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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 3, Iss. 4 — Oct. 1, 1978
  • pp: 127–129

Theorem on the uniqueness of the generalized radiance

A. Walther  »View Author Affiliations


Optics Letters, Vol. 3, Issue 4, pp. 127-129 (1978)
http://dx.doi.org/10.1364/OL.3.000127


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Abstract

We study the consequences of requiring that the generalized radiance depend linearly on the cross-spectral density, be zero wherever the field amplitude is zero, and can be defined independently of coordinate translations. We show that these requirements determine the generalized radiance uniquely, and that the resulting definition is independent of coordinate rotations.

© 1978 Optical Society of America

History
Original Manuscript: June 9, 1978
Published: October 1, 1978

Citation
A. Walther, "Theorem on the uniqueness of the generalized radiance," Opt. Lett. 3, 127-129 (1978)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-3-4-127


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References

  1. E. Wolf, “Coherence and radiometry,” J. Opt. Soc. Am. 68, 6–17 (1978). [CrossRef]
  2. A. Walther, in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer Verlag, Berlin, in press), Chap. 5, Sec. 3.
  3. A. Walther, “Radiometry and coherence,” J. Opt. Soc. Am. 63, 1622–1623 (1973). [CrossRef]
  4. E. W. Marchand, E. Wolf, “Walther’s definition of generalized radiance,” J. Opt. Soc. Am. 64, 1273–1274 (1974). [CrossRef]
  5. A. Walther, “Reply to Marchand and Wolf,” J. Opt. Soc. Am. 64, 1275 (1974). [CrossRef]
  6. A. T. Friberg, “On the existence of a radiance function for finite planar sources of arbitrary states of coherence,” J. Opt. Soc. Am., in press.

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