Journal Article10.1364/AO.7.001359
Emissivity of Isothermal Spherical Cavity with Gray Lambertian Walls
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TL;DR: It appears that, even under ideal conditions, the spherical configuration is the only one that will have uniform isotropic emissivity over a wide angle, approaching a full hemisphere, across the entire aperture.
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Abstract: An exact expression for the emissivity of an ideally diffuse, gray, isothermal, spherical cavity is derived directly, making no geometrical approximations, and is shown to agree with the results of DeVos, Gouffe, and Sparrow and Jonsson, as compared by Fecteau It appears that, even under ideal conditions, the spherical configuration is the only one that will have uniform isotropic emissivity over a wide angle, approaching a full hemisphere, across the entire aperture
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Radiometric properties of isothermal, diffuse wall cavity sources.
TL;DR: A new method, faster and more accurate than traditional quadrature methods, for the numerical solution of integral-equations is described in an appendix, and is applied to the practical problems of cavity design and analysis.
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Cavity radiators: an ecumenical theory.
TL;DR: A compact solution is derived from the Liou-ville-Neumann series solution to the Fredholm integral equation of the second kind that stimulates interesting comparisons among the multiple reflection analyses of Gouffé, De Vos, Treuenfels, Kelly, and Bartell and Wolfe and the integral equation theories.
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Numerical calculation of multiple reflections in diffuse cavities
TL;DR: The equivalence of the effective emissivity and effective absorptivity of an isothermal diffuse cavity is proved by mathematical induction as mentioned in this paper, which shows that the minimum emissivities on the base of a long cylinder does not necessarily occur at the center.
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References
Directional Reflectance and Emissivity of an Opaque Surface
TL;DR: In this article, the authors present concepts, terminology, and symbols for specifying and relating directional variations in reflectance and emissivity of an opaque surface element. But their relationship to more familiar concepts, including those of perfectly diffuse and specular reflectance, is not discussed.
825
Evaluation of the quality of a blackbody
TL;DR: In this paper, a new method is described for evaluating the quality of a blackbody radiator, where the actual reflection of the inner surface can be taken into account, and the calculation has been worked out for some different types of blackbodies especially the types which are used for the determination of the emissivity of metals.
164
Absorption and emission characteristics of diffuse spherical enclosures
E. M. Sparrow,V. K. Jonsson +1 more
TL;DR: In this paper, the absorption and emission characteristics of spherical cavities are investigated for both space-vehicle and terrestrial applications, and the authors propose to use spherical reflectors and emitters as sources of black-body energy.
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The emissivity of the diffuse spherical cavity.
TL;DR: It is shown here that, for the special case of the (isothermal) diffuse spherical cavity, the closed form emissivity expressions obtainable from the work of Gouffé, DeVos, and Sparrow and Jonsson agree exactly.
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