skip to main content

DOE PAGESDOE PAGES

Title: O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies

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:
ORCiD logo [1]
  1. New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences
Publication Date:
Grant/Contract Number:
FG02-86ER53233
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)
Research Org:
New York Univ. (NYU), NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Contributing Orgs:
Max Planck Inst. for Plasma Physics, Greifswald, (Germany)
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
OSTI Identifier:
1465479
Alternate Identifier(s):
OSTI ID: 1349335

Weitzner, Harold. O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies. United States: N. p., Web. doi:10.1063/1.4975079.
Weitzner, Harold. O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies. United States. doi:10.1063/1.4975079.
Weitzner, Harold. 2017. "O–X mode conversion in a non-symmetric torus at electron cyclotron frequencies". United States. doi: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 = {2017},
month = {2}
}