Energy deposition profile of shear Alfven wave heating

K. Itoh, Sanae Itoh

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The energy deposition profile of the shear Alfven wave in a cylindrical Tokamak is obtained. The radial propagation and the absorption are solved by use of the kinetic equations for collisionless inhomogeneous plasmas. The absorption is mainly by electron Landau damping, and occurs not only at the resonance surface, k/sub ///(r)vA(r)= omega , but also in the propagation region, mod r/sub ///(r) mod VA(r)>or approximately= omega <or approximately= mod k/sub ///(r) mod ve(r) (V A:Alfven velocity, ve:electron thermal velocity, k/sub ///:parallel wave number and omega :frequency). The parameter dependence is studied and the magnetic shear and plasma profiles have important roles for the deposition profile. Efficient heating is possible if the condition k/sub ///VA approximately= omega is widely satisfied in the propagation region. The bulk heating does not always correspond to good antenna coupling, which often causes an unfavourable edge heating. For some typical parameters the energy input W approximately 1 W cm-3 is expected when the wave amplitude Br is several gauss.

Original languageEnglish
Article number007
Pages (from-to)1037-1049
Number of pages13
JournalPlasma Physics
Volume25
Issue number9
DOIs
Publication statusPublished - Dec 1 1983

Fingerprint

Shear waves
magnetohydrodynamic waves
shear
Heating
heating
propagation
profiles
Collisionless plasmas
collisionless plasmas
Landau damping
Electrons
kinetic equations
energy
electrons
antennas
Damping
Antennas
Plasmas
Kinetics
causes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Energy deposition profile of shear Alfven wave heating. / Itoh, K.; Itoh, Sanae.

In: Plasma Physics, Vol. 25, No. 9, 007, 01.12.1983, p. 1037-1049.

Research output: Contribution to journalArticle

Itoh, K. ; Itoh, Sanae. / Energy deposition profile of shear Alfven wave heating. In: Plasma Physics. 1983 ; Vol. 25, No. 9. pp. 1037-1049.
@article{2bffa74afdb5413b85252d9e89f81a7d,
title = "Energy deposition profile of shear Alfven wave heating",
abstract = "The energy deposition profile of the shear Alfven wave in a cylindrical Tokamak is obtained. The radial propagation and the absorption are solved by use of the kinetic equations for collisionless inhomogeneous plasmas. The absorption is mainly by electron Landau damping, and occurs not only at the resonance surface, k/sub ///(r)vA(r)= omega , but also in the propagation region, mod r/sub ///(r) mod VA(r)>or approximately= omega e(r) (V A:Alfven velocity, ve:electron thermal velocity, k/sub ///:parallel wave number and omega :frequency). The parameter dependence is studied and the magnetic shear and plasma profiles have important roles for the deposition profile. Efficient heating is possible if the condition k/sub ///VA approximately= omega is widely satisfied in the propagation region. The bulk heating does not always correspond to good antenna coupling, which often causes an unfavourable edge heating. For some typical parameters the energy input W approximately 1 W cm-3 is expected when the wave amplitude Br is several gauss.",
author = "K. Itoh and Sanae Itoh",
year = "1983",
month = "12",
day = "1",
doi = "10.1088/0032-1028/25/9/007",
language = "English",
volume = "25",
pages = "1037--1049",
journal = "Plasma Physics and Controlled Fusion",
issn = "0741-3335",
publisher = "IOP Publishing Ltd.",
number = "9",

}

TY - JOUR

T1 - Energy deposition profile of shear Alfven wave heating

AU - Itoh, K.

AU - Itoh, Sanae

PY - 1983/12/1

Y1 - 1983/12/1

N2 - The energy deposition profile of the shear Alfven wave in a cylindrical Tokamak is obtained. The radial propagation and the absorption are solved by use of the kinetic equations for collisionless inhomogeneous plasmas. The absorption is mainly by electron Landau damping, and occurs not only at the resonance surface, k/sub ///(r)vA(r)= omega , but also in the propagation region, mod r/sub ///(r) mod VA(r)>or approximately= omega e(r) (V A:Alfven velocity, ve:electron thermal velocity, k/sub ///:parallel wave number and omega :frequency). The parameter dependence is studied and the magnetic shear and plasma profiles have important roles for the deposition profile. Efficient heating is possible if the condition k/sub ///VA approximately= omega is widely satisfied in the propagation region. The bulk heating does not always correspond to good antenna coupling, which often causes an unfavourable edge heating. For some typical parameters the energy input W approximately 1 W cm-3 is expected when the wave amplitude Br is several gauss.

AB - The energy deposition profile of the shear Alfven wave in a cylindrical Tokamak is obtained. The radial propagation and the absorption are solved by use of the kinetic equations for collisionless inhomogeneous plasmas. The absorption is mainly by electron Landau damping, and occurs not only at the resonance surface, k/sub ///(r)vA(r)= omega , but also in the propagation region, mod r/sub ///(r) mod VA(r)>or approximately= omega e(r) (V A:Alfven velocity, ve:electron thermal velocity, k/sub ///:parallel wave number and omega :frequency). The parameter dependence is studied and the magnetic shear and plasma profiles have important roles for the deposition profile. Efficient heating is possible if the condition k/sub ///VA approximately= omega is widely satisfied in the propagation region. The bulk heating does not always correspond to good antenna coupling, which often causes an unfavourable edge heating. For some typical parameters the energy input W approximately 1 W cm-3 is expected when the wave amplitude Br is several gauss.

UR - http://www.scopus.com/inward/record.url?scp=12744275708&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12744275708&partnerID=8YFLogxK

U2 - 10.1088/0032-1028/25/9/007

DO - 10.1088/0032-1028/25/9/007

M3 - Article

VL - 25

SP - 1037

EP - 1049

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 9

M1 - 007

ER -