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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


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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.

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

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


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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).
  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).

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