Monte Carlo Methods for X-ray Dispersive Spectrometers
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We discuss multivariate Monte Carlo methods appropriate for X-ray dispersive spectrometers. Dispersive spectrometers have many advantages for high resolution spectroscopy in the X-ray band. Analysis of data from these instruments is complicated by the fact that the instrument response functions are multi-dimensional and relatively few X-ray photons are detected from astrophysical sources. Monte Carlo methods are the natural solution to these challenges, but techniques for their use are not well developed. We describe a number of methods to produce a highly efficient and flexible multivariate Monte Carlo. These techniques include multi-dimensional response interpolation and multi-dimensional event comparison. We discuss how these methods have been extensively used in the XMM-Newton Reflection Grating Spectrometer in-flight calibration program. We also show several examples of a Monte Carlo applied to observations of clusters of galaxies and elliptical galaxies with the XMM-Newton observatory.
12 pages, 11 figures, Contribution for Astronomical Telescopes and Instrumentation, August 2002, Waikoloa, HI, SPIE Vol. 4847, Printed with the permission of SPIE
12 pages, 11 figures, Contribution for Astronomical Telescopes and Instrumentation, August 2002, Waikoloa, HI, SPIE Vol. 4847, Printed with the permission of SPIE