OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 10 — Oct. 1, 2004
  • pp: 1895–1906

Diffraction corrections in radiometry: spectral and total power and asymptotic properties

Eric L. Shirley  »View Author Affiliations

JOSA A, Vol. 21, Issue 10, pp. 1895-1906 (2004)

View Full Text Article

Acrobat PDF (335 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Wolf’s result for integrated flux in the case of diffraction by a circular lens or aperture in the scalar, paraxial Fresnel approximation is considered anew. Compact integral formulas for pertinent infinite sums are derived, and the result’s generalizations to extended sources and Planckian sources and asymptotic aspects at small wavelength and high temperature are all considered. Simplification of calculations for an actual absolute radiometer is demonstrated.

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(120.5630) Instrumentation, measurement, and metrology : Radiometry

Eric L. Shirley, "Diffraction corrections in radiometry: spectral and total power and asymptotic properties," J. Opt. Soc. Am. A 21, 1895-1906 (2004)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. E. Lommel, “Die Beugungserscheinungen einer kreisrunden Oeffnung und eines kreisrunden Schirmschens theoretisch und experimentell Bearbeitet,” Abh. Bayer. Akad. 15, 233–328 (1885).
  2. E. Wolf, “Light distribution near focus in an error-free diffraction image,” Proc. R. Soc. London Ser. A 204, 533–548 (1951).
  3. J. Focke, “Total illumination in an aberration-free diffraction image,” Opt. Acta 3, 161–163 (1956).
  4. W. R. Blevin, “Diffraction losses in radiometry and photometry,” Metrologia 6, 39–44 (1970).
  5. W. H. Steel, M. De, and J. A. Bell, “Diffraction corrections in radiometry,” J. Opt. Soc. Am. 62, 1099–1103 (1972).
  6. L. P. Boivin, “Diffraction corrections in radiometry: comparison of two different methods of calculation,” Appl. Opt. 14, 2002–2009 (1975).
  7. E. L. Shirley, “Revised formulas for diffraction effects with point and extended sources,” Appl. Opt. 37, 6581–6590 (1998).
  8. P. Edwards and M. McCall, “Diffraction loss in radiometry,” Appl. Opt. 42, 5024–5032 (2003).
  9. E. L. Shirley, “Diffraction effects on broadband radiation: formulation for computing total irradiance,” Appl. Opt. 43, 2609–2620 (2004).
  10. F. W. J. Olver, Asymptotics and Special Functions (Peters, Wellesley, Mass., 1997), pp. 237–238.
  11. U. J. Knottnerus, Approximation Formulae for Generalized Hypergeometric Functions for Large Values of the Parameters (Wolters, Groningen, The Netherlands, 1960), pp. 34–35.
  12. Ref. 10, p. 293.
  13. N. M. Temme, Special Functions: An Introduction to the Classical Functions of Mathematical Physics (Wiley, New York, 1996), p. 59.
  14. Ref. 13, p. 46.
  15. R. W. Brusa and C. Fröhlich, “Absolute radiometers (PMO6) and their experimental characterization,” Appl. Opt. 25, 4173–4180 (1986).

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