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DEM Analyses with the Utrecht Codes

Published online by Cambridge University Press:  12 April 2016

R. Mewe
Affiliation:
SRON Laboratory for Space Research, Sorbonnelaan 2, 3584 CA Utrecht, The Netherlands
G.H.J. van den Oord
Affiliation:
Sterrekundig Instituut Utrecht, P.O. Box 80 000, 3508 TA Utrecht, The Netherlands
C.J. Schrijver
Affiliation:
Stanford/Lockheed Inst. for Astrophys. and Space research, LPARL, Dept. 91-30, Bldg. 252, 3251 Hanover Street, Palo Alto, CA 94304-1191, USA
J.S. Kaastra
Affiliation:
SRON Laboratory for Space Research, Sorbonnelaan 2, 3584 CA Utrecht, The Netherlands

Abstract

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We address the inversion problem of deriving the differential emission measure (DEM) distribution D(T) = nenHdV/d log T from the spectrum of an optically thin plasma. In the past we have applied the iterative Withbroe-Sylwester technique and the Polynomial technique to the analysis of EXOSAT spectra of cool stars, but recently we have applied the inversion technique discussed by Craig & Brown (1986) and Press et al. (1992) in the analysis of EUVE spectra of cool stars. The inversion problem-a Fredholm equation of the first kind-is ill-posed and solutions tend to show large, unphysical oscillations. We therefore apply a second-order regularization, i.e., we select the specific DEM for which the second derivative is as smooth as is statistically allowed by the data. We demonstrate the importance of fitting lines and continuum simultaneously, discuss the effect on the DEM of continuum emission at temperatures where no line diagnostics are available, and address possible ways to check various model assumptions such as abundances and photon destruction induced by resonant scattering.

Type
XIII. Plasma Diagnostics
Copyright
Copyright © Kluwer 1996

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