O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies
Abstract
Previous work on this topic, [Weitzner, Phys. Plasmas 11, 866 (2004)], applicable in a system with toroidal symmetry, is here extended to the case of a non-symmetric background equilibrium state. Maxwell's equations with the cold plasma dielectric tensor are used to represent the plasma-electromagnetic wave interaction. Away from the mode conversion region, geometrical optics adequately characterizes the wave propagation. A new, simpler derivation of the wave equations in the mode conversion region is given. Aside from one very special case in which a general plasma equilibrium behaves like a stratified medium, the previous results apply and highly effective mode conversion is found. The matching of the mode conversion solution to the geometrical optics solution, not previously examined, is discussed. A relatively weak condition on the perpendicular wave number near the resonance layer is found. Provided that the perpendicular wave number is small, it tends to zero at the mode conversion layer and the solutions match effectively.
- Authors:
-
- New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences
- Publication Date:
- Research Org.:
- New York Univ. (NYU), NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- Contributing Org.:
- Max Planck Inst. for Plasma Physics, Greifswald, (Germany)
- OSTI Identifier:
- 1465479
- Alternate Identifier(s):
- OSTI ID: 1349335
- Grant/Contract Number:
- FG02-86ER53233
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; 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; geometrical optics; dielectrics; Maxwell equations; frequency analyzers; solution processes; tensor methods; plasma waves; numerical solutions; wave propagation; wave equations
Citation Formats
Weitzner, Harold. O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies. United States: N. p., 2017.
Web. doi:10.1063/1.4975079.
Weitzner, Harold. O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies. United States. https://doi.org/10.1063/1.4975079
Weitzner, Harold. Wed .
"O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies". United States. https://doi.org/10.1063/1.4975079. https://www.osti.gov/servlets/purl/1465479.
@article{osti_1465479,
title = {O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies},
author = {Weitzner, Harold},
abstractNote = {Previous work on this topic, [Weitzner, Phys. Plasmas 11, 866 (2004)], applicable in a system with toroidal symmetry, is here extended to the case of a non-symmetric background equilibrium state. Maxwell's equations with the cold plasma dielectric tensor are used to represent the plasma-electromagnetic wave interaction. Away from the mode conversion region, geometrical optics adequately characterizes the wave propagation. A new, simpler derivation of the wave equations in the mode conversion region is given. Aside from one very special case in which a general plasma equilibrium behaves like a stratified medium, the previous results apply and highly effective mode conversion is found. The matching of the mode conversion solution to the geometrical optics solution, not previously examined, is discussed. A relatively weak condition on the perpendicular wave number near the resonance layer is found. Provided that the perpendicular wave number is small, it tends to zero at the mode conversion layer and the solutions match effectively.},
doi = {10.1063/1.4975079},
journal = {Physics of Plasmas},
number = 2,
volume = 24,
place = {United States},
year = {Wed Feb 08 00:00:00 EST 2017},
month = {Wed Feb 08 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Electron Bernstein Wave Emission from an Overdense Plasma at the W7-AS Stellarator
journal, September 1998
- Laqua, H. P.; Hartfuß, H. J.
- Physical Review Letters, Vol. 81, Issue 10
Electron-Bernstein-Wave Current Drive in an Overdense Plasma at the Wendelstein 7-AS Stellarator
journal, February 2003
- Laqua, H. P.; Maassberg, H.; Marushchenko, N. B.
- Physical Review Letters, Vol. 90, Issue 7
Conversion between cold plasma modes in an inhomogeneous plasma
journal, January 1979
- Weitzner, Harold; Batchelor, D. B.
- Physics of Fluids, Vol. 22, Issue 7
Penetration of high-frequency waves into a weakly inhomogeneous magnetized plasma at oblique incidence and their transformation to Bernstein modes
journal, August 1973
- Preinhaelter, J.; Kopecký, V.
- Journal of Plasma Physics, Vol. 10, Issue 1
Resonant and Nonresonant Electron Cyclotron Heating at Densities above the Plasma Cutoff by O-X-B Mode Conversion at the W7-As Stellarator
journal, May 1997
- Laqua, H. P.; Erckmann, V.; Hartfuß, H. J.
- Physical Review Letters, Vol. 78, Issue 18
O-X mode conversion in an axisymmetric plasma at electron cyclotron frequencies
journal, March 2004
- Weitzner, Harold
- Physics of Plasmas, Vol. 11, Issue 3
Analytical solution of the O–X mode conversion problem
journal, April 2010
- Volpe, Francesco
- Physics Letters A, Vol. 374, Issue 15-16