OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.21.001895


View Full Text Article

Enhanced HTML    Acrobat PDF (335 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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.

© 2004 Optical Society of America

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

History
Original Manuscript: March 16, 2004
Revised Manuscript: May 11, 2004
Manuscript Accepted: May 11, 2004
Published: October 1, 2004

Citation
Eric L. Shirley, "Diffraction corrections in radiometry: spectral and total power and asymptotic properties," J. Opt. Soc. Am. A 21, 1895-1906 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-10-1895


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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). [CrossRef]
  3. J. Focke, “Total illumination in an aberration-free diffraction image,” Opt. Acta 3, 161–163 (1956). [CrossRef]
  4. W. R. Blevin, “Diffraction losses in radiometry and photometry,” Metrologia 6, 39–44 (1970). [CrossRef]
  5. W. H. Steel, M. De, J. A. Bell, “Diffraction corrections in radiometry,” J. Opt. Soc. Am. 62, 1099–1103 (1972). [CrossRef]
  6. L. P. Boivin, “Diffraction corrections in radiometry: comparison of two different methods of calculation,” Appl. Opt. 14, 2002–2009 (1975). [CrossRef] [PubMed]
  7. E. L. Shirley, “Revised formulas for diffraction effects with point and extended sources,” Appl. Opt. 37, 6581–6590 (1998). [CrossRef]
  8. P. Edwards, M. McCall, “Diffraction loss in radiometry,” Appl. Opt. 42, 5024–5032 (2003). [CrossRef] [PubMed]
  9. E. L. Shirley, “Diffraction effects on broadband radiation: formulation for computing total irradiance,” Appl. Opt. 43, 2609–2620 (2004). [CrossRef] [PubMed]
  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, C. Fröhlich, “Absolute radiometers (PMO6) and their experimental characterization,” Appl. Opt. 25, 4173–4180 (1986). [CrossRef]

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.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited