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

Applied Optics

Volumn 38, Issue 12, 1999, Pages 2677-2685

  Ye, Mao ^a   Wang, Shimin ^a   Lu, Yong ^a   Hu, Tao ^a   Zhu, Zhen ^a   Xu, Yiqian ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011361847     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.38.002677     Document Type: Article

References (27)

1. H. C. van de Hulst, Light Scattering by Small Particles, (Wiley, New York, 1957).
2. M. Kerker, The Scattering ofLight and Other Electromagnetic Radiation (Academic, New York, 1969).
3. 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).
4. G. F. Miller, “Fredholm equation of the first kind,” in Numerical Solution of Integral Equations, L. M. Delves and J. Walsh, eds. (Clarendon, Oxford, 1974), pp. 175-188.
5. G. M. Quist and P. J. Wyatt, “Empirical solution to inversescattering problem by optical strip-map technique,” J. Opt. Soc. Am. A 2, 1979-1985 (1985).
6. M. R. Jones, B. P. Curry, M. Q. Brewster, and K. H. Leong, “Inversion of light-scattering measurements for particle size and optical constants: theoretical study,” Appl. Opt. 33, 4025-4034 (1994).
7. 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).
8. L. P. Baryvel and A. R. Jones, Electromagnetic Scattering and Its Applications (Applied Science, London, 1981).
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).
10. L. C. Chow and C. L. Tien, “Inversion techniques for determining the droplet size distribution in clouds,” Appl. Opt. 15, 378-383 (1976).
11. E. R. Westwater and A. Cohen, “Application of Backus-Gibert inversion technique to determination of aerosol size distributions from optical scattering measurements,” Appl. Opt. 12, 1340-1344 (1973).
12. F. Ferri, A. Bassini, and E. Paganin, “Modified version of the Chahine algorithm to invert spectral extinction data for particle sizing,” Appl. Opt. 34, 5829-5839 (1995).
13. S. Arridge, P. van der Zee, D. T. Delpy, and M. Cope, “Particle sizing in the Mie scattering region: singular-value analysis,” Inverse Probl. 5, 671-689 (1989).
14. J. He, S. Wang, J. Cheng, and S. Zhang, “Inversion of particle size distribution from light scattering spectrum,” Inverse Probl. 12, 633-639 (1996).
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).
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, and Y. Chen, Genetic Algorithms (Academic, Beijing, 1995; in Chinese).
20. R. V. Davalos and B. Rubinsky, “An evolutionary-genetic approach to heat transfer analysis,” J. Heat Transfer 118, 528-531 (1997).
21. M. R. Jones, M. Q. Brewster, and Y. Yamada, “Application of a genetic algorithm to the optical characterization of propellant smoke,” J. Thermophys. Heat Transfer 10, 372-377 (1996).
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, and 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 and S. Kotz, Continuous Univariate Distri-butions—1 and 2 (Houghton Mifflin, New York, 1970).
26. A. B. Yu and N. Standish, “A study of particle size distribution,” Powder Technol. 62, 101-118 (1990).
27. J. B. Riley and Y. C. Agrawal, “Sampling and inversion of data in diffraction particle sizing,” Appl. Opt. 30, 4800-4813 (1991).