DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas

Abstract

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 study, 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 alongmore » 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, 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. Finally and thus, the fluctuations affect the uniformity of power flow into the plasma.« less

Authors:
 [1]; ORCiD logo [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
  2. National Technical Univ. of Athens, Zografou (Greece). School of Electrical and Computer Engineering
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); National Technical Univ. of Athens, Zografou (Greece)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); European Union (EU)
OSTI Identifier:
1469318
Alternate Identifier(s):
OSTI ID: 1237986
Grant/Contract Number:  
FC02-01ER54648; FG02-91ER54109; FG02-99ER54525; CfP-WP14-ER-01/Swiss Confederation-03; SEP-210130335
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 2; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma waves; plasma confinement; surface waves; plasma density; tokamaks; RF waves; electromagnetism; electrodynamics; leptons; cyclotrons

Citation Formats

Ram, Abhay K., and Hizanidis, Kyriakos. Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas. United States: N. p., 2016. Web. doi:10.1063/1.4941588.
Ram, Abhay K., & Hizanidis, Kyriakos. Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas. United States. https://doi.org/10.1063/1.4941588
Ram, Abhay K., and Hizanidis, Kyriakos. Fri . "Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas". United States. https://doi.org/10.1063/1.4941588. https://www.osti.gov/servlets/purl/1469318.
@article{osti_1469318,
title = {Scattering of radio frequency waves by cylindrical density filaments in tokamak plasmas},
author = {Ram, Abhay K. and Hizanidis, Kyriakos},
abstractNote = {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 study, 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∥, 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. Finally and thus, the fluctuations affect the uniformity of power flow into the plasma.},
doi = {10.1063/1.4941588},
journal = {Physics of Plasmas},
number = 2,
volume = 23,
place = {United States},
year = {2016},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 38 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Radially propagating fluctuation structures in the scrape-off layer of Alcator C-Mod
journal, January 2006

  • Grulke, O.; Terry, J. L.; LaBombard, B.
  • Physics of Plasmas, Vol. 13, Issue 1
  • DOI: 10.1063/1.2164991

On scrape off layer plasma transport
journal, May 2001


Vector spherical harmonics and their application to magnetostatics
journal, October 1985


Blob birth and transport in the tokamak edge plasma: Analysis of imaging data
journal, September 2006

  • Myra, J. R.; D’Ippolito, D. A.; Stotler, D. P.
  • Physics of Plasmas, Vol. 13, Issue 9
  • DOI: 10.1063/1.2355668

Saturation mechanisms for edge turbulence
journal, December 2009

  • Russell, D. A.; Myra, J. R.; D’Ippolito, D. A.
  • Physics of Plasmas, Vol. 16, Issue 12
  • DOI: 10.1063/1.3270051

Scattering of radio frequency waves by blobs in tokamak plasmas
journal, May 2013

  • Ram, Abhay K.; Hizanidis, Kyriakos; Kominis, Yannis
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4803898

Time-dependent 2-D modeling of edge plasma transport with high intermittency due to blobs
journal, July 2012

  • Pigarov, A. Yu.; Krasheninnikov, S. I.; Rognlien, T. D.
  • Physics of Plasmas, Vol. 19, Issue 7
  • DOI: 10.1063/1.4739464

Structure and motion of edge turbulence in the National Spherical Torus Experiment and Alcator C-Mod
journal, May 2006

  • Zweben, S. J.; Maqueda, R. J.; Terry, J. L.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2177132

Edge turbulence measurements in toroidal fusion devices
journal, June 2007


High-speed imaging of edge turbulence in NSTX
journal, December 2003


Fokker–Planck description of the scattering of radio frequency waves at the plasma edge
journal, February 2010

  • Hizanidis, Kyriakos; Ram, Abhay K.; Kominis, Yannis
  • Physics of Plasmas, Vol. 17, Issue 2
  • DOI: 10.1063/1.3304241

Light Scattering by Small Particles
journal, December 1957

  • Van de Hulst, H. C.; Twersky, V.
  • Physics Today, Vol. 10, Issue 12
  • DOI: 10.1063/1.3060205

Scattering of electromagnetic waves by a plasma sphere embedded in a magnetized plasma
journal, October 2013


Classical Electrodynamics, 3rd ed .
journal, September 1999

  • Jackson, J. D.; Fox, Ronald F.
  • American Journal of Physics, Vol. 67, Issue 9
  • DOI: 10.1119/1.19136

Light scattering by small particles
journal, March 1998

  • Huber, E.; Frost, M.
  • Journal of Water Supply: Research and Technology—AQUA, Vol. 47, Issue 2
  • DOI: 10.2166/aqua.1998.14

Works referencing / citing this record:

Diffraction of radio frequency waves by spatially modulated interfaces in the plasma edge in tokamaks
journal, June 2019


Resonance scattering of an extraordinary wave by a cylindrical density depletion in a magnetoplasma
journal, October 2018

  • Ivoninsky, Alexander V.; Kudrin, Alexander V.
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5054687

Filament-assisted mode conversion in magnetized plasmas
journal, January 2020

  • Tierens, W.; Zhang, W.; Myra, J. R.
  • Physics of Plasmas, Vol. 27, Issue 1
  • DOI: 10.1063/1.5128070

Microwave beam broadening due to turbulent plasma density fluctuations within the limit of the Born approximation and beyond
journal, May 2018

  • Köhn, A.; Guidi, L.; Holzhauer, E.
  • Plasma Physics and Controlled Fusion, Vol. 60, Issue 7
  • DOI: 10.1088/1361-6587/aac000

Mode-conversion of the extraordinary wave at the upper hybrid resonance in the presence of small-amplitude density fluctuations
journal, November 2018


From a reflectrometry code to a ‘standard’ EC code to investigate the impact of the edge density fluctuations on the EC waves propagation
journal, September 2019

  • Bertelli, N.; Kramer, G. J.; Valeo, E. J.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 10
  • DOI: 10.1088/1361-6587/ab4106

Full-wave model for the lower hybrid wave electric field vector with synthetic turbulence on Alcator C-Mod
journal, January 2020


Redirection of radio-frequency power flow by filaments
journal, February 2020