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Generalized Regularization Techniques With Constraints For The Analysis Of Solar Bremsstrahlung X-Ray Spectra View all abstracts by submitter

Eduard Kontar   Submitted: 2004-09-08 12:02

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.

Authors: E.P. Kontar, M. Piana, A.M. Massone, A.G. Emslie, and J.C. Brown
Projects: RHESSI

Publication Status: Solar Physics (submitted)
Last Modified: 2004-09-08 12:02
Go to main E-Print page  Determination Of Electron Flux Spectra In A Solar Flare With An Augmented Regularization Method: Application To RHESSI Data  Extreme-Ultraviolet and X-Ray Spectroscopy of a Solar Flare Loop Observed at High Time Resolution:  a Case Study in Chromospheric Evaporation  Edit Entry  Download Preprint  Submitter's Homepage Delete Entry 

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