Electron cyclotron harmonic resonances in high-frequency heating of the ionosphere

2013 ◽  
Vol 20 (9) ◽  
pp. 092124 ◽  
Author(s):  
Spencer P. Kuo
1967 ◽  
Vol 1 (3) ◽  
pp. 289-304 ◽  
Author(s):  
D. E. Baldwin

Equations are derived which may be used to describe the propagation of electromagnetic waves in non-uniform magnetized plasma when the wave frequency is near the second electron cyclotron harmonic. The method used is to expand the linearized Vlasov equation in powers of the electron Larmor radius divided by a typical scale length. The general equations are then specialized to the problem of the coupling of transverse waves to the longitudinal modes (Bernstein modes) which exist when all quantities vary only in a plane perpendicular to a straight magnetic field. The form of these equations for two simple models of the equilibrium plasma is given. Comments are made about the equations for the higher harmonics, and the question of boundary conditions is discussed. Finally, the general equations are examined in the limit Ω→0 in order to provide equations suitable for the description of high frequency waves in non-magnetized plasmas.


1991 ◽  
Vol 3 (7) ◽  
pp. 1766-1772 ◽  
Author(s):  
Toshitaka Idehara ◽  
Toshiaki Tatsukawa ◽  
Hidehiko Tanabe ◽  
Satoru Matsumoto ◽  
Kohji Kunieda ◽  
...  

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.


2003 ◽  
Vol 21 (7) ◽  
pp. 1151-1172 ◽  
Author(s):  
Michaël Bucki ◽  
Patrick Perré

2010 ◽  
Vol 115 (A12) ◽  
pp. n/a-n/a ◽  
Author(s):  
X. Tao ◽  
R. M. Thorne ◽  
R. B. Horne ◽  
S. Grimald ◽  
C. S. Arridge ◽  
...  

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