## Distribution temperature calculations by fitting the Planck radiation curve to a measured spectrum

Applied Optics, Vol. 31, Issue 1, pp. 126-130 (1992)

http://dx.doi.org/10.1364/AO.31.000126

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### Abstract

A method of calculating distribution temperatures by numerically fitting Planck radiation curves to measured spectra is discussed. Numerically generated spectra were used to test the method and to determine the sensitivity to noise and the effects of linear emissivity changes. A comparison with the multiple-pair method of calculating color temperature as described in a previous paper [ Appl. Opt. 27, 4073– 4075 ( 1988)] is presented. It was found that the method described here is ~2 times less sensitive to noise than the previously described method. Nonconstant emissivity (the linear model) produces the same effect on calculated distribution temperatures regardless of the calculating method.

© 1992 Optical Society of America

**History**

Original Manuscript: May 22, 1990

Published: January 1, 1992

**Citation**

Željko Andreić, "Distribution temperature calculations by fitting the Planck radiation curve to a measured spectrum," Appl. Opt. **31**, 126-130 (1992)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-1-126

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### References

- Ž. Andreić, “Numerical evaluation of the multiple-pair method of calculating temperature from a measured continuous spectrum,” Appl. Opt. 27, 4073–4075 (1988). [CrossRef]
- M. Pivovonsky, M. R. Nagel, Tables of Blackbody Radiation Functions (Macmillan, New York, 1961), Chap. 3, p. xiii.
- M. A. Bramson, Infrared Radiation (Plenum, New York, 1968), Chap. 5, p. 164.
- W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in Pascal: The Art of Scientific Computing (Cambridge U. Press, Cambridge, England, 1989), Chap. 10, pp. 326–330.
- J. Kletzek, Exercises in Astronomy (Reidel, Dordrecht, The Netherlands, 1987), pp. 194–196.
- J. Dufay, Introduction to Astrophysics: The Stars (Dover, New York, 1964), pp. 89–90.
- The data for emissivity variations in Ref. 1, Fig. 4, are drawn from a mirror reflected around the vertical axis. Figure 2 in Ref. 1 is correct.

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