OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 35, Iss. 31 — Nov. 1, 1996
  • pp: 6120–6125

Temperature dependence of the band emittance for nongray bodies

Örjan Staaf, Carl G. Ribbing, and Stefan K. Andersson  »View Author Affiliations

Applied Optics, Vol. 35, Issue 31, pp. 6120-6125 (1996)

View Full Text Article

Enhanced HTML    Acrobat PDF (370 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The general problem of obtaining correct emittance values from broadband IR radiometric measurements on nongray samples is discussed. If the spectral emittance has structure in a band, the emittance, averaged over that band, will be temperature dependent, even if the spectral emittance is insensitive to the temperature change. We point out that a widely used expression, with correction for radiance from the surroundings reflected by the sample, is valid only if the spectral emittance is temperature and wavelength independent, i.e., gray. If the spectral emittance is nongray, the conventional emission factor, as determined by a broadband radiometer, is temperature dependent and the numerical value is significantly different from the averaged band emittance sought. Two algorithms are suggested to extract the correct band-averaged emittance from the temperature-dependent radiometric emission factor obtained with the conventional expression. The algorithms are demonstrated with a step model for the spectral emittance, and it is shown that the agreement with the correct average band emittance is significantly improved.

© 1996 Optical Society of America

Original Manuscript: November 27, 1995
Revised Manuscript: June 17, 1996
Published: November 1, 1996

Örjan Staaf, Carl G. Ribbing, and Stefan K. Andersson, "Temperature dependence of the band emittance for nongray bodies," Appl. Opt. 35, 6120-6125 (1996)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. P. DeWitt, G. D. Nutter, eds., Theory and Practice of Radiation Thermometry (Wiley, New York, 1988), Part 4, p. 861.
  2. R. McCluney, Introduction to Radiometry and Photometry (Artech House, Boston, 1994).
  3. Ref. 1, Chap. 5, p. 341.
  4. J. F. Snell, “Radiometry and photometry,” in Handbook of Optics, W. Driscoll, S. Vaughan, eds. (McGraw-Hill, New York, 1978), Sec. 1.
  5. C. G. Ribbing, Ö Staaf, S. K. Andersson, “Selective suppression of thermal emission from radomes and materials therefore,” Opt. Eng. 34, 3314–3322 (1995). [CrossRef]
  6. B. E. Emilsson, A. R. Roos, “A method and uipment for measuring infrared emissivity,” in Second International Conference on Low Light and Thermal Imaging, IEE Conf. Publ. (Nottingham, UK, 1979), Vol. 173, pp. 5–6.
  7. C. Öhman, “Practical methods for improving thermal measurements,” in Thermal Infrared Sensing Applied to Energy Conservation in Building Envelopes (Thermosense IV), R. A. Grot, J. T. Wood, eds., Proc. SPIE313, 204–212 (1981).
  8. J. Vlcek, “A field method for determination of emissivity with imaging radiometers,” Photogramm. Eng. Remote Sensing 48, 609–614 (1982).
  9. L. Chen, B. T. Yang, “Design principle for simultaneous emissivity and temperature measurements,” Infrared Technology XI, R. A. Mollicone, I. J. Spiro, eds., Proc. SPIE572, 83–88 (1985).
  10. Y.-W. Zhang, C.-G. Zhang, V. Klemas, “Quantitative measurements of ambient radiation, emissivity, and truth temperature of a greybody: methods and experimental results,” Appl. Opt. 25, 3683–3689 (1986). [CrossRef] [PubMed]
  11. T. Togawa, “Non-contact skin emissivity: measurement from reflectance using step change in ambient radiation temperature,” Clin. Phys. Physiol. Meas. 10, 39–48 (1989). [CrossRef] [PubMed]
  12. H. Svendsen, H. E. Jensen, S. E. Jensen, V. O. Mogensen, “The effect of clear sky radiation on crop surface temperature determined by thermal thermometry,” Agric. For. Meteorol. 50, 239–243 (1990). [CrossRef]
  13. D. E. Schmieder, G. W. Walker, “Camouflage, supression, and screening systems,” in The Infrared and Electro-Optical Systems Handbook, D. H. Pollock, ed. (Infrared Information Analysis Center, Environmental Research Institute of Michigan, Ann Arbor, Mich.; The Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1993), Vol. 7, Sec. 2.3.2.
  14. T. Chibuye, C. G. Ribbing, E. Wäckelgård, “Reststrahlen band studies of polycrystalline beryllium oxide,” Appl. Opt. 33, 5975–5981 (1994). [CrossRef] [PubMed]
  15. Ö Staaf, C.-G. Ribbing, S. K. Andersson, “Broadband emission factors—temperature variation for nongray samples,” in Thermosense XVII: An International Conference on Thermal Sensing and Imaging Diagnostic Applications, D. D. Burleigh, J. Spicer, eds., Proc. SPIE2766, 334–345 (1996).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited