Below are informations of glow-curve deconvolution program. The program can be found at Home Page.
The glow-curve deconvolution is based on the first-order kinetic with an approximation of the second order. In that condition, a single glow-peak intensity is given by the equation
\[ I(T) = I_m \mathrm{exp}\left[ 1 + \frac{E}{kT} \frac{T-T_m}{T_m} - \frac{T^2}{T_m^2} \mathrm{exp}\left( \frac{E}{kT} \frac{T-T_m}{T_m} \right) (1-\Delta) - \Delta_m \right] \]
where \( \Delta = \frac{2kT}{E}, \, \Delta_m = \frac{2kT_m}{E} \), \(I\) is the glow-peak intensity, \(E \) is the activation energy, \(T \) is the heating temperature, \( I_m \) is the maximum intensity, and \( T_m \) is the temerature at which \( I_m \) occurs. The current developed algorithm can deconvolute 4 glow-peaks from the TLD glow-curve. In addition, a background term\[ bkg(T) = a + b\,\mathrm{exp}(T/c) \]
was also added to the deconvolution. The non-linear least-square minimization using Trust Region Reflective method was chosen to perform fitting process in this program.From deconvolution result, patient dose \( Dose_{Pat} \) is calculated as
\[ Dose_{Pat} = \left( \frac{PeakArea_{Pat}}{PeakArea_{Cal}} \right) Dose_{Cal} \]
where \( PeakArea \) is the area of peaks 3 and 4 from the deconvolution, and \( Dose_{Cal} \) is the known dose exposed to TLD in the calibration step.