Blackbody radiation functions and polylogarithms

Seán M. Stewart

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

A new method based on the polylogarithm function is used to derive an exact expression for the fractional emissive power of a blackbody in any arbitrary spectral band. Compared to all previously used methods the polylogarithm based method is unsurpassed in its simplicity. Displacement laws for the centroid of blackbody radiation in the linear wavelength and frequency spectral representations that make use of the polylogarithm based approach are also given.

Original languageEnglish
Pages (from-to)232-238
Number of pages7
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume113
Issue number3
DOIs
Publication statusPublished - Feb 2012
Externally publishedYes

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spectral bands
centroids
Radiation
Wavelength
radiation
wavelengths

Keywords

  • Blackbody radiation functions
  • Displacement laws
  • Lambert W function
  • Polylogarithms

ASJC Scopus subject areas

  • Spectroscopy
  • Atomic and Molecular Physics, and Optics
  • Radiation

Cite this

Blackbody radiation functions and polylogarithms. / Stewart, Seán M.

In: Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 113, No. 3, 02.2012, p. 232-238.

Research output: Contribution to journalArticle

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