Abstract

The integral equation for emissivity inside a uniform gray, isothermal, lambertian cavity is often solved by the method of successive approximations. If the resulting series is written explicitly, it is shown that the bound ρN+1 can be obtained on the error remaining after N iterations, where ρ is the reflectivity. It is shown that many values of the apparent emissivity of the cavity can be obtained easily by using the series; this is important if the gray assumption is relaxed.

© 1969 Optical Society of America

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Equations (27)

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