The main drawback of the double exposure holographic interferometry (DEHI) systems is that their initial setting up is a difficult and time-consuming task. This hinders their use in radiation dosimetry that requires observing necessary precautions to protect the users from radiation. In this paper, a detailed theoretical model capable of predicting the DEHI system response before its use for radiation dosimetry is developed which can partly overcome this limitation. In this model, radiation dosimetry by the DEHI systems is described in steady-state and transient modes. Physical background of hologram recordation and heat transfer within the absorbing material are fully described and it is shown how the whole process can be numerically modelled. Specifically, radiation dosimetry with two different homogeneous and inhomogeneous geometries is modelled in this work. For 3 MeV electrons in an inhomogeneous geometry, it is shown that the model results are in good agreement with the previous experimental results. It is also described how the model can be used to calculate the heat transfer correction factors in dosimetry by the DEHI systems.

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