OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 60, Iss. 4 — Apr. 1, 1970
  • pp: 534–541

Effect of Centrally Located Samples in the Integrating Sphere

HEMMAT H. SAFWAT  »View Author Affiliations


JOSA, Vol. 60, Issue 4, pp. 534-541 (1970)
http://dx.doi.org/10.1364/JOSA.60.000534


View Full Text Article

Acrobat PDF (587 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The radiance distribution on the wall of an integrating sphere having a centrally located sample is analyzed. The radiance of the sphere wall is found as a function of the angular position inside the sphere. The analysis assumes mixed reflectance for the samples. It takes into account the effect of (1) the size of the sample relative to the sphere, (2) the average diffuse reflectance of the sphere wall, (3) the reflectance of the back face of the sample, and (4) the angle of incidence of the reference beam incident on the sample. The analysis considers the effect of the radiant exchange between the sample, its back, and the sphere wall. It allows also for the shadow of the sample on the sphere wall. The radiance distribution inside the sphere is found in case the reference beam does not hit the sample directly upon its entry into the sphere (this is useful in the absolute-reflectance-measurement technique). It is also derived when the sample is in the way of the reference beam. The expressions found for the radiance distribution allow accurate estimation of the errors due to the effect of centrally located samples in integrating sphere in reflectance measurements. The effects of the different factors involved in the interaction between the sample and the sphere wall can be seen from radiance-distribution expressions and would be of use in design of integrating-sphere reflectance-measurement systems. An example of the estimation of errors due to the effect of a centrally located sample inside an integrating sphere, in the measurement of mixed reflectance, is demonstrated.

Citation
HEMMAT H. SAFWAT, "Effect of Centrally Located Samples in the Integrating Sphere," J. Opt. Soc. Am. 60, 534-541 (1970)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-60-4-534


Sort:  Author  |  Journal  |  Reset

References

  1. J. A. Jacquez and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 460 (1955).
  2. E. Karrar, J. Opt. Soc. Am. 11, 96 (1921).
  3. A. C. Hardy and O. W. Pineo, J. Opt. Soc. Am. 21, 502 (1931).
  4. J. F. Parmer, thesis, Oklahoma State University (1965).
  5. B. J. Hisdal, J. Opt. Soc. Am. 55, 1255 (1965).
  6. R. C. Birkebak and S. H. Cho, ASME Paper No. 67-HT-54 (1967).
  7. R. A. Seban, Trans. Am. Soc. Mech. Engrs., J. Heat Transfer 84, 299 (1962).
  8. H. H. Safwat, dissertation, West Virginia University (1968).

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited