A simple numerical method for gamma-ray self-attenuation correction forsamples of common geometries

摘要

A simple numerical approach has been used to calculate attenuation correction factors forhomogeneous samples of cylindrical, box-shaped and spherical geometries. The method involves thegeneration of random points within the sample and on the detector surface. The attenuation correctionfactors are then calculated from the distance traveled by the gamma ray to reach the detector and itspath length in the sample. The results have been compared with analytical expressions available inliterature and also with the attenuation correction (katt) values calculated using Monte-Carlo N-ParticleTransport Code (MCNP). The advantage of the approach is that it is common to all the geometries and isindependent of any approximations regarding sample–detector geometry. This method is found to beapplicable at all sample-to-detector distance, so that additional care to select a proper formula valid forparticular sample–detector distance is eliminated.