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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 1 — Jan. 1, 2007
  • pp: 124–132

Reconstruction of particle-size distributions from light-scattering patterns using three inversion methods

Javier Vargas-Ubera, J. Félix Aguilar, and David Michel Gale  »View Author Affiliations


Applied Optics, Vol. 46, Issue 1, pp. 124-132 (2007)
http://dx.doi.org/10.1364/AO.46.000124


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Abstract

By means of a numerical study we show particle-size distributions retrieved with the Chin–Shifrin, Phillips–Twomey, and singular value decomposition methods. Synthesized intensity data are generated using Mie theory, corresponding to unimodal normal, gamma, and lognormal distributions of spherical particles, covering the size parameter range from 1 to 250. Our results show the advantages and disadvantages of each method, as well as the range of applicability for the Fraunhofer approximation as compared to rigorous Mie theory.

© 2007 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.3200) Scattering : Inverse scattering
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

ToC Category:
Scattering

History
Original Manuscript: July 10, 2006
Manuscript Accepted: August 28, 2006

Virtual Issues
Vol. 2, Iss. 2 Virtual Journal for Biomedical Optics

Citation
Javier Vargas-Ubera, J. Félix Aguilar, and David Michel Gale, "Reconstruction of particle-size distributions from light-scattering patterns using three inversion methods," Appl. Opt. 46, 124-132 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-1-124


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References

  1. H. C. van de Hulst, Light Scattering by Small Particles, 2nd ed. (Dover 1981).
  2. J. R. Hodkinson, "Particle sizing by means of the forward scattering lobe," Appl. Opt. 5, 839-844 (1966). [CrossRef] [PubMed]
  3. A. R. Jones, "Error contour charts relevant to particle sizing by forward-scattered lobe methods," J. Phys. D 10, L163-L165 (1977). [CrossRef]
  4. A. L. Fymat, "Analytical inversions in remote sensing of particle size distributions. 2: Angular and spectral scattering in diffraction approximations," Appl. Opt. 17, 1677-1678 (1978). [CrossRef] [PubMed]
  5. J. Liu, "Essential parameters in particle sizing by integral transform inversions," Appl. Opt. 36, 5535-5545 (1997). [CrossRef] [PubMed]
  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). [CrossRef] [PubMed]
  7. S. D. Coston and N. George, "Particle sizing by inversion of the optical transform pattern," Appl. Opt. 30, 4785-4794 (1991). [CrossRef] [PubMed]
  8. 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). [CrossRef] [PubMed]
  9. J. B. Riley and Y. C. Agrawal, "Sampling and inversion of data in diffraction particle sizing," Appl. Opt. 30, 4800-4817 (1991). [CrossRef] [PubMed]
  10. 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). [CrossRef] [PubMed]
  11. E. D. Hirleman, "Optimal scaling of the inverse Fraunhofer diffraction particle sizing problem: the linear system produced by quadrature," Part. Part. Syst. Charact. 4, 128-133 (1987). [CrossRef]
  12. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran: the Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992).
  13. S. Twomey, "On the numerical solution of Fredholm integral equations of the first kind by inversion of the linear system produced by quadrature," J. Assoc. Comput. Mach. 10, 97-101 (1963).
  14. D. A. Ligon, T. W. Chen, and J. B. Gillespie, "Determination of aerosol parameters from light-scattering data using an inverse Monte Carlo technique," Appl. Opt. 35, 4297-4303 (1996). [CrossRef] [PubMed]
  15. N. S. Mera, L. Elliott, and D. B. Ingham, "On the use of genetic algorithms for solving ill-posed problems," Inverse Probl. Eng. 11, 105-121 (2003). [CrossRef]
  16. M. Ye, S. Wang, Y. Lu, T. Hu, Z. Zhu, and Y. Xu, "Inversion of particle-size distribution from angular light-scattering data with genetic algorithms," Appl. Opt. 38, 2677-2685 (1999). [CrossRef]
  17. S. D. Coston and N. George, "Recovery of particle-size distributions by inversion of the optical transform intensity," Opt. Lett. 16, 1918-1920 (1991). [CrossRef] [PubMed]

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