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10
0
6
5
4
10
−1
1
2
3
exp(−0.5
x
2
/
l
2
)
10
−2
0
500
1000
1500
2000
x km
Fig. 8.3.
Plots of the relative amplitude of the ground horizontal magnetic compo-
nent
b
(
g
)
x
(
x
)
/b
(
g
x
(0) as a function of horizontal coordinate. The curves are calculated
for different values of the periods, ground and ionospheric conductivities are given
in the Table 8.2. Numbering of the curves correspond to indexes of the 1st column
of the Table 8.2
Phase incursion at propagation a wave perturbation is not described in
the static approximation, in which the equation is obtained. In this approx-
imation magnetic oscillations are in-phase at all distances if the phase in
the incident beam does not depend on the horizontal coordinate
x.
Note
that the phase changes found above for the resonance beam are connected
with, that the different parts of the initial FLR-beam are out of phase.
This is effect of a source but not propagation of perturbations from the
axis.
For an in-phase beam-bell we shall define phase incursion by (8.11)-(8.14).
Figures 8.4 and 8.5 show phase
ϕ
and phase velocity
V
phase
as functions of
Table 8.2.
Ground and ionospheric conductivities chosen in numerical modeling
b
(
g
x
(0)
σ
g
(s
−
1
)
No.
T
(s)
Ionosphere
10
5
1
60
0
.
67
Day
10
6
2
60
0
.
88
Day
10
7
3
60
1
.
23
Day
10
6
4
100
0
.
92
Day
10
5
5
60
0
.
10
Night
10
6
6
60
0
.
11
Night
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