Abstract

An equivalence theorem is formulated that provides conditions under which planar sources of different states of spatial coherence will generate optical fields that have identical far-zone intensity distributions. As an example, a partially coherent source whose linear dimensions are large compared with the correlation length of the light across the source is described that will generate a field whose far-zone intensity distribution is identical with that of a Gaussian laser beam.

© 1978 Optical Society of America

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  1. For a definition of the cross-spectral density function see, for example, L. Mandel, E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” Opt. J. Soc. Am. 66, 529–535 (1976), Eqs. (2.4) and (2.5a).
    [CrossRef]
  2. The radiant intensity Jω(s) represents the rate at which energy, at the temporal frequency ω, is radiated by the source per unit solid angle around the s direction. It is related to the optical intensity Iω(Rs) at the point in the far zone, specified by position vector Rs, by the formula (to be understood in the asymptotic sense as kR → ∞) Iω(Rs) = [Jω(s)]/R2.
  3. E. W. Marchand, E. Wolf, “Radiometry with sources of any state of coherence,” J. Opt. Soc. Am. 64, 1219–1226 (1974), Eq. (41).
    [CrossRef]
  4. E. W. Marchand, E. Wolf, “Angular correlation and the far-zone behavior of partially coherent fields,” J. Opt. Soc. Am. 62, 379–385 (1972), Eq. (34).
    [CrossRef]
  5. W. H. Carter, E. Wolf, “Coherence and radiometry with quasihomogeneous planar sources,” J. Opt. Soc. Am. 67, 785–796 (1977).
    [CrossRef]
  6. F. Scudieri, M. Bertolotti, R. Bartolino, “Light scattered by a liquid crystal: a new quasi-thermal source,” Appl. Opt. 13, 181–185 (1974).
    [CrossRef] [PubMed]
  7. M. Bertolotti, F. Scudieri, S. Verginelli, “Spatial coherence of light scattered by media with large correlation length of refractive index fluctuations,” Appl. Opt. 15, 1842–1844 (1976).
    [CrossRef] [PubMed]

1977 (1)

1976 (2)

For a definition of the cross-spectral density function see, for example, L. Mandel, E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” Opt. J. Soc. Am. 66, 529–535 (1976), Eqs. (2.4) and (2.5a).
[CrossRef]

M. Bertolotti, F. Scudieri, S. Verginelli, “Spatial coherence of light scattered by media with large correlation length of refractive index fluctuations,” Appl. Opt. 15, 1842–1844 (1976).
[CrossRef] [PubMed]

1974 (2)

1972 (1)

Bartolino, R.

Bertolotti, M.

Carter, W. H.

Mandel, L.

For a definition of the cross-spectral density function see, for example, L. Mandel, E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” Opt. J. Soc. Am. 66, 529–535 (1976), Eqs. (2.4) and (2.5a).
[CrossRef]

Marchand, E. W.

Scudieri, F.

Verginelli, S.

Wolf, E.

Appl. Opt. (2)

J. Opt. Soc. Am. (3)

Opt. J. Soc. Am. (1)

For a definition of the cross-spectral density function see, for example, L. Mandel, E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” Opt. J. Soc. Am. 66, 529–535 (1976), Eqs. (2.4) and (2.5a).
[CrossRef]

Other (1)

The radiant intensity Jω(s) represents the rate at which energy, at the temporal frequency ω, is radiated by the source per unit solid angle around the s direction. It is related to the optical intensity Iω(Rs) at the point in the far zone, specified by position vector Rs, by the formula (to be understood in the asymptotic sense as kR → ∞) Iω(Rs) = [Jω(s)]/R2.

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