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Mathematical proof of an extended Kirchhoff law for a cavity having direction-dependent characteristics

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Abstract

Equations for the effective emissivity and the effective absorptance are given for an isothermal cavity having surfaces with direction-dependent reflections. Equality of the effective emissivity and the effective absorptance of the cavity, which is known as an extended Kirchhoff law for a cavity, is proved by mathematical induction.

© 1988 Optical Society of America

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