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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 11 — Nov. 1, 1978
  • pp: 1597–1605

The radiant intensity from planar sources of any state of coherence

E. Wolf  »View Author Affiliations


JOSA, Vol. 68, Issue 11, pp. 1597-1605 (1978)
http://dx.doi.org/10.1364/JOSA.68.001597


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Abstract

A new formula is derived for the radiant intensity from any steady, finite, primary or secondary planar source of any state of coherence. It expresses the radiant intensity as a two-dimensional spatial Fourier transform of a quantity that represents a correlation function of the field in the source plane, averaged over the area of the source. The formula may be regarded as a natural counterpart for fields generated by partially coherent sources to the well-known two-dimensional Fourier transform relation between the field distributions in the plane of a finite coherent source and in the far zone. Some implications of the new formula are discussed. An alternative expression is also obtained that is applicable when the the source is a primary one and it is shown to imply that the radiant intensity is then a boundary value on two real axes of an entire analytic function of two complex variables.

© 1978 Optical Society of America

Citation
E. Wolf, "The radiant intensity from planar sources of any state of coherence," J. Opt. Soc. Am. 68, 1597-1605 (1978)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-68-11-1597

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