Optical Signal Processing in Integral Transform Solution Applications in Particle Sizing

  • Janusz Mroczka


Light scattering theory in dispersed systems illuminated by a beam of parallel rays can be formulated similarly to the electromagnetic diffraction theory. If it is assumed that the source of flat waves and a radiation detector are placed far from the examined dispersed system sample and that the dispersed phase particles are spherical, the description of light scattering phenomenon corresponds to the Fraunhofer diffraction theory1.


Scattered Light Intensity Fredholm Equation Disperse Phase Particle Particle Size Distribution Function Fraunhofer Diffraction 
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  1. 1.
    A. Sommerfeld, “Optics,” Lectures on theoretical physics., Vol. 4, Acad. Press, New York, 1954.zbMATHGoogle Scholar
  2. 2.
    E. L. Dereniak, D. G. Crowe, “Optical Radiation Detectors”, J. Wiley and Sone Inc., New York, 1984.Google Scholar
  3. 3.
    K. S. Šifrin, V. I. Golikov, “Izmerenija Mikrostruktury Metodom Malých Uglov,” Trudy GGO, 1964, vyp. 152, s. 3–15.Google Scholar
  4. 4.
    K. S. Sifrin, “Suscestvennaja Oblast Uglov Rassejania pri Izmerenii Raspredelenia Castic po Razmeram Metodom Malých Uglov,” Fiz. Atmos. Okeana, 1966, T. 2, No. 9, s. 928–932.Google Scholar
  5. 5.
    J. Mroczka, “Metrological Problems of Scattered Light Application for Particle Size Distribution Investigation in Dispersed Solutions,” Metrology and Measuring Systems; Monograph No. 4, Warsaw 1990 (in Polish).Google Scholar
  6. 6.
    A. N. Tichonov. V. J. A. Arsenin, “Metody Resenija Nekorrektnych Zadac,” IZD. “Nauka”, Gl. Red. Fiz.- Mat. Lit., Moskva, 1974.Google Scholar
  7. 7.
    E. C. Titchmarsii, Extensions of Fouriers’ integral formula to formulae involving Bessel functions, Proc. London Math. Soc, 1925, Vol. 23, ser. 2, pp. XXII-XXIV.Google Scholar
  8. 8.
    J. Mroczka, Method of moments in light scattering data inversion in the particle size distribution function, Optics Communications, 99:147 (1993).CrossRefGoogle Scholar
  9. 9.
    J. Mroczka, Metrological problems of scattered light application in particle sizing, The Third International Congress on Optical Particle Sizing, August 23–26,1993 Yokohama, Japan.Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Janusz Mroczka
    • 1
  1. 1.Institute of Electrical MetrologyTechnical University of WrocławWrocławPoland

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