TY - JOUR
T1 - Ray-tracing through EC resonance and the wave energy flux
JF - Fusion Engineering and Design
Y1 - 2001
A1 - Westerhof, E.
A1 - Tokman, M. D.
A1 - Gavrilova, M. A.
AB - A paradox in the theory of wave propagation through electron cyclotron (EC) resonance is noted: absorption is weak as required for the validity of WKB theory or geometric optics, yet the wave power flux given by the theory is in clear disagreement with the predicted ray-trajectories. The paradox is traced to the large anti-Hermitian parts of the dielectric tensor near resonance. The latter are shown to modify the wave power flux. The modified flux is in agreement with the ray-trajectories. (C) 2001 Elsevier Science B.V. All rights reserved.
VL - 53
SN - 0920-3796
U5 - c090b499a95db2fa4215dca7007030c3
ER -
TY - JOUR
T1 - Wave power flux and ray-tracing in regions of resonant absorption
JF - Plasma Physics and Controlled Fusion
Y1 - 2000
A1 - Tokman, M. D.
A1 - Westerhof, E.
A1 - Gavrilova, M. A.
AB - The propagation of waves in weakly dissipative plasmas is investigated. A new expression for the wave energy flux is obtained, which is proportional to partial derivative lambda'(mode)/partial derivative k, where lambda'(mode) is the real part of the eigenvalue of the dispersion tensor corresponding to the wave mode. Significant differences from the usual definition of dielectric wave energy flux occur in case of a non-negligible anti-Hermitian contribution to the dielectric tensor. This occurs, for example, near electron cyclotron resonance. The direction of the corrected wave energy flux is consistent with that of the trajectory of a wave beam crossing the EC resonance as obtained in Westerhof (Westerhof E 1997 Plasma Phys. Control. Fusion 39 1015). It is shown that ray-tracing near cyclotron resonance can be performed with the use of lambda'(mode) as ray-Hamiltonian.
VL - 42
SN - 0741-3335
U5 - 944fd839855b7dbd09f98fc5c4605caf
ER -
TY - JOUR
T1 - On the energy flux of stationary electromagnetic waves in anisotropic dissipative media with spatial dispersion
JF - Journal of Experimental and Theoretical Physics
Y1 - 2000
A1 - Tokman, M. D.
A1 - Westerhof, E.
A1 - Gavrilova, M. A.
AB - The special features of the propagation of electromagnetic waves in gyrotropic medium with dispersion and resonant dissipation (specifically, in a magnetoactive plasma) are studied. Even though the anti-Hermitian components of the permittivity tensor are substantial in magnitude, weakly damped waves can exist in such media. However, the well-known phenomenological expression for the energy flux of waves in a medium with spatial dispersion is inapplicable for them. A theory extending this expression to the case studied is developed. The modified expression for the energy flux is used to construct the Hamiltonian for the ray optics of such media. (C) 2000 MAIK "Nauka/Interperiodica".
VL - 91
SN - 1063-7761
U5 - 083663a7017d121b083301534b4a329d
ER -