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Applied Optics

Applied Optics


  • Vol. 43, Iss. 13 — May. 1, 2004
  • pp: 2609–2620

Diffraction effects on broadband radiation: formulation for computing total irradiance

Eric L. Shirley  »View Author Affiliations

Applied Optics, Vol. 43, Issue 13, pp. 2609-2620 (2004)

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I present a formulation for treating diffraction effects on total irradiance in the case of a Planck source; earlier work generally depended on calculating diffraction effects on spectral irradiance followed by summation over spectral components. The formulation is derived and demonstrated for Fraunhofer diffraction by circular apertures, rectangular apertures and slits, and Fresnel diffraction by circular apertures. The prospects for treating other sources and optical systems are also discussed.

© 2004 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(120.5630) Instrumentation, measurement, and metrology : Radiometry

Original Manuscript: April 16, 2003
Revised Manuscript: February 11, 2004
Published: May 1, 2004

Eric L. Shirley, "Diffraction effects on broadband radiation: formulation for computing total irradiance," Appl. Opt. 43, 2609-2620 (2004)

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  1. See, for example, J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), pp. 427ff.
  2. All of these examples are discussed in M. Born, E. Wolf, Principles of Optics, 7th (expanded) ed. (Cambridge U. Press, Cambridge, UK, 1999), Chap. 8.
  3. See, for example, J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), pp. 66–67.
  4. See, for example, W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, New York, 1974), p. 96.
  5. K. Miyamoto, E. Wolf, “Generalization of the Maggi-Rubinowicz theory of the boundary diffraction wave—part I,” J. Opt. Soc. Am. 52, 612–625 (1962).
  6. K. Miyamoto, E. Wolf, “Generalization of the Maggi-Rubinowicz theory of the boundary diffraction wave—part II,” J. Opt. Soc. Am. 52, 626–637 (1962). [CrossRef]
  7. K. Knopp, Theory and Application of Infinite Series, 2nd English ed. (Blackie and Son, London, 1946), p. 419.

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