Abstract

This paper proposes a method for determining the size and polydisperseness of particles suspended in a liquid, based on recording the small-angle-scattering spectra in the range from 190 to 1100nm and interpreting the spectra by means of a mathematical model based on Mie theory.

© 2008 Optical Society of America

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References

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  1. V. E. Zuev and I. E. Naats, Inverse Problems of Laser Probing of the Atmosphere (Nauka, Novosibirsk, 1982).
  2. A. N. Tikhonov, “On the stability of inverse problems,” Dokl. Akad. Nauk SSSR 39, 5, 195 (1943).
  3. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Ill-Posed Problems (Moscow, Nauka, 1986).
  4. M. M. Lavrent'ev, V. G. Romanov, and S. P. Shishatskiĭ, Ill-Posed Problems of Mathematical Physics and Analysis (Nauka, Moscow, 1980).
  5. V. F. Turchin, V. P. Kozlov, and M. S. Malkevich, “Using the methods of mathematical statistics to solve ill-posed problems,” Usp. Fiz. Nauk 102, 345 (1970).
  6. K. S. Shifrin, The Study of the Properties of Matter from Single Scattering. Theoretical and Applied Problems of Light Scattering (Nauka i Tekhnika, Minsk, 1971), pp. 228-244.
  7. L. Hespel, A. Delfour, and B. Guillame, “Mie light-scattering granulometer with an adaptive numerical filtering method. II. Experiment,” Appl. Opt. 40, 974 (2001).
  8. A. D. Levin, “Method of determining the parameters of particles suspended in a liquid from the small-angle-scattering spectra of light and a device for implementing it,” Appl. for Invention No. 2006123351/28(025366), 7/3/2006.
  9. C. F. Bohren and D. E. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).
  10. K. S. Shifrin and I. N. Salganik, Tables on Light Scattering. The Scattering of Light by Models of Sea Water, Vol. 5 (Gidrometeoizdat, Leningrad, 1973).
  11. F. Ferri, A. Bassini, and A. Paganini, “Modified version of the Chachine algorithm to invert spectral extinction data for particle sizing,” Appl. Opt. 34, 5829 (1995).
  12. X. Ma, Q. J. Lu, R. S. Brock, K. M. Jacobs, P. Yang, and X. Hu, “Determination of complex refractive index of polystyrene microspheres from 370 to 1610nm,” Phys. Med. Biol. 48, 4165 (2003).
    [CrossRef]

2003 (1)

X. Ma, Q. J. Lu, R. S. Brock, K. M. Jacobs, P. Yang, and X. Hu, “Determination of complex refractive index of polystyrene microspheres from 370 to 1610nm,” Phys. Med. Biol. 48, 4165 (2003).
[CrossRef]

2001 (1)

1995 (1)

1970 (1)

V. F. Turchin, V. P. Kozlov, and M. S. Malkevich, “Using the methods of mathematical statistics to solve ill-posed problems,” Usp. Fiz. Nauk 102, 345 (1970).

1943 (1)

A. N. Tikhonov, “On the stability of inverse problems,” Dokl. Akad. Nauk SSSR 39, 5, 195 (1943).

Appl. Opt. (2)

Dokl. Akad. Nauk SSSR (1)

A. N. Tikhonov, “On the stability of inverse problems,” Dokl. Akad. Nauk SSSR 39, 5, 195 (1943).

Phys. Med. Biol. (1)

X. Ma, Q. J. Lu, R. S. Brock, K. M. Jacobs, P. Yang, and X. Hu, “Determination of complex refractive index of polystyrene microspheres from 370 to 1610nm,” Phys. Med. Biol. 48, 4165 (2003).
[CrossRef]

Usp. Fiz. Nauk (1)

V. F. Turchin, V. P. Kozlov, and M. S. Malkevich, “Using the methods of mathematical statistics to solve ill-posed problems,” Usp. Fiz. Nauk 102, 345 (1970).

Other (7)

K. S. Shifrin, The Study of the Properties of Matter from Single Scattering. Theoretical and Applied Problems of Light Scattering (Nauka i Tekhnika, Minsk, 1971), pp. 228-244.

A. D. Levin, “Method of determining the parameters of particles suspended in a liquid from the small-angle-scattering spectra of light and a device for implementing it,” Appl. for Invention No. 2006123351/28(025366), 7/3/2006.

C. F. Bohren and D. E. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

K. S. Shifrin and I. N. Salganik, Tables on Light Scattering. The Scattering of Light by Models of Sea Water, Vol. 5 (Gidrometeoizdat, Leningrad, 1973).

V. E. Zuev and I. E. Naats, Inverse Problems of Laser Probing of the Atmosphere (Nauka, Novosibirsk, 1982).

A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Ill-Posed Problems (Moscow, Nauka, 1986).

M. M. Lavrent'ev, V. G. Romanov, and S. P. Shishatskiĭ, Ill-Posed Problems of Mathematical Physics and Analysis (Nauka, Moscow, 1980).

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