Abstract
A simplified model for the spectral refractive index and absorption coefficient of semitransparent solids is developed from solid state lattice vibrational theory. This model accurately predicts the total band absorptance and total internal emittance for long pathlengths and selected solids. Total band absorptance is shown to be proportional to the square root of the pathlength when the pathlength is large. Comparison to exact results for α-quartz and lithium fluoride demonstrates that the total radiative transfer properties are accurately predicted by the model when the pathlength exceeds one millimeter.
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