Mathematics – Complex Variables
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jatp...38..135t&link_type=abstract
Journal of Atmospheric and Terrestrial Physics, vol. 38, Feb. 1976, p. 135-142.
Mathematics
Complex Variables
3
Cavity Resonators, Fine Structure, Line Spectra, Power Spectra, Resonant Frequencies, Schumann-Runge Bands, Autocorrelation, Complex Variables, Fast Fourier Transformations, Homomorphisms, Laplace Transformation, Q Values, Transfer Functions
Scientific paper
It is known that line splitting of the resonant frequencies of Schumann resonances is expected theoretically. However the splitting is masked for low Q values in the ordinary power spectrum except in anomalous events. This paper demonstrates the methods detecting the line splitting from ordinary observed data, and gives preliminary results obtained. The obtained frequency separations between neighbouring peaks are similar to those of anomalous events reported by some workers. The obtained true Q-values are about 8 at the first mode. The obtained amplitudes of sub-peaks are rather larger than the theoretically expected values. The importance of these results is that the splitting can be obtained from all observed data. It seems to provide a new field of experimental investigation of the line splitting of Schumann resonances.
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