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- W1624547392 abstract "An approximate solution is presented for the integrodifferential equation that governs the radiant intensity and the source function within a semi-infinite absorbing-scattering medium with an index of refraction different from unity. The exponential kernel substitution has been used to develop a closed form analytical expression for the directional emittance as a function of the refractive index and the scattering albedo. The scattering has been considered as isotropic, and the Fresnel relations have been used to evaluate the reflection and the transmission at the interface. The directional and the hemispherical emittances are presented for a refractive index range between 1 and 2 and for scattering albedo between 0 and 1. The results indicate that the directional and hemispherical emittances of a medium with a refractive index larger than unity can be either smaller, because of interface reflection, or larger, because of scattering, than that associated with a medium of a unity index of refraction. A generalized graph is presented from which an approximate value for the directional emittance can be obtained for a wide range of optical conditions. Based on other applications in the field of radiative transfer with similar geometry and on comparison, when possible, with exact solutions, the approximate method which has been used should be accurate in predicting directional and hemispherical emittances to within 10%." @default.
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- W1624547392 date "1973-11-01" @default.
- W1624547392 modified "2023-09-24" @default.
- W1624547392 title "Emittance of Semi-Infinite Absorbing and Isotropically Scattering Medium with Refractive Index Greater than Unity" @default.
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- W1624547392 doi "https://doi.org/10.2514/3.50617" @default.
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