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PROBLEMS OF GEOCOSMOS

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Proceedings of the 7th International Conference "Problems of Geocosmos" (St. Petersburg, Russia, 26-30 May 2008)<br />

Model<br />

We compute waveforms directly in the time domain for the uniform Earth – ionosphere cavity<br />

model. The ‘linear’ propagation constant is used ν ( f ) = ( f − 2) 6 − i f 100 that was found from the<br />

Schumann resonance cross-spectra measured at large longitudinal separation of two observatories<br />

[Nickolaenko and Hayakawa, 2002]. Computations were performed with the algorithm accelerating the<br />

convergence of time series.<br />

Fig.3. Evolution of E – and H – pulses with the source distance. Signal focusing is obvious around the source<br />

antipode.<br />

A flat infinite frequency response of the receiver was assumed. Figure 3 depicts a series of<br />

pulsed waveforms computed for a set of source – observer distances ranging from 2 to 20 Mm. The<br />

field increase is clearly seen at the vicinity of antipodal distance of 20 Mm. We used the ‘white’<br />

source current moment of a lightning discharge with Ids (f) = 10 8 A*m. The above current moment<br />

is related to a stroke with the peak current of 25 kA and the channel length of 4 km. Since we<br />

compare experimental and computational waveforms, the particular source amplitude is<br />

insignificant. The stroke polarization was positive. Visual comparison of pulse amplitudes indicates<br />

that the above current moment underestimates the observed value by a factor of up to five, which is<br />

in agreement with regular Q-bursts observations.<br />

Comparison of experimental (black) and model (color) data<br />

Frames below present individual pulses: black lines depict the results observed and the model data<br />

are shown by the red dotted lines. The time is shown along the abscissa, and the pulse middle sub-peaks were<br />

aligned to facilitate the comparison. The major feature of all data sets was their high reciprocity. Once the<br />

442

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