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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 63, Iss. 4 — Apr. 1, 1973
  • pp: 422–425

Average form of polarization of partially polarized gaussian light

Bahaa E. A. Saleh  »View Author Affiliations

JOSA, Vol. 63, Issue 4, pp. 422-425 (1973)

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The ratio between the components of the complex amplitudes of a plane, completely polarized, electromagnetic wave describes the state of polarization. For partially polarized gaussian light, the average value of this ratio is found to be simply related to the elements of the coherency matrix. This average is related to the degree of polarization and the cross-correlation function. Its propagation through linear optical systems is discussed.Index Headings: Polarization; Ellipsometry; Coherence.

Bahaa E. A. Saleh, "Average form of polarization of partially polarized gaussian light," J. Opt. Soc. Am. 63, 422-425 (1973)

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  1. V. Rumsey, Proc. IRE 39, 535 (1951).
  2. H. G. Jerrard, J. Opt. Soc. Am. 44, 634 (1954).
  3. D. A. Holmes and D. L. Feucht, J. Opt. Soc. Am. 57, 466 (1967).
  4. R. M. A. Azzam and N. M. Bashara, J. Opt. Soc. Am. methods. 62, 222 (1972).
  5. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963).
  6. W. A. Shurcliff, Polarized Light (Harvard U. P., Cambridge, States. Mass., 1962).
  7. C. W. Helstrom, Statistical Theory of Signal Detection (Pergamon, Oxford, 1968).
  8. I am indebted to a reviewer for suggesting this simple proof (1967). of Eq. (7).

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