OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 35 — Dec. 10, 2007
  • pp: 8453–8460

Estimation of optical constants from multiple-scattered light using approximations for single particle scattering characteristics

Maria A. Velazco-Roa and Suresh N. Thennadil  »View Author Affiliations

Applied Optics, Vol. 46, Issue 35, pp. 8453-8460 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (843 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The inversion of multiple-scattered light measurements to extract the optical constant (complex refractive index) is computationally intensive. A significant portion of this time is due to the effort required for computing the single particle characteristics (absorption and scattering cross sections, anisotropy factor, and the phase function). We investigate approximations for computing these characteristics so as to significantly speed up the calculations without introducing large inaccuracies. Two suspensions of spherical particles viz., polystyrene and poly(methyl methacrylate) were used for this investigation. It was found that using the exact Mie theory to compute the absorption and scattering cross sections and the anisotropy factor with the phase function computed using the Henyey–Greenstein approximation yielded the best results. Analysis suggests that errors in the phase functions and thus in the estimated optical constants depend mainly on how closely the approximations match the Mie phase function at small scattering angles.

© 2007 Optical Society of America

OCIS Codes
(290.3030) Scattering : Index measurements
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(290.5820) Scattering : Scattering measurements
(290.5850) Scattering : Scattering, particles
(290.5825) Scattering : Scattering theory

ToC Category:

Original Manuscript: August 6, 2007
Revised Manuscript: October 23, 2007
Manuscript Accepted: October 26, 2007
Published: December 3, 2007

Virtual Issues
Vol. 3, Iss. 1 Virtual Journal for Biomedical Optics

Maria A. Velazco-Roa and Suresh N. Thennadil, "Estimation of optical constants from multiple-scattered light using approximations for single particle scattering characteristics," Appl. Opt. 46, 8453-8460 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. A. Velazco-Roa and S. N. Thennadil, "Estimation of complex refractive index of polydisperse particulate systems from multiple-scattered ultraviolet-visible-near-infrared measurements," Appl. Opt. 46, 3730-3735 (2007). [CrossRef] [PubMed]
  2. A. Ishimaru, Wave Propagation and Scattering in Random Media, IEEE/OUP Series on Electromagnetic Theory (IEEE, 1997), pp. xxv, 574.
  3. S. A. Prahl, "The adding-doubling method," in Optical Thermal Response of Laser Irradiated Tissue, A. J. Welch and M. J. C. van Gemert, eds. (Plenum, 1995), pp. 101-129.
  4. C. Bohren and D. Huffman, "Rayleigh-Gans theory," in Absorption and Scattering by Small Particles (Wiley-VCH, 2004), pp. 158-165.
  5. I. G. Henyey and J. L. Greenstein, "Diffuse radiation in the galaxy," Astrophys. J. 85, 70-83 (1941). [CrossRef]
  6. D. Toublanc, "Henyey-Greenstein and Mie phase functions in Monte Carlo radiative transfer computations," Appl. Opt. 35, 3270-3274 (1996). [CrossRef] [PubMed]
  7. W. M. Cornette and J. G. Shanks, "Physically reasonable analytic expression for the single-scattering phase function," Appl. Opt. 31, 3152-3160 (1992). [CrossRef] [PubMed]
  8. M. Kerker, "Rayleigh-Debye scattering," in The Scattering of Light and Other Electromagnetic Radiation, M. L. Ernest, ed. (Academic, 1970), pp. 414-486.
  9. W. J. Wiscombe, "The delta-M method: rapid yet accurate radiative flux calculations for strongly asymmetric phase functions," J. Atmos. Sci. 34, 1408-1422 (1977). [CrossRef]
  10. J. H. Joseph and W. J. Wiscombe, "The delta-Eddington approximation for radiative flux transfer," J. Atmos. Sci. 33, 2452-2459 (1976). [CrossRef]
  11. K. N. Liou, "Approximations for radiative transfer," in An Introduction to Atmospheric Sciences (Academic, 2002), pp. 310-313.
  12. D. Segelstein, "The complex refractive index of water," M. S. thesis (University of Missouri, 1981).
  13. N. G. Sultanova, I. D. Nikolov, and C. D. Ivanov, "Measuring the refractometric characteristics of optical plastics," Opt. Quantum Electron. 35, 21-24 (2003). [CrossRef]

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