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This feature is fully documented on our Detector page.
This has been implemented. For more information, see the phg section of the user's guide for using positron range modelling.
The original version of SimSET assumed that the angle between the direction vectors of the photons produced by a positron-electron annihilation was exactly 180°. In fact, there is a slight deviation from collinearity caused by the momentum of the positron-electron pair relative to the tomograph reference frame.
Model the deviation from non-collinearity as a Gaussian random variable, theta, with mean m, m = 0, and standard deviation s, s = 0.0037059 radians (= 0.5 degrees FWHM, Phelps and Hoffman, JNM 17:8:757-8.) Choose the location of the annihilation and initial photon directions as before. However, before doing any tracking or forcing of the photons, randomly choose one of the photons (i.e., generate a random number, r, and if r < 0.5 then choose the pink photon, else choose the blue photon). Determine theta as specified above, and calculate a deflection angle as follows: mu = cos(theta). Use mu to compute a new direction for the chosen photon. |
This feature is full documented on our Collimator page.
Last revised by: Revision date: 12 January 2000