Integrable and differentiable approximations to Planck's equation

Gonzalo Paez; Marija Strojnik

doi:10.1117/12.331325

18 November 1998 Integrable and differentiable approximations to Planck's equation

Gonzalo Paez, Marija Strojnik

Proceedings Volume 3437, Infrared Spaceborne Remote Sensing VI; (1998) https://doi.org/10.1117/12.331325
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

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.

Citation Download Citation

Gonzalo Paez and Marija Strojnik "Integrable and differentiable approximations to Planck's equation", Proc. SPIE 3437, Infrared Spaceborne Remote Sensing VI, (18 November 1998); https://doi.org/10.1117/12.331325

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