Hostname: page-component-6bf8c574d5-956mj Total loading time: 0 Render date: 2025-02-27T08:48:02.145Z Has data issue: false hasContentIssue false
  • English
  • Français

XXIII.—Autocorrelation in Black Body Radiation and in Density Fluctuation Waves in Liquids*

Published online by Cambridge University Press:  14 February 2012

R. Fürth
R. Fürth
Affiliation:
Birkbeck College, University of London
Get access Rights & Permissions [Opens in a new window]

Synoposis

General formulae are derived from first principles for the temporal and spatial autocorrelation functions of stochastic parameters which are defined in terms of superposed, uncorrelated waves with known spectral density distribution. These formulae are first used for obtaining expressions for the autocorrelation functions of the components of the electromagnetic field strength and the electromagnetic energy density in black body radiation fields. The general theory is further applied to compression waves in liquids, and expressions are derived for the temporal and spatial autocorrelation of thermal density fluctuations in liquids, in particular near their critical point. Finally the spectrum of the fluctuations in the total radiation emitted by a thermal source, owing to the fluctuations in the energy supply to the source, is obtained from the appropriate Langevin equation, and the temporal autocorrelation function of the radiation intensity due to this cause is derived from the spectrum.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 4 , 1967 , pp. 289 - 302
Copyright
Copyright © Royal Society of Edinburgh 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

References to Literature

Bourret, R. C., 1960. Nuovo Cim., 18, 347.CrossRefGoogle Scholar
Fürth, R.; 1928. Z. Phys., 50, 310.CrossRefGoogle Scholar
Fürth, R., and Allnutt, A. J., 1966. Physica s' Grav., 32, 869.Google Scholar
Fürth, R., and Williams, C. R., 1954. Proc. Roy. Soc., A, 224, 104.Google Scholar
Kano, Y., and Wolf, E., 1962. Proc. Phys. Soc. Lond., 80, 1273.CrossRefGoogle Scholar
Mandel, L., and Wolf, E., 1965. Rev. Mod. Phys., 37, 231.CrossRefGoogle Scholar
Mehta, C. L., 1963. Nuovo Cim., 28, 401.CrossRefGoogle Scholar
Mehta, C. L., and Wolf, E., 1964. Phys. Rev., 134, A1143, A1149.CrossRefGoogle Scholar
Sarfatt, J., 1963. Nuovo Cim., 27, 1119.CrossRefGoogle Scholar
Wolf, E., 1966. Optica Acta, 13, 281.Google Scholar