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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 12 — Dec. 1, 1979
  • pp: 1684–1690

Statistical inference of particle populations from scattered light

W. L. Anderson and S. Y. Shen  »View Author Affiliations

JOSA, Vol. 69, Issue 12, pp. 1684-1690 (1979)

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The analysis of coherent light scattering patterns, under certain conditions, for inference of the number of scatterers in each of several possible types is examined in terms of statistical parameter estimation theory. From the spatial autocorrelation of the patterns a criterion is established for reducing to negligible values the variances in estimates caused by spatial irradiance fluctuations. On the basis of these considerations a rationale for the use of optical processing to effect minimumvariance linear unbiased estimates of particle numbers is given.

© 1980 Optical Society of America

W. L. Anderson and S. Y. Shen, "Statistical inference of particle populations from scattered light," J. Opt. Soc. Am. 69, 1684-1690 (1979)

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  1. W. L. Anderson, "Particle counting and sizing by Fourier-plane measurements of scattered light," J. Opt. Soc. Am. 58, 1566–1567A (1968).
  2. W. L. Anderson and R. E. Beissner, "Counting and classifying small objects by far-field light scattering," Appl. Opt. 10, 1503–1508 (1971).
  3. S. Y. Shen and W. L. Anderson, "Small-object counting and classification by scattered light," J. Opt. Soc. Am. 64, 1399A (1974).
  4. H. Stark and B. Dimitriadis, "Minimum-bias spectral estimation with a coherent optical spectrum analyzer," J. Opt. Soc. Am. 65, 425–431/973E (1975).
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  10. R. Barakat, "First-Order Probability Densities of Laser Speckle Patterns Observed through Finite-Size Scanning Apertures," Opt. Acta 20, 729–740 (1973).
  11. J. W. Goodman, "Some fundamental properties of speckle," J. Opt. Soc. Am. 66, 1145–1149 (1976).
  12. T. O. Lewis and P. L. Odell, Estimation in Linear Models (Prentice- Hall, Englewood Cliffs, N. J., 1971), pp. 52–55.
  13. J. H. Ward, "Determination of particle-size distributions from composite diffraction-pattern data," J. Opt. Soc. Am. 58, 1566A (1968).
  14. F. P. Carlson and C. K. Lee, "An Adaptive Coherent Optical Processor for Cell Recognition and Counting," IEEE Trans. BioMed. Engr. BME-25, 361–367 (1978).
  15. H. L. van Trees, Detection, Estimation and Modulation Theory, Part I, (Wiley, New York, 1968), p. 76.

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