Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-09-28
Astronomy and Astrophysics
Astrophysics
21 pages, 8 fugures, accepted to Solar Physics
Scientific paper
10.1007/s11207-004-4140-x
Hard X-ray spectra in solar flares provide knowledge of the electron spectrum that results from acceleration and propagation in the solar atmosphere. However, the inference of the electron spectra from solar X-ray spectra is an ill-posed inverse problem. Here we develop and apply an enhanced regularization algorithm for this process making use of physical constraints on the form of the electron spectrum. The algorithm incorporates various features not heretofore employed in the solar flare context: Generalized Singular Value Decomposition (GSVD) to deal with different orders of constraints; rectangular form of the cross-section matrix to extend the solution energy range; regularization with various forms of the smoothing operator; and "preconditioning" of the problem. We show by simulations that this technique yields electron spectra with considerably more information and higher quality than previous algorithms.
Brown John C.
Emslie Gordon A.
Kontar Eduard P.
Massone Anna Maria
Piana Michele
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