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Multivariate Monte Carlo Methods for the Reflection Grating Spectrometers onXMM‐Newton
Author(s) -
J. R. Peterson,
J. G. Jernigan,
S. M. Kahn
Publication year - 2004
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/424436
Subject(s) - monte carlo method , interpolation (computer graphics) , multivariate statistics , reflection (computer programming) , spectrometer , physics , statistical physics , computational physics , algorithm , optics , computer science , mathematics , statistics , motion (physics) , classical mechanics , programming language , machine learning
We propose a novel multivariate Monte Carlo method as an efficient andflexible approach to analyzing extended X-ray sources with the ReflectionGrating Spectrometer (RGS) on XMM Newton. A multi-dimensional interpolationmethod is used to efficiently calculate the response function for the RGS inconjunction with an arbitrary spatially-varying spectral model. Several methodsof event comparison that effectively compare the multivariate RGS data arediscussed. The use of a multi-dimensional instrument Monte Carlo also createsmany opportunities for the use of complex astrophysical Monte Carlocalculations in diffuse X-ray spectroscopy. The methods presented here could begeneralized to other X-ray instruments as well.Comment: 36 pages, 14 figures, Accepted for publication in Ap

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