OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 24 — Aug. 20, 1999
  • pp: 5232–5240

Laboratory Measurements and T-Matrix Calculations of the Scattering Matrix of Rutile Particles in Water

Hester Volten, Juho-Pertti Jalava, Kari Lumme, Johan F. de Haan, Wim Vassen, and Joop W. Hovenier  »View Author Affiliations


Applied Optics, Vol. 38, Issue 24, pp. 5232-5240 (1999)
http://dx.doi.org/10.1364/AO.38.005232


View Full Text Article

Acrobat PDF (267 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present experimentally determined scattering matrix elements of birefringent rutile particles in water as a function of the scattering angle for a wavelength of 633 nm (in air). These elements are compared with the results of T-matrix calculations for prolate spheroids. For the diagonal matrix elements the results of the T-matrix calculations are in good agreement with those of the measurements. A good fit for the whole matrix, including the off-diagonal elements, is obtained when we compensate for the birefringence of the rutile particles by performing the computations for spheroids with a slightly larger length/width ratio than measured.

© 1999 Optical Society of America

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(290.0290) Scattering : Scattering

Citation
Hester Volten, Juho-Pertti Jalava, Kari Lumme, Johan F. de Haan, Wim Vassen, and Joop W. Hovenier, "Laboratory Measurements and T-Matrix Calculations of the Scattering Matrix of Rutile Particles in Water," Appl. Opt. 38, 5232-5240 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-24-5232


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. V.-M. Taavitsainen and J.-P. Jalava, “Soft and harder multivariate modeling in developing the properties of titanium dioxide pigments,” Chemom. Intell. Lab. Syst. 29, 307–319 (1995).
  2. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  3. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  4. J.-P. Jalava, “Precipitation and properties of TiO2 pigments in the sulfate process. 1. Preparation of the liquor and effects of iron(II) in isoviscous liquor,” Ind. Eng. Chem. Res. 31, 608–611 (1992).
  5. H. Schnablegger and O. Glatter, “Simultaneous determination of size distribution and refractive index of colloidal particles from static light-scattering experiments,” J. Colloid Interface Sci. 158, 228–242 (1993).
  6. H. Volten, J. F. De Haan, J. W. Hovenier, W. Vassen, R. Schreurs, A. Dekker, H. J. Hoogenboom, F. Charlton, and R. Wouts, “Laboratory measurements of angular distributions of light scattered by phytoplankton and silt,” Limnol. Oceanogr. 43, 1180–1197 (1998).
  7. M. I. Mishchenko, “Light scattering by size-shape distributions of randomly oriented axially symmetric particles of a size comparable to a wavelength,” Appl. Opt. 32, 4652–4666 (1993).
  8. J. W. Hovenier and C. V. M. van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
  9. J. W. Hovenier, H. C. van de Hulst, and C. V. M. van der Mee, “Conditions for the elements of the scattering matrix,” Astron. Astrophys. 157, 301–310 (1986).
  10. J. W. Hovenier and C. V. M. van der Mee, “Testing scattering matrices, a compendium of recipes,” J. Quant. Spectrosc. Radiat. Transfer 55, 649–661 (1996).
  11. M. W. Ribarsky, “Titanium dioxide (TiO2) (rutile),” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, New York, 1985), pp. 795–804.
  12. G. M. Hale, “Optical constants of water in the 200-nm to 200-μm wavelength region,” Appl. Opt. 12, 555–563 (1973).
  13. J.-P. Jalava, V.-M. Taavitsainen, L. Lamberg, and H. Haario, “Determination of particle and crystal size distribution from turbidity spectrum of TiO2 pigment by means of T-matrix,” J. Quant. Spectrosc. Radiat. Transfer 60, 399–409 (1998).
  14. J. W. Hovenier, “Measuring scattering matrices of small particles at optical wavelengths,” in Light Scattering by Nonspherical Particles, M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds. (Academic, San Diego, Calif., 1999), pp. 355–365.
  15. P. Stammes, “Light scattering properties of aerosols and the radiation inside a planetary atmosphere,” Ph.D. dissertation (Free University, Amsterdam, The Netherlands, 1989).
  16. F. Kuik, P. Stammes, and J. W. Hovenier, “Experimental determination of scattering matrices of water droplets and quartz particles,” Appl. Opt. 30, 4872–4881 (1991).
  17. F. Kuik, “Single scattering of light by ensembles of particles with various shapes,” Ph.D. dissertation (Free University, Amsterdam, The Netherlands, 1992).
  18. S. Sugihara, M. Kishino, and N. Okami, “Backscattering of light by particles suspended in water,” Phys. Chem. Res. 76, 1–8 (1982).
  19. E. S. Fry and K. J. Voss, “Measurements of the Mueller matrix for phytoplankton,” Limnol. Oceanogr. 30, 1322–1326 (1985).
  20. D. A. Cross and P. Latimer, “Angular dependence of scattering from Escherichia Coli cells,” Appl. Opt. 11, 1225–1228 (1972).
  21. M. I. Mishchenko, D. W. Mackowski, and L. D. Travis, “Scattering of light by bispheres with touching and separated components,” Appl. Opt. 34, 4589–4599 (1995).
  22. K. D. Lofftus, M. S. Quinby-Hunt, A. J. Hunt, F. Livolant, and M. Maestre, “Light scattering by Prorocentrum micans: a new method and results,” Appl. Opt. 31, 2924–2931 (1992).
  23. G. Mie, “Beiträge zur Optik trüber Medien speziell kolloidaler Metallösungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908).
  24. J. E. Hansen and L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev. 16, 527–610 (1974).
  25. D. Miller, M. S. Quinby-Hunt, and A. J. Hunt, “Laboratory studies of angle- and polarization-dependent light scattering in sea ice,” Appl. Opt. 36, 1278–1288 (1997).
  26. M. I. Mishchenko and D. W. Mackowski, “Electromagnetic scattering by randomly oriented bispheres: comparison of theory and experiment and benchmark calculations,” J. Quant. Spectrosc. Radiat. Transfer 55, 683–694 (1996).
  27. M. I. Mishchenko and L. D. Travis, “Capabilities and limitations of a current fortran implementation of the T-matrix method for randomly oriented, rotationally symmetric scatterers,” J. Quant. Spectrosc. Radiat. Transfer 60, 309–324 (1998).
  28. M. I. Mishchenko and L. D. Travis, “Light scattering by polydispersions of randomly oriented spheroids with sizes comparable to wavelengths of observation,” Appl. Opt. 33, 7206–7225 (1994).
  29. H. Haario and V.-M. Taavitsainen, Data Analysis Toolbox for use with Matlab (ProfMat Oy, Helsinki, Finland, 1997).
  30. E. M. Purcell and C. R. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 186, 705–714 (1973).
  31. B. T. Draine, “The discrete-dipole approximation and its application to interstellar graphite grains,” Astrophys. J. 333, 848–872 (1988).
  32. K. Lumme, J. Rahola, and J. W. Hovenier, “Light scattering by dense clusters of spheres,” Icarus 126, 455–469 (1997).

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