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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 6, Iss. 1 — Jan. 1, 1967
  • pp: 107–117

Some Approximations to the Planck Function in the Intermediate Region with Applications in Optical Pyrometry

D. E. Erminy  »View Author Affiliations


Applied Optics, Vol. 6, Issue 1, pp. 107-117 (1967)
http://dx.doi.org/10.1364/AO.6.000107


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Abstract

For many applications, a simple approximate equation for blackbody radiation can be more useful than is the Planck blackbody equation. An intermediate region exists where both the Rayleigh–Jeans equation and the Wien equation for blackbody radiation are inaccurate approximations to the Planck equation. Several approximate equations of simple mathematical form have been obtained that are more accurate in this intermediate region. These equations are applied to optical pyrometry to obtain formulas for brightness temperature and color temperature that can be used in the intermediate region.

© 1967 Optical Society of America

History
Original Manuscript: August 23, 1966
Published: January 1, 1967

Citation
D. E. Erminy, "Some Approximations to the Planck Function in the Intermediate Region with Applications in Optical Pyrometry," Appl. Opt. 6, 107-117 (1967)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-6-1-107


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References

  1. H. J. Kostkowski, R. D. Lee, in Temperature, Its Measurement and Control in Science and Industry (Reinhold Publishing Co., New York, 1962), Vol. 3, pp. 449–481.
  2. D. R. Lovejoy, in Temperature, Its Measurement and Control in Science and Industry (Reinhold Publishing Co., New York, 1962), Vol. 3, pp. 487–506.
  3. G. H. Dieke, in Temperature, Its Measurement and Control in Science and Industry (Reinhold Publishing Co., New York, 1955), Vol. 2, pp. 25–26.

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