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Next: 4.2 Mirror plus PSPC Up: 4.1 Spatial Resolution Previous: Focus and Penetration Effects

Gaussian Intrinsic Resolution and Mirror Blur Term

      

Due to the inherent statistics of the primary electron generation, the intrinsic spatial resolution of the ROSAT PSPC is expected to be a Gaussian.   Theoretically its width is tex2html_wrap_inline17155 and independent of tex2html_wrap_inline17157 . All photons not in the other two components are assumed to be in this component. Thus the fraction of photons within this component as a function of energy is given by:

  equation3618

Note that this becomes zero above 2 keV from equation 10.

equation3624

The derived analytical form for the width of the detector gaussian, tex2html_wrap_inline17159 , as a function of energy is given by:

equation3635

The analytical form for the Gaussian mirror blur is

equation3642

These two Gaussian widths are combined as follows:

equation3648

The normalization, tex2html_wrap_inline17161 , is given by

  equation3655

where the denominator is the renormalization factor such that the integral tex2html_wrap_inline17163 over the range tex2html_wrap_inline17165 equals tex2html_wrap_inline17167 .

This model has been tested against in-flight data and the model and test results are written up in [Hasinger et al.1993].



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