Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002a%26a...381..311d&link_type=abstract
Astronomy and Astrophysics, v.381, p.311-323 (2002)
Astronomy and Astrophysics
Astrophysics
30
Mhd, Sun, Corona, Activity
Scientific paper
This paper expands on the suggestion of De Moortel & Hood (\cite{DeMoortel00}) that it will be possible to infer coronal plasma properties by making a detailed study of the wavelet transform of observed oscillations. TRACE observations, taken on 14 July 1998, of a flare-excited, decaying coronal loop oscillation are used to illustrate the possible applications of wavelet analysis. It is found that a decay exponent n ~ 2 gives the best fit to the double logarithm of the wavelet power, thus suggesting an e-varepsilon t^2 damping profile for the observed oscillation. Additional examples of transversal loop oscillations, observed by TRACE on 25 October 1999 and 21 March 2001, are analysed and a damping profile of the form e-varepsilon t^n, with n ~ 0.5 and n ~ 3 respectively, is suggested. It is demonstrated that an e-varepsilon t^n damping profile of a decaying oscillation survives the wavelet transform, and that the value of both the decay coefficient varepsilon and the exponent n can be extracted by taking a double logarithm of the normalised wavelet power at a given scale. By calculating the wavelet power analytically, it is shown that a sufficient number of oscillations have to be present in the analysed time series to be able to extract the period of the time series and to determine correct values for both the damping coefficient and the decay exponent from the wavelet transform.
de Moortel Ineke
Hood Alan William
Ireland Jack
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