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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 151–158

Sizing homogeneous spherical particles from intensity-only angular scatter

Wei Li and Jules S. Jaffe  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 151-158 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000151


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Abstract

A set of algorithms is proposed to retrieve the size of spherically symmetric particles from the measured intensity of angular scatter data. Of special interest are low-contrast particles whose real part of the index of refraction is between 1.03 and 1.09 and whose size k a is constrained so that π k a 16 π , where k = 2 π λ and a is particle radius. Several algorithms are evaluated and compared that are based on either simple matching to the Mie theory predictions or inverse tomography methods. In the tomography methods, a previously proposed algorithm [ Opt. Express. 15, 12217 (2007) ] was used after estimating the phase of the scattered data or adapted to use intensity-only data. In order to ensure stability, all algorithms’ performance was evaluated in the presence of moderate noise. The performance varied as a function of particle size, refractive index, and algorithm. Results suggest that a scattering device that collects only the angular scatter that is perpendicular to the polarization of incident light, usually denoted as S 1 , can be used to accurately estimate the size of homogeneous, low-contrast, spherical particles whose diameters are close to the wavelength of the incident light.

© 2010 Optical Society of America

OCIS Codes
(110.6960) Imaging systems : Tomography
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(290.3200) Scattering : Inverse scattering
(290.4020) Scattering : Mie theory

ToC Category:
Scattering

History
Original Manuscript: July 20, 2009
Revised Manuscript: November 13, 2009
Manuscript Accepted: November 16, 2009
Published: January 11, 2010

Virtual Issues
Vol. 5, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Wei Li and Jules S. Jaffe, "Sizing homogeneous spherical particles from intensity-only angular scatter," J. Opt. Soc. Am. A 27, 151-158 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-151


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References

  1. Y. Pan, K. Aptowicz, R. Chang, M. Hart, and J. Eversole, “Characterizing and monitoring respiratory aerosols by light scattering,” Opt. Lett. 28, 589-591 (2003). [CrossRef] [PubMed]
  2. H. Volten, J. F. de Haan, J. W. Hovenier, R. Schreurs, and W. Vassen, “Laboratory measurements of angular distributions of light scattered by phytoplankton and silt,” Limnol. Oceanogr. 43, 1180 (1998). [CrossRef]
  3. S. Oshchepkov and A. Sinyuk, “Optical sizing of ultrafine metallic particles. Retrieval of particle size distribution from spectral extinction measurements,” J. Colloid Interface Sci. 208, 137-146 (1998). [CrossRef] [PubMed]
  4. A. Jones, “Light scattering for particle characterization,” Prog. Energ. Combust. 25, 1-53 (1999). [CrossRef]
  5. M. Alexander and F. Hallett, “Small-angle light scattering: instrumental design and application to particle sizing,” Appl. Opt. 38, 4158-4163 (1999). [CrossRef]
  6. W. Wilson, “Light scattering as a diagnostic for protein crystal growth--A practical approach,” J. Struct. Biol. 142, 56-65 (2003). [CrossRef] [PubMed]
  7. K. Arrigo, “Marine microorganisms and global nutrient cycles,” Nature 437, 349-355 (2005). [CrossRef] [PubMed]
  8. B. Shao, J. S. Jaffe, M. Chachisvilis, and S. C. Esener, “Angular resolved light scattering for discriminating among marine picoplankton: modeling and experimental measurements,” Opt. Express 14, 12473-12484 (2006). [CrossRef] [PubMed]
  9. V. V. Berdnik and V. A. Loiko, “Particle sizing by multiangle light-scattering data using the high-order neural networks,” J. Quant. Spectrosoc. Ra diat. Transfer 100, 55-63 (2006). [CrossRef]
  10. K. Semyanov, P. Tarasov, A. Zharinov, A. Chernyshev, A. Hoekstra, and V. Maltsev, “Single-particle sizing from light scattering by spectral decomposition,” Appl. Opt. 43, 5110-5115 (2004). [CrossRef] [PubMed]
  11. J. Everitt and I. Ludlow, “Particle sizing using methods of discrete Legendre analysis,” Biochem. Soc. Trans. 19, 504-505 (1991). [PubMed]
  12. J. Jaffe, “A tomographic approach to inverse Mie particle characterization from scattered light,” Opt. Express 15, 12217 -12229 (2007). [CrossRef] [PubMed]
  13. R. M. Clare and R. G. Lane, “Phase retrieval from subdivision of the focal plane with a lenslet array,” Appl. Opt. 43, 4080-4087 (2004). [CrossRef] [PubMed]
  14. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (WILEY-VCH Verlag GmbH&Co., KGaA, Weinheim, 2004).
  15. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge Univ. Press, 1999). [PubMed]
  16. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758-2769 (1982). [CrossRef] [PubMed]
  17. W. S. Cleveland and S. J. Devlin, “Locally weighted regression: an approach to regression analysis by local fitting,” J. Am. Stat. Assoc. 83, 596-610 (1988). [CrossRef]
  18. The MathWorks Inc., “Local regression smoothing,” (1984-2009), http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/index.html?/access/helpdesk/help/toolbox/curvefit/bq_6yqb.html.
  19. C. Matzler, “Matlab codes for Mie scattering and absorption,” (2004), http://diogenes.iwt.uni-bremen.de/vt/laser/wriedt/Mie_Type_Codes/body_mie_type_codes.html.
  20. J. W. Goodman, Statistical Optics (Wiley, 2000).

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