scholarly journals Extraordinary mode absorption at the electron cyclotron harmonic frequencies as a tokamak electron temperature diagnostic

1987 ◽  
Vol 27 (8) ◽  
pp. 1283-1290 ◽  
Author(s):  
A. Pachtman ◽  
S.M. Wolfe ◽  
I.H. Hutchinson
Keyword(s):  
Electron Temperature ◽  
Electron Cyclotron ◽  
Harmonic Frequencies ◽  
Temperature Diagnostic ◽  
Cyclotron Harmonic

Instability near Electron Cyclotron Harmonic Frequencies in Beam-Plasma System

1969 ◽  
Vol 27 (1) ◽  
pp. 187-197 ◽  
Author(s):  
Toshitaka Idehara ◽  
Kunizo Ohkubo ◽  
Shigetoshi Tanaka
Keyword(s):  
Electron Cyclotron ◽  
Plasma System ◽  
Harmonic Frequencies ◽  
Beam Plasma ◽  
Cyclotron Harmonic

Absorption of microwaves by an ionized gas near the electron cyclotron harmonic frequencies

1968 ◽  
Vol 56 (1) ◽  
pp. 173-182 ◽  
Author(s):  
P. Bocchieri ◽  
E. Crosignani ◽  
G. Siragusa
Keyword(s):  
Electron Cyclotron ◽  
Ionized Gas ◽  
Harmonic Frequencies ◽  
Cyclotron Harmonic

Expansions of the mildly relativistic dispersion function for nearly perpendicular electron cyclotron ray tracing

1999 ◽  
Vol 61 (1) ◽  
pp. 121-128 ◽  
Author(s):  
I. P. SHKAROFSKY
Keyword(s):  
Ray Tracing ◽  
Computer Programs ◽  
Higher Order ◽  
Electron Cyclotron ◽  
Dispersion Function ◽  
Relativistic Dispersion ◽  
Plasma Dispersion ◽  
Derivatives Of ◽  
Cyclotron Harmonic ◽  
Experienced Difficulty

To trace rays very close to the nth electron cyclotron harmonic, we need the mildly relativistic plasma dispersion function and its higher-order derivatives. Expressions for these functions have been obtained as an expansion for nearly perpendicular propagation in a region where computer programs have previously experienced difficulty in accuracy, namely when the magnitude of (c/vt)2 (ω−nωc)/ω is between 1 and 10. In this region, the large-argument expansions are not yet valid, but partial cancellations of terms occur. The expansion is expressed as a sum over derivatives of the ordinary dispersion function Z. New expressions are derived to relate higher-order derivatives of Z to Z itself in this region of concern in terms of a finite series.

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