Error evaluation in the series expansion of the generalized Planck's equation for radiation integrals

Gonzalo Paez; Marija Strojnik; Tomaz Kranjc

doi:10.1117/12.455135

8 February 2002 Error evaluation in the series expansion of the generalized Planck's equation for radiation integrals

Gonzalo Paez, Marija Strojnik, Tomaz Kranjc

Proceedings Volume 4486, Infrared Spaceborne Remote Sensing IX; (2002) https://doi.org/10.1117/12.455135
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We develop an analytical estimate for the error that arises when approximating the generalized Planck's equation with a truncated series of N-terms. We present an analytical expression to evaluate the number of terms required to achieve specific accuracy. The results are applied to evaluation of the integral of the generalized Planck's equation over a wavelength interval.

Citation Download Citation

Gonzalo Paez, Marija Strojnik, and Tomaz Kranjc "Error evaluation in the series expansion of the generalized Planck's equation for radiation integrals", Proc. SPIE 4486, Infrared Spaceborne Remote Sensing IX, (8 February 2002); https://doi.org/10.1117/12.455135

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