Il Nuovo Cimento (1955-1965)

, Volume 18, Issue 2, pp 347–356

Coherence properties of blackbody radiation

  • R. C. Bourret
Article

Summary

An explicit calculation of the space and time correlation functions of the electric field components in blackbody radiation is given. These functions are determined by the statistics of a photon gas since the Planck distribution law is essentially the power spectrum of the field fluctuations. The spatial coherence functions are developed in close analogy with the theory of isotropic turbulence of an incompressible fluid.

Riassunto

Si presenta un calcolo esplicito delle funzioni di correlazione dello spazio e del tempo delle componenti del campo elettrico nella radiazione del corpo nero. Queste funzioni sono determinate dalla statistica di un gas fotonico poichè la legge di distribuzione di Planck è essenzialmente lo spettro di potenza delle fluttuazioni di campo. Si sviluppano le funzioni spaziali di coerenza in stretta analogia con la teoria della turbolenza isotropica di un fluido incompressibile.

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References

  1. (1).
    E. Wolf:Nuovo Cimento,12, 884 (1954).CrossRefGoogle Scholar
  2. (2).
    G. K. Batchelor:The Theory of Homogeneous Turbulence (Cambridge, 1953).Google Scholar
  3. (3).
    H. P. Robertson:Proc. Camb. Phil. Soc.,36, 209 (1940).ADSCrossRefGoogle Scholar
  4. (4).
    J. Kampé de Fériet:Introduction to the statistical theory of turbulence-correlation and spectrum, Lecture Series no. 8, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland (1951).Google Scholar
  5. (**).
    The author has just learned of some umpublished studies byG. Hultgren of the California Institute of Tecnology in which this result, equation (27), is derived.Google Scholar
  6. (5).
    Shih-I Pai:Viscous Flow Theory — II:Turbulent Flow (New York, 1957), p. 228.Google Scholar
  7. (*).
    Cf.,e.g.,Pai:op. cit., p. 193.Google Scholar

Copyright information

© Società Italiana di Fisica 1960

Authors and Affiliations

  • R. C. Bourret
    • 1
  1. 1.Hughes Research LaboratoriesA Division of Hughes Aircraft CompanyMalibu

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