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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 9 — Sep. 1, 1966
  • pp: 1244–1246

Some Fluctuation Problems Associated with Blackbody Radiation

RICHARD BARAKAT  »View Author Affiliations

JOSA, Vol. 56, Issue 9, pp. 1244-1246 (1966)

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Blackbody radiation is a gaussian stochastic process and a knowledge of the moments of its energy spectrum (Planck radiation law) is sufficient to enable the determination of the expected number of zero crossings of the electric field vector as well as the expected number of peaks and expected number of maxima. Explicit formulas are presented for these quantities in terms of the Einstein function and transport integrals. In addition, the spectrum of the intensity fluctuations is obtained and similar calculations performed. Typical numerical results are shown.

RICHARD BARAKAT, "Some Fluctuation Problems Associated with Blackbody Radiation," J. Opt. Soc. Am. 56, 1244-1246 (1966)

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  1. L. Mandel and E. Wolf, Rev. Mlod. Phys. 37, 231 (1965). See Sec. 4.5 for discussion along with additional references.
  2. R. Bourret, Nuovo Cimento 18, 347 (1960).
  3. C. L. Mehta and E. Wolf, Phys. Rev. 134, A1143 (1964).
  4. L. Mandel, in Progress in Optics, II edited by E. Wolf (North Holland Publishing Co., Amsterdam, 1963), Ch. 5.
  5. D. Slepian, Bell System Tech. J. 37, 163 (1958).
  6. S. Rice, in Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover Publications Inc., New York, 1954), Ch. 4.
  7. W. M. Rogers and R. L. Powell, Tables oJ Transport Integrals, Natl. Bur. Std. Circ. 595 (U. S. Government Printing Office, Washington, 1958).
  8. C. L. Mehta, Nuovo Cimento 28, 401 (1963).
  9. Z. Kopal, Numerical Analysis (John Wiley & Sons, Inc., New York, 1955).

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