Cascade summing correction for radiation detectors

摘要

In a preferred embodiment, a method of determining coincidence correction for a radiation detector in the presence of a radiation source symmetrical or nonsymmetrical around the axis of the radiation detector, including: calculating the coincidence correction per the equation$\mathop{\mathrm{image}} \[ {\mathit{\text{COI}}}_{\mathit{\text{g}}}\text{=}\frac{{\text{ε}}_{\mathit{\text{g}}}}{\text{∫∫∫}\frac{{\text{ε}}_{\mathit{\text{(g)x,y,z}}}}{{\mathit{\text{COI}}}_{\mathit{\text{(g)x,y,z}}}}\mathit{\text{dxdydz}}} \]$ where ε_g is full peak efficiency for the radiation source, where ε_(g)x,y,z are values of full peak efficiency inside the radiation source obtained from efficiency mapping in the space around said detector, and where the values COI_(g)x,y,z for points under integration inside the radiation source are a function of full peak efficiency, decay chain data, and peak-to-total ratio.