Analytical Derivation of the Stefan–Boltzmann Law for Integral Radiance from Planck’s Law for Spectral Radiance


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Abstract

The Stefan–Boltzmann law for the integral radiation flux was analytically and mathematically exactly derived based on Planck’s law for the spectral radiation flux of an object.

About the authors

V. K. Bityukov

Moscow Technological University (MIREA)

Author for correspondence.
Email: bitukov@mirea.ru
Russian Federation, ul. Vernadskogo 78, Moscow, 119454

Yu. I. Khudak

Moscow Technological University (MIREA)

Email: bitukov@mirea.ru
Russian Federation, ul. Vernadskogo 78, Moscow, 119454

N. G. Gusein-zade

Prokhorov General Physics Institute; Pirogov Russian National Research Medical University (RNRMU)

Email: bitukov@mirea.ru
Russian Federation, ul. Vavilova 38, Moscow, 119991; ul. Ostrovityanova 1, Moscow, 117997

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