scholarly journals Generalized curvature modified plasma dispersion functions and Dupree renormalization of toroidal ITG

2019 ◽  
Vol 62 (2) ◽  
pp. 025018
Author(s):  
Ö Gültekin ◽  
Ö D Gürcan
Keyword(s):  
Plasma Dispersion

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.

Sellmeier circuits: A unifying view on optical and plasma dispersion fitting formulas

2020 ◽  
Vol 128 (3) ◽  
pp. 034901
Author(s):  
Arthur Ballato ◽  
John Ballato
Keyword(s):  
Plasma Dispersion
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