Js. Huber et al., CALIBRATION OF A PET DETECTOR MODULE THAT MEASURES DEPTH OF INTERACTION, IEEE transactions on nuclear science, 45(3), 1998, pp. 1268-1272
We investigate two in situ calibration techniques (using gamma rays in
cident from the patient side) for PET detector modules that measure in
teraction depth via an analog ratio. For each crystal element in the c
amera, we need to determine two unknowns: the gain ratio K of the two
detector (PMT and PD) signals and the depth dependence alpha of the si
gnals (defined as the ratio of the signal observed when the crystal is
excited at the end closest to and furthest from the detector). The li
ght collection is assumed to be linearly dependent on distance from th
e detector end, in agreement with experimental results. The first meth
od extracts K and alpha using (a) the ratio of the PMT and PD signals
for interactions that occur in the detector end closest to the patient
(the most probable depth) and (b) the shape of the PMT pulse height d
istribution which reflects the exponential attenuation length in the d
etector. The second method utilizes the fact that E=PD+PMT (the total
energy estimator) is independent of Gamma=PD/(PD+PMT) (the depth estim
ator) when K is correct, with a distribution position that is alpha de
pendent. On simulated data, both the gain ratio and depth dependence a
re determined with errors of 3% rms and 2% rms respectively, resulting
in minimal degradation of energy and depth resolution.