Study of the Response Fidelity Loss Resulting from Reducing
the Number of Slices
Ann Parsons 2/4/04
1000 - bin Depth Distribution for 198 keV reduced to 25 bins:

Depth (cm)
Using the Hecht relation, I calculated the ratio eta = E_prime/Ein as
well as its first derivative:


I actually used 250 bins for the following
calculation of the output spectrum from a 198 keV photon:
While there were only 25 different depth distribution values, I
subdivided each of the 25 depth bins into 10 "sub-slices" and
calculated eta separately for each sub-slice.
Using the multi-mutau model with Goro's 36 pairs of
mutau_e and mutau_h (but without noise for the moment), I calculated
the output spectrum as a weighted sum of the 36 spectra. Below
is a plot of the 90-channel (20-200 keV) output spectrum
generated using 1000 depth slices (thin line) on top of the same
spectrum generated using 25 depth slices and 250 calculations of eta =
E_prime/Ein (thick line):

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