IDSphere is intended for interactive calculation of effective emissivities of an isothermal diffuse spherical cavity. Although calculation of effective emissivity is, in general, non-trivial problem, an isothermal diffuse (Lambertian) spherical cavity is an exception. Effective emissivity of an isothermal diffuse sphere can be expressed by analytical expression and depends only upon two parameters: emissivity   of cavity's internal surface and aperture angle   .
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Scientific software development and consulting services for radiation thermometry, radiometry, and photometry
IDSphere
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References
E. M. Sparrow and R. D. Cess, “Radiation Heat Transfer,” Hemisphere Publishing Corp., Washington - Philadelphia - London (1978), pp. 174-180
M. L. Fecteau, “The Emissivity of the Diffuse Spherical Cavity,” Appl. Opt. 7, 1363-1364 (1968)
F. E. Nicodemus, “Emissivity of Isothermal Spherical Cavity with Gray Lambertian Walls,” Appl. Opt. 7, 1359-1362 (1968)
E. M. Sparrow and V. K. Jonsson, "Absorption and Emission Characteristics of Diffuse Spherical Enclosures," J. Heat Transfer 84,188-189 (1962)
Emissivity    can be considered either as spectral, total, or bandlimited. According to Kirchhoff’s Law, effective emissivity of an isothermal cavity is equal to its effective absorptivity, if appropriate conditions of observation and irradiation are identical.

IDSphere is freeware. IDSphere does not require installation. Simply unzip archive downloaded and run idsphere.exe. Archive also contains A Brief Description of IDSphere.
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