Essential parameters in particle sizing by integral transform inversions

Applied Optics

Volumn 36, Issue 22, 1997, Pages 5535-5545

  Liu, Jong Jian ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Inversion methods; Particle sizing

Indexed keywords

EID: 0010572366     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.005535     Document Type: Article

References (23)

1. J. H. Chin, C. M. Sliepcevich, and M. Tribus, “Particle size distributions from angular variation of intensity of forward-scattered light at very small angle, ” J. Phys. Chem. 59, 841-844 (1955).
2. K. S. Shifrin and A. Y. Perleman, “Inversion of light scattering data for the determination of spherical particle spectrum, ” in Electromagnetic Scattering, R. L. Rowell and R. S. Stein, eds. (Gordon & Breach, New York, 1967).
3. K. S. Shifrin and I. B. Kolmakov, “Calculation of particle size spectrum from direct and integral values of the indicatrix in the small angle region, ” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 3, 749-753 (1967).
4. L. N. Boitova, F. A. Kudryavitskii, G. D. Petrov, V. L. Robin-skii, and R. N. Sokolov, “Particle size distribution for the flame from a mixture containing magnesium power, ” Combust. Explosion Shock Waves 12, 258-262 (1976).
5. S. D. Coston and N. George, “Particle sizing by inversion of the optical transform pattern, ” Appl. Opt. 30, 4785-4794 (1991).
6. J. H. Koo and E. D. Hirleman, “Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light, ” Appl. Opt. 31, 2130-2140 (1992).
7. L. C. Chow and C. L. Tien, “Inversion techniques for determining the droplet size distribution in clouds: numerical examination, ” Appl. Opt. 15, 378-383 (1976).
8. D. Holve and S. A. Self, “Optical particle sizing for in situ measurements. Parts 1, ” Appl. Opt. 18, 1632-1645 (1979).
9. R. Santer and M. Herman, “Particle size distributions from forward scattered light using the Chahine inversion scheme, ” Appl. Opt. 22, 2294-2301 (1983).
10. E. D. Hirleman, “Optimal scaling of the inverse Fraunhofer diffraction particle sizing problem: the linear system produced by quadrature, ” Part. Charact. 4, 128-133 (1987).
11. K. S. Shifrin and G. Tonna, “Inverse problems related to light scattering in the atmosphere and ocean, ” Adv. Geophys. 34, 175-253 (1993).
12. K. S. Shifrin and I. B. Kolmakov, “Effect of limitation of the range of measurement of the indicatrix on the accuracy of the small-angle method, ” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 2, 514-518 (1966).
13. K. S. Shifrin, “The essential range of scattering angles in measuring particle-size distribution by the small-angle method, ” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 2, 559-561 (1966).
14. A. L. Fymat and K. D. Mease, “Reconstruction of the size distribution of spherical particles from angular forward scattering data, ” in Remote Sensing of the Atmosphere: Inversion Methods and Applications, A. Fymat and V. E. Zuev, eds. (Elsevier, New York, 1978).
15. J. C. Knight, D. Ball, and G. N. Robertson, “Analytical inversion for laser diffraction spectrometry giving improved resolution and accuracy in size distribution, ” Appl. Opt. 30, 4795-4799 (1991).
16. A. N. Tikhonov and V. Y. Arsenin, Solution on Ill-Posed Problems (Winston, Washington, D.C., 1977).
17. E. C. Titchmarch, “Extension of Fourier’s integral formula to formulae involving Bessel functions, ” Proc. London Math. Soc. Ser. 2 23, 22-24 (1924).
18. H. Bateman, “On the inversion of a definite integral, ” Proc. London Math. Soc. Ser. 4, 461-498 (1906).
19. J. E. Hansen, “Multiple scattering of polarized light in planetary atmospheres. Part II. Sunlight reflected by terrestrial water clouds, ” J. Atmos. Sci. 28, 1400-1426 (1972).
20. J. E. Hansen J. Atmos. Sci. Malvern Instruments Ltd., Malvern, Worcsester, England.
21. E. D. Hirleman, V. Oechsle, and N. A. Chigier, “Response characteristics of laser diffraction particle size analyzers: optical sample volume extent and lens effects, ” Opt. Eng. 23, 610-619 (1984).
22. K. S. Shifrin and V. A. Punina, “Light scattering indicatrix in the region of small angles, ” Izv. Acad. Sci. USSR Atmos. Oceanic Phys. 4, 450-453 (1968).
23. A. L. Fymat and K. D. Mease, “Mie forward scattering: improved semiempirical approximation with application to particle size distribution inversion, ” Appl. Opt. 20, 194-198 (1981).