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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 4 — Apr. 1, 2001
  • pp: 910–918

Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions

M. A. Alonso  »View Author Affiliations

JOSA A, Vol. 18, Issue 4, pp. 910-918 (2001)

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The wave-based generalized radiance definitions presented in a previous manuscript [J. Opt. Soc. A 18, 902 (2001)] for two-dimensional coherent monochromatic fields in free space are extended here to the three-dimensional case. These new definitions preserve all the properties of their two-dimensional analogs. Notably, they are exactly conserved along rays and well suited for the description of fields traveling in all directions. The different members of this set of functions are seen to correspond to weighted radial projections in momentum of the Wigner function of the field.

© 2001 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(030.5630) Coherence and statistical optics : Radiometry

Original Manuscript: July 6, 2000
Revised Manuscript: September 25, 2000
Manuscript Accepted: October 18, 2000
Published: April 1, 2001

M. A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A 18, 910-918 (2001)

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  1. M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, 7th (expanded) ed. (Cambridge U. Press, Cambridge, UK, 1999), pp. 193–199.
  2. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics, 1st ed. (Cambridge U. Press, New York, 1995), pp. 287–307.
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  5. For a general overview see, for example, the following two review papers: E. Wolf, “Coherence and radiometry,” J. Opt. Soc. Am. 68, 6–17 (1978); A. T. Friberg, “Effects of coherence in radiometry,” Opt. Eng. 21, 927–936 (1978). A collection of the most significant studies on this subject is given in A. T. Friberg (volume editor), Selected Papers on Coherence and Radiometry, Vol. MS69 of SPIE Milestone Series (SPIE Optical Engineering Press, Bellingham, Wash., 1993). [CrossRef]
  6. See also Ref. 2, pp. 292–297.
  7. M. A. Alonso, “Radiometry and wide-angle wave fields. I. Coherent fields in two dimensions,” J. Opt. Soc. Am. A 18, 902–909 (2000). [CrossRef]
  8. K. B. Wolf, M. A. Alonso, G. W. Forbes, “Wigner functions for Helmholtz wave fields,” J. Opt. Soc. Am. A 16, 2476–2487 (1999). [CrossRef]
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  10. N. L. Balasz, B. K. Jennings, “Wigner’s function and other distribution functions in mock phase spaces,” Phys. Rep. 104, 347–391 (1984). [CrossRef]
  11. H. M. Pedersen, O. J. Løkberg, “Coherence and radiative energy transfer for linear surface gravity waves in water of constant depth,” J. Phys. A. Math. Gen. 25, 5263–5278 (1992). See Eq. (5.17). [CrossRef]
  12. G. I. Ovchinnikov, V. I. Tatarskii, “On the problem of the relationship between coherence theory and the radiation-transfer equation,” Radiophys. Quantum Electron. 15, 1087–1089 (1972). See Eq. (2). [CrossRef]
  13. H. M. Pedersen, “Exact geometrical description of free space radiative energy transfer for scalar wavefields,” in Coherence and Quantum Optics VI, J. H. Eberly, L. Mandel, E. Wolf, eds. (Plenum, New York, 1990), pp. 883–887. See Eq. (12).
  14. H. M. Pedersen, “Exact theory of free-space radiative energy transfer,” J. Opt. Soc. Am. A 8, 176–185 (1991); errata J. Opt. Soc. Am. A 8, 1518 (1991). See Eq. (6.4). [CrossRef]
  15. R. G. Littlejohn, R. Winston, “Corrections to classical radiometry,” J. Opt. Soc. Am. A 10, 2024–2037 (1993). The missing obliquity factor can be seen from the comparison of Eq. (5.11) of this reference with Eq. (2.9) of the present paper. Whereas the latter involves integration over a solid angle, the former is an integral over the transverse Cartesian coordinates of the direction vector. [CrossRef]

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