Approximations to Planckian Distributions

Publisher Website
Google Scholar
Abstract
The use of Planck's equation in theoretical photometry and colorimetry has been hampered by the difficulty of integration. The following investigation attempts to eliminate this obstacle by replacing Planck's equation in the visible region by simpler expressions that are easily integrated. Two such approximations are employed—a three‐term polynomial and the Wien function. Both allow analytic integrations to be performed with considerable ease and satisfactory accuracy. The method applies even in the weighted integrations of colorimetry: the standard weighting functions representing characteristics of the human eye are introduced in their analytic form and make possible the use of analytic methods in place of the unwieldy numerical approximations employed previously.

This publication has 9 references indexed in Scilit: