You need JavaScript to view this

High-n helicity-induced shear Alfven eigenmodes

Technical Report:

Abstract

The high-n Helicity-induced shear Alfven Eigenmodes (HAE) are considered both analytically and numerically for the straight helical magnetic system, where n is the toroidal mode number. The eigenmode equation for the high-n HAE modes is derived along the field line and with the aid of the averaging method is shown to reduce to the Mathieu equation asymptotically. The discrete HAE modes are shown to exist inside the continuum spectrum gaps. The continuous spectrum gaps appear around {omega}{sup 2} = {omega}{sub A}{sup 2}[N(l{iota}-m)/2]{sup 2} for N = 1,2,.., where {omega}{sub A} is the toroidal Alfven transit frequency, and l, m, and {iota} are the polarity of helical coils, the toroidal pitch number of helical coils, and the rotational transform, respectively. For the same {omega}{sub A} and {iota}, the frequency of the helical continuum gap is larger than that of the continuum gap in tokamak plasmas by |l-{iota}{sup -1}m|. The polarity of helical coils l plays a crucial role in determining the spectrum gaps and the properties of the high-n HAE modes. The spectrum gaps near the magnetic axis are created by the helical ripple with circular flux surfaces for l = 1, and {>=} 3 helicals. For l = 2 helical  More>>
Publication Date:
May 01, 1992
Product Type:
Technical Report
Report Number:
NIFS-148
Reference Number:
SCA: 700340; PA: JPN-92:011120; SN: 93000918525
Resource Relation:
Other Information: PBD: May 1992
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; STELLARATORS; ALFVEN WAVES; TRAPPED-PARTICLE INSTABILITY; HELICAL CONFIGURATION; ROTATIONAL TRANSFORM; ANALYTICAL SOLUTION; NORMAL-MODE ANALYSIS; PLASMA; HELICITY; DISPERSION RELATIONS; 700340; PLASMA WAVES, OSCILLATIONS, AND INSTABILITIES
OSTI ID:
10111166
Research Organizations:
National Inst. for Fusion Science, Nagoya (Japan)
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE93753199; TRN: JP9211120
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
29 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Nakajima, N, Cheng, C Z, and Okamoto, M. High-n helicity-induced shear Alfven eigenmodes. Japan: N. p., 1992. Web.
Nakajima, N, Cheng, C Z, & Okamoto, M. High-n helicity-induced shear Alfven eigenmodes. Japan.
Nakajima, N, Cheng, C Z, and Okamoto, M. 1992. "High-n helicity-induced shear Alfven eigenmodes." Japan.
@misc{etde_10111166,
title = {High-n helicity-induced shear Alfven eigenmodes}
author = {Nakajima, N, Cheng, C Z, and Okamoto, M}
abstractNote = {The high-n Helicity-induced shear Alfven Eigenmodes (HAE) are considered both analytically and numerically for the straight helical magnetic system, where n is the toroidal mode number. The eigenmode equation for the high-n HAE modes is derived along the field line and with the aid of the averaging method is shown to reduce to the Mathieu equation asymptotically. The discrete HAE modes are shown to exist inside the continuum spectrum gaps. The continuous spectrum gaps appear around {omega}{sup 2} = {omega}{sub A}{sup 2}[N(l{iota}-m)/2]{sup 2} for N = 1,2,.., where {omega}{sub A} is the toroidal Alfven transit frequency, and l, m, and {iota} are the polarity of helical coils, the toroidal pitch number of helical coils, and the rotational transform, respectively. For the same {omega}{sub A} and {iota}, the frequency of the helical continuum gap is larger than that of the continuum gap in tokamak plasmas by |l-{iota}{sup -1}m|. The polarity of helical coils l plays a crucial role in determining the spectrum gaps and the properties of the high-n HAE modes. The spectrum gaps near the magnetic axis are created by the helical ripple with circular flux surfaces for l = 1, and {>=} 3 helicals. For l = 2 helical systems, the spectrum gaps are created by the ellipticity of the flux surfaces. These analytical results for the continuum gaps and the existence of the high-n HAE modes in the continuum gaps are confirmed numerically for the l = 2 case, and we find that the HAE modes exist for mode structures with the even and the odd parities. (author).}
place = {Japan}
year = {1992}
month = {May}
}