Astronomy and Astrophysics – Astronomy
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011spd....42.1823w&link_type=abstract
American Astronomical Society, SPD meeting #42, #18.23; Bulletin of the American Astronomical Society, Vol. 43, 2011
Astronomy and Astrophysics
Astronomy
Scientific paper
The Differential Emission Measure (DEM) describes the temperature distribution of the solar corona, but the inversion of the observations through the instrument's temperature response functions is mathematically ill-posed and typically under-constrained. The most commonly used techniques (e.g., the EM Loci Method, forward-fitting iterators, etc.) each have their drawbacks, but most importantly, they do not guarantee the solution is the globally minimum chi-square solution nor provide a way to quantitatively explore the range of solutions in the neighborhood of the globally minimum solution, which is necessary for properly evaluating levels of confidence. The Convex-Hull Method surmounts the mathematical difficulties of the DEM inversion, providing a more accurate characterization of the solution space with which to evaluate physical models against observations. I demonstrate how this method can be used to constrain the set of temperature distributions observed in the solar corona. This work was supported under contract SP02H1701R from Lockheed-Martin to SAO, and under contract NNM07AB07C from NASA to SAO.
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