Abstract

A new method is presented for obtaining the spatial distribution of the emission coefficient from the spectral intensity emitted by a circularly symmetric light source. In this method the emission coefficient is expanded in terms of a complete set of functions which are, “invariant in form” to a rotation of axes and the integral equation relating the emission coefficient to the emitted spectral intensity is used to determine the unknown expansion coefficients. The resultant series representations for the emitted spectral intensity and emission coefficient are shown to give results consistent with those of the integral equation by means of a hypothetical example. Four examples, one analytical and three experimental, are treated numerically to test the practical value of this method. The numerical results for the corresponding emitted spectral intensity and emission coefficient are in excellent agreement with the theoretical and experimental values as well as with the values calculated by the Nestor–Olsen method.

© 1965 Optical Society of America

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