An approximate band model for radiative transfer in semitransparent solids

Edward E. Anderson

doi:10.1016/0022-4073(79)90009-8

An approximate band model for radiative transfer in semitransparent solids

Edward E. Anderson

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	183-192
Number of pages	10
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	21
Issue number	3
DOIs	https://doi.org/10.1016/0022-4073(79)90009-8
State	Published - Mar 1979

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title = "An approximate band model for radiative transfer in semitransparent solids",

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.",

author = "Anderson, {Edward E.}",

note = "Funding Information: work was supported by the National Science Foundation under Grant No. ENG76-83021.",

year = "1979",

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N2 - 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.

AB - 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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U2 - 10.1016/0022-4073(79)90009-8

DO - 10.1016/0022-4073(79)90009-8

M3 - Article

AN - SCOPUS:49249140823

SN - 0022-4073

VL - 21

SP - 183

EP - 192

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

IS - 3

ER -

An approximate band model for radiative transfer in semitransparent solids

Abstract

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