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and
D
M
2
Eh
sin
2
'
LJ
LJ
g
r
;!
LJ
LJ
X
N
2
yy
.!/
D
2
D1
C
g
c
r
;!
sin 2'
i
;
C
cos
2
'
LJ
LJ
g
'
r
;!
LJ
LJ
2
(4.91)
where g
;
and g
;
are Fourier transforms of the functions G
;
and G
;
,
respectively, and
n
g
'
r
;!
g
r
;!
C
g
r
;!
g
'
r
;!
o
:
1
2
g
c
D
(4.92)
Here the symbol asterisk denotes complex-conjugate.
References
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Standards, Applied Mathematics Series, vol. 55. Government Printing Office, Washington, DC
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flashes on a millisecondscale. Geophys Res Lett 32:L23802. doi:10.1029/2005GL023889
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188:638-641
Balser M, Wagner CA (1962) Diurnal power variations of the Earth - ionosphere cavity modes and
their relationships to worldwide thunderstorm activity. J Geophys Res 67(2):619-625
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the resonance spectrum structure of the atmospheric electromagnetic noise background in the
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Radiofizika) 32:663-672
Bliokh PV, Nickolaenko AP, Filippov YuF (1980) In: Jones DLl (ed) Schumann resonances in the
Earth - Ionosphere cavity. Peter Peregrinus, Oxford
Brook M, Nakano M, Krehbiel P, Takeuti T (1982) The electrical structure of the Hokuriku winter
thunderstorm. J Geophys Res 87:1207-1215
Budden KG (1962) The waveguide mode theory of wave propagation. Prentice-Hall, Englewood
Cliffs
Clayton M, Polk C (1974) Diurnal variations and absolute intensity of world-wide lightning
activity, September 1970 to May 1971. In: Proceedings of the conference electrical processes in
atmosphere, Garmisch-Partenkirchen
Füllekrug M (2004) The contribution of intense lightning discharges to the global atmospheric
electric circuit during April 1998. J Atmos Solar-Terr Phys 66:1115-1119
Füllekrug M, Price C, Yair Y, Williams ER (2002) Oceanic lightning. Ann Geophys 20:133-137
Galejs J (1961) Terrestrial extremely low frequency noise spectrum in the presence of exponential
ionospheric conductivity profiles. J Geophys Res 66:2789-2793
Galejs J (1965) Schumann resonances. J Res NBS Radio Sci 69D(8):1043-1055
Galejs J (1972) Terrestrial propagation of long electromagnetic waves. Pergamon Press, New York
Hayakawa M, Ohta K, Baba K (1994) Wave characteristic of tweek atmospherics deduced from the
direction finding measurement and theoretical interpretations. J Geophys Res 99:10733-10743
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