Deprojection technique for galaxy cluster considering the point spread function

We present a new method for the analysis of Abell 1835 observed by XMM-Newton. The method is a combination of the Direct Demodulation technique and deprojection. We eliminate the effects of the point spread function (PSF) with the Direct Demodulation technique. We then use a traditional deprojection technique to study the properties of Abell 1835. Compared to only using a deprojection method, the central electron density derived from this method increases by 30%, while the temperature profile is similar.