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Titel |
Spectral analysis for wide energy channels |
VerfasserIn |
E. A. Kronberg, P. W. Daly |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
2193-0856
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Digitales Dokument |
URL |
Erschienen |
In: Geoscientific Instrumentation, Methods and Data Systems ; 2, no. 2 ; Nr. 2, no. 2 (2013-11-18), S.257-261 |
Datensatznummer |
250084924
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Publikation (Nr.) |
copernicus.org/gi-2-257-2013.pdf |
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Zusammenfassung |
For energetic particle measurements whose spectra follow a power law, it is
often challenging to define a characteristic ("effective") energy of an
energy channel. In order to avoid time-consuming calculations, the geometric
mean is often used as an approximation for the effective energy. This
approximation is considered to be pretty good. It is, however, potentially
inadequate in cases with wide energy channels and soft spectral slopes. In
order to determine the limits of the goodness of the approximation, we derive
formulas to calculate the deviation of the effective energy, phase space
density and energy density based on the geometric-mean approximation from
those based on the power law. The results show that the geometric-mean
approximation is usually adequate and that corrections are needed only in
extraordinary cases. |
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