Abstract

Abstract A mathematical model has been constructed to describe the creation and filling of thermoluminescence traps during irradiation. Processes considered include trap filling, recombinations both between free charges and between free and trapped charges and thermal de-trapping. Also a simple trap creation term, linear with dose, has been included. A computer program has been written in order to solve the system of differential equations describing the various charge carrier flows during irradiation. The model and the program are described and the results of the application of the model to some simple energy-level schemes are discussed. Thermal de-trapping and band-to-band recombinations can introduce a dose rate dependence into the accumulation of trapped charge, whilst trap creation leads to the supralinear growth of charge trapped at certain defects with increasing dose.

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