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On the Radiation Efficiency of Quasi-Homogeneous Sources of Different Degrees of Spatial Coherence

  • E. Wolf
  • W. H. Carter
Conference paper

Abstract

Recent researches on the foundation of radiometry [1,2] have made it possible to provide answers to a number of puzzling questions relating to radiation from sources of different states of coherence. In particular, a relationship between the coherence properties of a source and the directionality of the light that the source generates has been established [3,4] at least for a wide class of sources of practical interest, and the coherence properties of Lambertian sources have been clarified [5] to a large extent.

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References

  1. 1.
    A. Walther, J. Opt. Soc. Am. 58, 1256 (1968).CrossRefGoogle Scholar
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    E.W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1219 (1974).ADSCrossRefGoogle Scholar
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    E. Wolf and W.H. Carter, Opt. Commun. 13, 205 (1975).ADSCrossRefGoogle Scholar
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    W.H. Carter and E. Wolf, J. Opt. Soc. Am. 67, 785 (1977).ADSCrossRefGoogle Scholar
  7. 7.
    For reasons well known in the theory of stationary random processes, the Fourier transform v(r,w) does not exist in the sense of the ordinary function theory, and must be understood to be a generalized function.Google Scholar
  8. 8.
    Superscripts (00) and (o) label quantities pertaining to the far zone and to the source plane, respectively.Google Scholar
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    E.W. Marchand and E. Wolf, J. Opt. Soc. Am. 62,379 (1972), Eq. (34).Google Scholar
  10. 10.
    The quantity I(r) = W(r,r) represents what is traditionally known in physical optics as simply the intensity. [The rather inappropriate term ‘irradiance’, which indicates a confusion between radiometry and physical optics, has also been frequently employed in recent literature]. Throughout this paper we refer to I(r), as the optical intensity to distinguish it clearly from the radiometric concept of radiant intensity that we denote by J(s).Google Scholar
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    L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976).ADSCrossRefMathSciNetGoogle Scholar
  12. 12.
    The efficiency factor corresponds to the so-called “transfer factor” that was recently discussed in the context of another class of sources by H.P. Baltes, B. Steinle and G. Antes, this Volume, p. 431.Google Scholar
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    There is a misprint in the corresponding formula (6.7) of Ref., 6. On the right-hand side of that formula the factor (2/7x) should be replaced by (2/7x)1/2..Google Scholar
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    See, for example, G.N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1922) p. 20, Eq. (5) (with an obvious substitution).Google Scholar
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    I.S. Gradsteyn and I.M. Ryshik, Tables of Integrals, Series and Products (Academic Press, New York, 1965) p. 730, formula 1 of 6. 671.Google Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • E. Wolf
    • 1
  • W. H. Carter
    • 2
  1. 1.University of RochesterRochesterUSA
  2. 2.Naval Research LaboratoryUSA

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