scholarly journals Global Simulation of Electron Cyclotron harmonic Wave Instability in a Storm-time Magnetosphere

2018 ◽  
Author(s):  
Xu Liu ◽  
Lunjin Chen ◽  
Vania Koleva Jordanova ◽  
Miles A. Engel
2018 ◽  
Vol 123 (11) ◽  
pp. 9035-9044 ◽  
Author(s):  
Xu Liu ◽  
Lunjin Chen ◽  
Wenyao Gu ◽  
Xiao‐Jia Zhang

1987 ◽  
Vol 316 ◽  
pp. 462 ◽  
Author(s):  
H. Karimabadi ◽  
C. R. Menyuk ◽  
P. Sprangle ◽  
L. Vlahos

2013 ◽  
Vol 118 (6) ◽  
pp. 3165-3172 ◽  
Author(s):  
Xiaojia Zhang ◽  
Vassilis Angelopoulos ◽  
Binbin Ni ◽  
Richard M. Thorne ◽  
Richard B. Horne

1999 ◽  
Vol 61 (1) ◽  
pp. 121-128 ◽  
Author(s):  
I. P. SHKAROFSKY

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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