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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 19, Iss. 11 — Jun. 1, 1980
  • pp: 1787–1793

Improvements to the spectral transparency method for determining particle-size distribution

A. Ya. Perelman and K. S. Shifrin  »View Author Affiliations


Applied Optics, Vol. 19, Issue 11, pp. 1787-1793 (1980)
http://dx.doi.org/10.1364/AO.19.001787


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Abstract

The previously developed spectral transparency method is improved in two ways: (a) A calculation scheme is developed that enables the consideration of light dispersion within a substance. We abandon the assumption that m(ν) = const and develop a method of calculating N(r) from γ*(ν) provided that the function m(ν) is specified. (b) A new scheme of processing data on γ*(ν) is proposed that significantly reduces the oscillation in the answer and requires less initial experimental data.

© 1980 Optical Society of America

History
Original Manuscript: June 1, 1979
Published: June 1, 1980

Citation
A. Ya. Perelman and K. S. Shifrin, "Improvements to the spectral transparency method for determining particle-size distribution," Appl. Opt. 19, 1787-1793 (1980)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-19-11-1787


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References

  1. I. L. Zelmanovich, K. S. Shifrin, Light Scattering Tables (Gidrometeoizadat, Moscow, 1971), Vol. 4.
  2. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  3. K. S. Shifrin, A. Ya. Perelman, Dokl. Akad. Nauk SSSR 151, 326 (1963).
  4. K. S. Shifrin, A. Ya. Perelman, Opt. Spektrosk. 15, 533, 667, 803 (1963);Opt. Spektrosk. 16, 117 (1964); [Opt. Spectrosc. 15, 285, 362, 434 (1963); 16, 61 (1964)];Geofis. Pura Appl. 58, 208 (1964).
  5. K. S. Shifrin, A. Ya. Perelman, Opt. Spektrosk. 20, 143 (1966) [Opt. Spectrosc. 20, 75 (1966)].
  6. K. S. Shifrin, A. Ya. Perelman, Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 1, 964 (1965).
  7. K. S. Shifrin, A. Ya. Perelman, Opt. Spektrosk. 20, 692 (1966) [Opt. Spectrosc. 20, 386 (1966)].
  8. A. S. Lagunov, L. P. Baivel, V. K. Litvinov, V. K. Kariazova, Opt. Spektrosk. 43, 157 (1977) [Opt. Spectrosc. 43, 86 (1977)].
  9. It is essential that the kernel of the equation depend on the product of the variables y and r. All the details that refer to inverting Eq. (5) are given in Ref. 4.
  10. The calculations have been performed by S. Todorova, a probationer from Bulgaria, by means of the tables cited in Ref. 1. In these tables the dependence of m(ν) is given numerically. If m(ν) is known analytically, the calculations will be significantly simplified.
  11. A. Ya. Perelman, K. S. Shifrin, Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 15, 66 (1979).
  12. K. S. Shifrin, Light Scattering in Turbid Media (GTTI, Moscow, 1951; NASA, Washington, D.C., 1968).
  13. K. S. Shifrin, A. Ya. Perelman, V. M. Volgin, Opt. Spektrosk.47, 1147 (1979) [Opt. Spectrosc. 47, in press (1979)].

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