OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 38, Iss. 12 — Apr. 20, 1999
  • pp: 2677–2685

Inversion of particle-size distribution from angular light-scattering data with genetic algorithms

Mao Ye, Shimin Wang, Yong Lu, Tao Hu, Zhen Zhu, and Yiqian Xu  »View Author Affiliations

Applied Optics, Vol. 38, Issue 12, pp. 2677-2685 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (268 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A stochastic inverse technique based on a genetic algorithm (GA) to invert particle-size distribution from angular light-scattering data is developed. This inverse technique is independent of any given a priori information of particle-size distribution. Numerical tests show that this technique can be successfully applied to inverse problems with high stability in the presence of random noise and low susceptibility to the shape of distributions. It has also been shown that the GA-based inverse technique is more efficient in use of computing time than the inverse Monte Carlo method recently developed by Ligon et al. [Appl. Opt. 35, 4297 (1996)].

© 1999 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(000.5490) General : Probability theory, stochastic processes, and statistics
(290.3200) Scattering : Inverse scattering
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

Original Manuscript: May 7, 1998
Revised Manuscript: November 16, 1998
Published: April 20, 1999

Mao Ye, Shimin Wang, Yong Lu, Tao Hu, Zhen Zhu, and Yiqian Xu, "Inversion of particle-size distribution from angular light-scattering data with genetic algorithms," Appl. Opt. 38, 2677-2685 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. C. van de Hulst, Light Scattering by Small Particles, (Wiley, New York, 1957).
  2. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  3. D. A. Ligon, T. W. Chen, 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]
  4. G. F. Miller, “Fredholm equation of the first kind,” in Numerical Solution of Integral Equations, L. M. Delves, J. Walsh, eds. (Clarendon, Oxford, 1974), pp. 175–188.
  5. G. M. Quist, P. J. Wyatt, “Empirical solution to inverse-scattering problem by optical strip-map technique,” J. Opt. Soc. Am. A 2, 1979–1985 (1985). [CrossRef]
  6. M. R. Jones, B. P. Curry, M. Q. Brewster, K. H. Leong, “Inversion of light-scattering measurements for particle size and optical constants: theoretical study,” Appl. Opt. 33, 4025–4034 (1994). [CrossRef] [PubMed]
  7. J. H. Koo, 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]
  8. L. P. Baryvel, A. R. Jones, Electromagnetic Scattering and Its Applications (Applied Science, London, 1981). [CrossRef]
  9. 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 (1988). [CrossRef]
  10. L. C. Chow, C. L. Tien, “Inversion techniques for determining the droplet size distribution in clouds,” Appl. Opt. 15, 378–383 (1976). [CrossRef] [PubMed]
  11. E. R. Westwater, A. Cohen, “Application of Backus–Gibert inversion technique to determination of aerosol size distributions from optical scattering measurements,” Appl. Opt. 12, 1340–1344 (1973). [CrossRef] [PubMed]
  12. F. Ferri, A. Bassini, E. Paganin, “Modified version of the Chahine algorithm to invert spectral extinction data for particle sizing,” Appl. Opt. 34, 5829–5839 (1995). [CrossRef] [PubMed]
  13. S. Arridge, P. van der Zee, D. T. Delpy, M. Cope, “Particle sizing in the Mie scattering region: singular-value analysis,” Inverse Probl. 5, 671–689 (1989). [CrossRef]
  14. J. He, S. Wang, J. Cheng, S. Zhang, “Inversion of particle size distribution from light scattering spectrum,” Inverse Probl. 12, 633–639 (1996). [CrossRef]
  15. B. P. Curry, “Constrained eigenfunction method for the inversion of remote sensing data: application to particle size determination from light scattering measurement,” Appl. Opt. 28, 1345–1355 (1989). [CrossRef] [PubMed]
  16. J. H. Holland, Adaptation in Natural and Artificial System (U. Michigan Press, Ann Arbor, Mich., 1975).
  17. J. D. Bagley, “The behavior of adaptive systems which employ genetic and correlation algorithms,” Dissertation Abstr. Int. 28, 5106B (1967).
  18. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, Reading, Mass., 1989).
  19. Y. Liu, L. Kang, Y. Chen, Genetic Algorithms (Academic, Beijing, 1995; in Chinese).
  20. R. V. Davalos, B. Rubinsky, “An evolutionary-genetic approach to heat transfer analysis,” J. Heat Transfer 118, 528–531 (1997). [CrossRef]
  21. M. R. Jones, M. Q. Brewster, Y. Yamada, “Application of a genetic algorithm to the optical characterization of propellant smoke,” J. Thermophys. Heat Transfer 10, 372–377 (1996). [CrossRef]
  22. L. Davis, Handbook of Genetic Algorithms (Van Nostrand Reinhold, New York, 1991).
  23. D. Whitley, “The genitor algorithm and selection pressure: why rank-based allocation of reproductive trials is best,” in Proceedings of the Third International Conference on Genetic Algorithms and Their Applications, J. D. Schaffer, ed. (Morgan Kaufmann, Los Altos, Calif., 1989), pp. 116–121.
  24. L. J. Eshelman, R. A. Caruana, J. D. Schaffer, “Biases in the crossover landscape,” in Proceedings of the Third International Conference on Genetic Algorithms and Their Applications, J. D. Schaffer, ed. (Morgan Kaufmann, Los Altos, Calif., 1989), pp. 10–19.
  25. N. Johnson, S. Kotz, Continuous Univariate Distributions—1 and 2 (Houghton Mifflin, New York, 1970).
  26. A. B. Yu, N. Standish, “A study of particle size distribution,” Powder Technol. 62, 101–118 (1990). [CrossRef]
  27. J. B. Riley, Y. C. Agrawal, “Sampling and inversion of data in diffraction particle sizing,” Appl. Opt. 30, 4800–4813 (1991). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited