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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.

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Authors and Affiliations

  1. Moscow Technological University (MIREA), ul. Vernadskogo 78, Moscow, 119454, Russia

    V. K. Bityukov & Yu. I. Khudak

  2. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    N. G. Gusein-zade

  3. Pirogov Russian National Research Medical University (RNRMU), ul. Ostrovityanova 1, Moscow, 117997, Russia

    N. G. Gusein-zade

Authors
  1. V. K. Bityukov
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  2. Yu. I. Khudak
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  3. N. G. Gusein-zade
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Corresponding author

Correspondence to V. K. Bityukov.

Additional information

Original Russian Text © V.K. Bityukov, Yu.I. Khudak, N.G. Gusein-zade, 2018, published in Kratkie Soobshcheniya po Fizike, 2018, Vol. 45, No. 2, pp. 22–28.

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Bityukov, V.K., Khudak, Y.I. & Gusein-zade, N.G. Analytical Derivation of the Stefan–Boltzmann Law for Integral Radiance from Planck’s Law for Spectral Radiance. Bull. Lebedev Phys. Inst. 45, 46–50 (2018). https://doi.org/10.3103/S1068335618020033

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  • DOI: https://doi.org/10.3103/S1068335618020033

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