Estimation of optical constants from multiple-scattered light using approximations for single particle scattering characteristics
Applied Optics, Vol. 46, Issue 35, pp. 8453-8460 (2007)
http://dx.doi.org/10.1364/AO.46.008453
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Abstract
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:
Scattering
History
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
Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-35-8453
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References
- 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]
- A. Ishimaru, Wave Propagation and Scattering in Random Media, IEEE/OUP Series on Electromagnetic Theory (IEEE, 1997), pp. xxv, 574.
- 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.
- C. Bohren and D. Huffman, "Rayleigh-Gans theory," in Absorption and Scattering by Small Particles (Wiley-VCH, 2004), pp. 158-165.
- I. G. Henyey and J. L. Greenstein, "Diffuse radiation in the galaxy," Astrophys. J. 85, 70-83 (1941). [CrossRef]
- D. Toublanc, "Henyey-Greenstein and Mie phase functions in Monte Carlo radiative transfer computations," Appl. Opt. 35, 3270-3274 (1996). [CrossRef] [PubMed]
- 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]
- M. Kerker, "Rayleigh-Debye scattering," in The Scattering of Light and Other Electromagnetic Radiation, M. L. Ernest, ed. (Academic, 1970), pp. 414-486.
- 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]
- J. H. Joseph and W. J. Wiscombe, "The delta-Eddington approximation for radiative flux transfer," J. Atmos. Sci. 33, 2452-2459 (1976). [CrossRef]
- K. N. Liou, "Approximations for radiative transfer," in An Introduction to Atmospheric Sciences (Academic, 2002), pp. 310-313.
- D. Segelstein, "The complex refractive index of water," M. S. thesis (University of Missouri, 1981).
- 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]
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