Mathematical modeling of afterglow decay curves

It is popular to use multiple single exponential equations to simulate an afterglow decay curve from experimental tests. This chapter shows methods to check generated models, including an examination of the definition for associated parameters used in equations, quotes of physical properties for experimental data, and views profiles of individual components. To solve multiple exponential equations, we transform non-linear equations into linear forms and propose a scheme to search for an appropriate solution. Examples cited from various resources are provided to demonstrate the validity of the five guide lines proposed in this chapter. Several unsolved problems in simulation are also indicated and discussed.