Abstract
The differential equations, recursion formulas, and explicit formulas for the back, self-absorbed, and forward luminescences (b,e,f)(x) of phosphor layers are obtained for the p-layer and continuum models. The explicit formulas contain two natural luminescence constants (invariants) b(infinity) and c; b(infinity) is the back luminescence b(chi) for x ? infinity. The luminescence formulas of Hamaker and of Coltman et al. are a special case of the formulas here. The recursion and explicit formulas for layer-incidence properties, transfer functions, and luminescences are the same in the p-layer and continuum models.
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