ABSTRACT
A. N. Dharamsi and R. P. Joshi, J. Phys. D. 24, 982, 1991.
A set of kinetic differential equations relevant to the bleaching and excitation of
thermoluminescence for the case of a single trapping state for electrons and a
single variety of hole-recombination centre has recently been described and
solved numerically. An approximate analytical solution to these equations is
presented and the analytical results compared with numerical solutions; good
agreement between the analytical and numerical results is obtained. A simple
analytical expression is given for the final equilibrium density of electrons
at e-traps and the occupation number density of holes at r-centers, in terms of
the initial densities of these carriers, and the recombination and trapping
probabilities. These equilibrium values are found to be the same for both types
of carriers. The analysis also allows one, by a simple extension, to account
for the wavelength dependence of the incident radiation. Other results, that
cannot be easily formulated with a purely numerical approach, are also obtained. For instance, conditions under
which an increase (excitation) and decrease (bleaching) of electron density
occur are given.
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