18 November 1998 Integrable and differentiable approximations to Planck's equation
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We evaluate the error that arises when approximating the Planck's equation with a truncated series of t terms. We improve the accuracy of the truncated series representation by approximating the resulting error, obtaining integrable and differentiable approximations to the Planck's equation. We obtain the absolute error of less than 0.01 maximum, and relative error of 0.6% with just three terms in the Planck's equation for frequency. Approximately 0.03 absolute error maximum is obtained with only two terms, with 2.4% relative error.
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Gonzalo Paez, Marija Strojnik, "Integrable and differentiable approximations to Planck's equation", Proc. SPIE 3437, Infrared Spaceborne Remote Sensing VI, (18 November 1998); doi: 10.1117/12.331325; https://doi.org/10.1117/12.331325


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