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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 12 — Dec. 19, 2012

Discussion concerning ill-conditioned kernel matrices when retrieving particle size distributions based on scattered radiation distribution

Zuo Haoyi, Ma Qian, and Luo Shirong  »View Author Affiliations

JOSA B, Vol. 29, Issue 11, pp. 3096-3102 (2012)

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This paper presents two conclusions concerning the scattered light distribution method for particle sizing: (1) a large difference in vector values is one of the primary causes of an ill-conditioned kernel matrix, and (2) under narrow band and high resolution particle size conditions, the forward scattering region would introduce a larger error into the particle size distribution. Numerical simulations verify these results.

© 2012 Optical Society of America

OCIS Codes
(290.4210) Scattering : Multiple scattering
(290.5890) Scattering : Scattering, stimulated

ToC Category:

Original Manuscript: June 1, 2012
Revised Manuscript: September 18, 2012
Manuscript Accepted: September 21, 2012
Published: October 18, 2012

Virtual Issues
Vol. 7, Iss. 12 Virtual Journal for Biomedical Optics

Zuo Haoyi, Ma Qian, and Luo Shirong, "Discussion concerning ill-conditioned kernel matrices when retrieving particle size distributions based on scattered radiation distribution," J. Opt. Soc. Am. B 29, 3096-3102 (2012)

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  1. F. Xu, X. S. Cai, and M. X. Su, “Study of independent model algorithm for determination of particle size distribution,” Chin. J. Laser 31, 223–228 (2004).
  2. I. MacCallum, A. Cunningham, and D. McKee, “The measurement and modelling of light scattering by phytoplankton cells at narrow forward angles,” J. Opt. A: Pure Appl. Opt. 6, 698–702 (2004). [CrossRef]
  3. X. S. Cai and M. X. Su, Particle Sizing Technology and the Application (Chemical Industry, 2010).
  4. Y. F. Wang, “An efficient gradient method for maximum entropy regularizing retrieval of atmospheric aerosol particle size distribution function,” J. Aerosol Sci. 39, 305–322 (2008). [CrossRef]
  5. J. S. Olfert, P. Kulkarni, and J. Wang, “Measuring aerosol size distributions with the fast integrated mobility spectrometer,” J. Aerosol Sci. 39, 940–956 (2008). [CrossRef]
  6. D. Lesnic, L. Elliott, and D. B. Ingham, “An inversion method for the determination of the particle size distribution from diffusion battery measurements,” J. Aerosol Sci. 26, 797–812 (1995). [CrossRef]
  7. Y. F. Wang, S. F. Fan, and X. Feng, “Retrieval of the aerosol particle size distribution function by incorporating a priori information,” J. Aerosol Sci. 38, 885–901 (2007). [CrossRef]
  8. S. Lekhtmakher and M. Shapiro, “About randomness of aerosol size distributions,” J. Aerosol Sci. 36, 1459–1467 (2005). [CrossRef]
  9. X. S. Lu, Z. D. Feng, and J. M. Liu, Analysis Theory of Ill-Conditioned System with Application in Surveying (Publishing House of Surveying and Mapping, 2007).
  10. D. Watson, N. Hagen, J. Diver, P. Marchand, and M. Chachisvilis, “Elastic light scattering from single cells: orientational dynamics in optical trap,” Biophys. J. 87, 1298–1306 (2004). [CrossRef]
  11. H. Y. Zuo and J. G. Yang, “Retrieving of aerosol size distribution based on the measurement of aerosol optical depth,” Acta Phys. Sin-Ch. Ed. 56, 6132–6136 (2007).
  12. X. Q. He and W. Q. Liu, Application of the Regression Analysis (China Renmin, 2001).
  13. D. H. Kim, A. Abraham, and J. H. Cho, “A hybrid genetic algorithm and bacterial foraging approach for global optimization,” Inform. Sci. 177, 3918–3937 (2007).
  14. C. Emde, R. Buras, B. Mayer, and M. Blumthaler, “The impact of aerosols on polarized sky radiance: model development, validation, and applications,” Atmos. Chem. Phys. 10, 383–396 (2010). [CrossRef]

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