density being of order one. Generally, this precludes the use of geometrical optics in determining the effect of fluctuations, since the relevant ratio has to be much less than one, typically, of the order of 10% or less. In this paper, a full-wave, analytical model is developed for the scattering of a RF plane wave by a cylindrical plasma filament. It is assumed that the plasma inside and outside the filament is cold and uniform and that the major axis of the filament is aligned along the toroidal magnetic field. The ratio of the density inside the filament to the density of the background plasma is not restricted. The theoretical framework applies to the scattering of any cold plasma wave. In order to satisfy the boundary conditions at the interface between the filament and the background plasma, the electromagnetic fields inside and outside the filament need to have the same k[subscript ∥], the wave vector parallel to the ambient magnetic field, as the incident plane wave. Consequently, in contrast to the scattering of a RF wave by a spherical blob [Ram et al., Phys. Plasmas 20, 056110-1–056110-10 (2013)], the scattering by a field-aligned filament does not broaden the k∥ spectrum. However, the filament induces side-scattering leading to surface waves and can also couple some power to the cold plasma wave different from the incident wave. The changes induced by a filament in the propagation of electron cyclotron waves and lower hybrid waves are illustrated by numerical results displaying the properties of the Poynting vector. The Poynting flux in the wake of the filament, and directed towards the core of the plasma, develops a spatial structure due to diffraction and shadowing. Thus, the fluctuations affect the uniformity of power flow into the plasma. United States. Department of Energy (Grant DE-FG02-91ER-54109) United States. Department of Energy (Grant DE-FG02-99ER-54525-NSTX) United States. Department of Energy (Grant DE-FC02-01ER54648) 2017-09-14T18:17:18Z 2017-09-14T18:17:18Z 2016-02 2015-11 Article http://purl.org/eprint/type/JournalArticle 1070-664X 1089-7674 http://hdl.handle.net/1721.1/111209 Ram, Abhay K., and Hizanidis, Kyriakos. “Scattering of Radio Frequency Waves by Cylindrical Density Filaments in Tokamak Plasmas.” Physics of Plasmas 23, 2 (February 2016): 022504 © 2016 AIP Publishing en_US http://dx.doi.org/10.1063/1.4941588 Physics of Plasmas Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Physics (AIP) MIT Plasma Science & Fusion Center |
spellingShingle | Hizanidis, Kyriakos Ram, Abhay Kumar Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
title | Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
title_full | Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
title_fullStr | Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
title_full_unstemmed | Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
title_short | Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
title_sort | scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas |
url | http://hdl.handle.net/1721.1/111209 |
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