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The simulated line profiles, from MARX, are fit with a Gaussian plus
Lorentzian profile.
where r_{0} is the peak of the Gaussian,
is the Gaussian
width and r is the distance from the peak. For the Lorentzian
component
is the Lorentzian width, r
is the
Lorentzian center not necessarily the same as the Gaussian peak, and
a0 is the relative normalization with respect to the Gaussian.
Figure 6 shows the variation of the Gaussian and relative Lorentzian normalization as a function of wavelength
while figures 7 and 8 shows the same
for the HEG and LEG spectra.
Figure 6:
MEG Gaussian Width and Lorentzian amplitude vs wavelength

Figure 7:
HEG Gaussian Width and Lorentzian amplitude vs wavelength

Figure 8:
LEG Gaussian Width and Lorentzian amplitude vs wavelength

In these fits the Gaussian peak is set to 1.0 and the Lorentzian is fixed at 0.012 Å.
As can be seen in figure 6 the Gaussian width between
about 10 and 40 Årises from a low of 0.007 to a high of about
0.0105 Å. The right panel shows the Lorenzian amplitude (relative
to the Gaussian) as a function of wavelength. At long wavelengths the
Lorentzian is a weak component but at short wavelengths the Lorentzian
component dominates over the Gaussian component. This effect is
expected and is mostly due to mirror scattering (see POG figure 4.6)
and so the scattered component, represented by the Lorentzian, dominates
at short wavelength (high energy).
Next: Line Position
Up: Line Widths
Previous: Line Widths
David Davis
20011228