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Homogenization theory for the effective permittivity of a turbulent tokamak plasma in the scrape-off layer

Part of: Focus on Fusion PLA 17th European Fusion Theory Conference

Published online by Cambridge University Press:  06 September 2018

F. Bairaktaris ,
K. Hizanidis ,
A. K. Ram ,
P. Papagiannis ,
C. Tsironis ,
Y. Kominis ,
E. Glytsis ,
O. Chellai ,
S. Alberti  and
I. Furno
F. Bairaktaris*
Affiliation:
National Technical University of Athens, Ir. Politechniou 9, 15780 Athens, Greece
K. Hizanidis
Affiliation:
National Technical University of Athens, Ir. Politechniou 9, 15780 Athens, Greece
A. K. Ram
Affiliation:
Plasma Science and Fusion Center, MIT, 167 Albany St, Cambridge, MA 02139, USA
P. Papagiannis
Affiliation:
National Technical University of Athens, Ir. Politechniou 9, 15780 Athens, Greece
C. Tsironis
Affiliation:
National Technical University of Athens, Ir. Politechniou 9, 15780 Athens, Greece
Y. Kominis
Affiliation:
National Technical University of Athens, Ir. Politechniou 9, 15780 Athens, Greece
E. Glytsis
Affiliation:
National Technical University of Athens, Ir. Politechniou 9, 15780 Athens, Greece
O. Chellai
Affiliation:
Swiss Plasma Center, Ecole Polytechnique Fédérale de Lausanne, Route Cantonale, 1015 Lausanne, Switzerland
S. Alberti
Affiliation:
Swiss Plasma Center, Ecole Polytechnique Fédérale de Lausanne, Route Cantonale, 1015 Lausanne, Switzerland
I. Furno
Affiliation:
Swiss Plasma Center, Ecole Polytechnique Fédérale de Lausanne, Route Cantonale, 1015 Lausanne, Switzerland
*
†Email address for correspondence: [email protected]
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Abstract

There has been a growing interest, over the past few years, on understanding the effect on radio frequency waves due to turbulence in the scrape-off layer of tokamak plasmas. While the far scrape-off layer density width is of the order of centimetres in contemporary tokamaks, in ITER (International Thermonuclear Experimental Reactor), and in future fusion reactors, the corresponding width will be of the order of tens of centimetres. As such, this could impact the spectral properties of the waves and, consequently, the transport of wave energy and momentum to the core plasma. The turbulence in the scrape-off layer spans a broad range of spatial scales and includes blobs and filaments that are elongated along the magnetic field lines. The propagation of radio frequency waves through this tenuous plasma is given by Maxwell’s equations. The characteristic properties of the plasma appear as a permittivity tensor in the expression for the current in Ampere’s equation. This paper develops a formalism for expressing the permittivity of a turbulent plasma using the homogenization technique. This technique has been extensively used to express the dielectric properties of composite materials that are spatially inhomogeneous, for example, due to the presence of micro-structures. In a similar vein, the turbulent plasma in the scrape-off layer is spatially inhomogeneous and can be considered as a composite material in which the micro-structures are filaments and blobs. The classical homogenization technique is not appropriate for the magnetized plasma in the scrape-off layer, as the radio frequency waves span a broad range of wavelengths and frequencies – from tens of megahertz to hundreds of gigahertz. The formalism in this paper makes use of the Fourier space components of the electric and magnetic fields of the radio frequency waves for the scattered fields and fields inside the filaments and blobs. These are the eigenvectors of the dispersion matrix which, using the Green’s function approach, lead to a homogenized dielectric tensor.

Keywords

fusion plasmaplasma waves
Type
Research Article
Information
Journal of Plasma Physics , Volume 84 , Issue 5 , October 2018 , 745840501
Copyright
© Cambridge University Press 2018 

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