OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 39, Iss. 36 — Dec. 20, 2000
  • pp: 6873–6887

Observations and calculations of light scattering from clusters of spheres

Stephen Holler, Jean-Claude Auger, Brian Stout, Yongle Pan, Jerold R. Bottiger, Richard K. Chang, and Gorden Videen  »View Author Affiliations

Applied Optics, Vol. 39, Issue 36, pp. 6873-6887 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (6955 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Two-dimensional angular optical scattering (TAOS) patterns from clusters of polystyrene latex spheres are measured in the near-forward and near-backward directions. In both cases, the scattering pattern contains a rich and complicated structure that is the result of the interaction and interference of light among the primary particles. Calculations are made for aggregates that are similar to those generated experimentally and also demonstrate the rich structure in the scattering pattern. A comparison of the experimental and theoretical TAOS patterns gives good qualitative agreement.

© 2000 Optical Society of America

OCIS Codes
(010.1110) Atmospheric and oceanic optics : Aerosols
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(290.5820) Scattering : Scattering measurements
(290.5850) Scattering : Scattering, particles

Original Manuscript: December 6, 1999
Revised Manuscript: July 19, 2000
Published: December 20, 2000

Stephen Holler, Jean-Claude Auger, Brian Stout, Yongle Pan, Jerold R. Bottiger, Richard K. Chang, and Gorden Videen, "Observations and calculations of light scattering from clusters of spheres," Appl. Opt. 39, 6873-6887 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. H. Zerull, B. Å S. Gustafson, K. Schulz, E. Thiele-Corbach, “Scattering by aggregates with and without an absorbing mantle: microwave analog experiments,” Appl. Opt. 32, 4088–4100 (1993). [PubMed]
  2. G. Videen, D. Ngo, M. B. Hart, “Light scattering from a pair of conducting, osculating spheres,” Opt. Commun. 125, 275–287 (1996). [CrossRef]
  3. S. Holler, Y.-L. Pan, R. K. Chang, J. R. Bottiger, S. C. Hill, D. B. Hillis, “Two-dimensional angular optical scattering for the characterization of airborne microparticles,” Opt. Lett. 23, 1489–1491 (1998). [CrossRef]
  4. K. A. Fuller, “Scattering and absorption cross sections of compounded spheres. I. Theory for external aggregation,” J. Opt. Soc. Am. A 11, 3251–3260 (1994). [CrossRef]
  5. D. W. Mackowski, M. I. Mishchenko, “Calculation of the T matrix and the scattering matrix for ensembles of spheres,” J. Opt. Soc. Am. A 13, 2266–2278 (1996). [CrossRef]
  6. D. Ngo, G. Videen, R. Dalling, “Chaotic light scattering from a system of osculating, conducting spheres,” Phys. Lett. A 227, 197–202 (1997). [CrossRef]
  7. G. Videen, W. Sun, Q. Fu, “Light scattering from irregular tetrahedral aggregates,” Opt. Commun. 156, 5–9 (1998). [CrossRef]
  8. D. R. Bowes, A. M. Langer, A. N. Rohl, “Nature and range of mineral dusts in the environment,” Philos. Trans. R. Soc. London Ser. A 286, 593–610 (1977). [CrossRef]
  9. E. Frejafon, J. Kasparian, P. Rambaldi, B. Vezin, V. Boutou, J. Yu, M. Ulbricht, D. Weidauer, B. Ottobrini, E. de Saeger, B. Krämer, T. Leisner, P. Rairoux, L. Wöste, J. P. Wolf, “Laser applications for atmospheric pollution monitoring,” Eur. J. Phys. D 4, 231–238 (1998).
  10. J. E. Hansen, L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev. 16, 527–610 (1974). [CrossRef]
  11. D. R. Huffman, “Interstellar grains. The interaction of light with a small particle system,” Adv. Phys. 26, 129–230 (1977). [CrossRef]
  12. C. M. Sorensen, J. Cai, N. Lu, “Light scattering measurements of monomer size, monomers per aggregate and fractal dimension for soot aggregates in flames,” Appl. Opt. 31, 6547–6557 (1992). [CrossRef] [PubMed]
  13. R. G. Pinnick, S. C. Hill, P. Nachman, G. Videen, G. Chen, R. K. Chang, “Aesosol fluorescence spectrum analyzer for measurement of single micronsized airborne biological particles,” Aerosol Sci. Technol. 28, 95–104 (1998). [CrossRef]
  14. P. L. Marston, E. H. Trinh, “Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops,” Science 312, 529–531 (1984).
  15. P. L. Marston, “Cusp diffraction catastrophe from spheroids: generalized rainbows and inverse scattering,” Opt. Lett. 10, 588–590 (1985). [CrossRef] [PubMed]
  16. J. P. Barton, “Light scattering calculations for irregularly shaped axisymmetric particles of homogeneous and layered compositions,” Meas. Sci. Technol. 9, 151–160 (1998). [CrossRef]
  17. J. P. Barton, “Electromagnetic field calculations for a sphere illuminated by a higher-order Gaussian beam. II. Far-field scattering,” Appl. Opt. 37, 3339–3344 (1998). [CrossRef]
  18. G. Mie, “Beitrage zur optik trüber medien speziell kolloidaler metallösungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908). [CrossRef]
  19. J. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  20. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  21. P. C. Waterman, “Symmetry, unitary, and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1970). [CrossRef]
  22. A.-K. Hamid, “Electromagnetic scattering by an arbitrary configuration of dielectric spheres,” Can. J. Phys. 68, 1419–1428 (1990). [CrossRef]
  23. Y.-L. Xu, “Electromagnetic scattering by an aggregate of spheres: far field,” Appl. Opt. 36, 9496–9508 (1997). [CrossRef]
  24. W. C. Chew, Waves and Field in Inhomogeneous Media, IEEE Press Series on Electromagnetic Waves (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1990).
  25. J. R. Bottiger, P. J. Deluca, E. W. Stuebing, D. R. VanReenen, “An ink jet aerosol generator,” J. Aerosol Sci. 29(Suppl. 1), 965–966 (1998).
  26. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).
  27. J.-C. Auger, Laboratoire d’Optiques des Solides, Unité Mixte de Recherche 7601, Université Pierre et Maríe Curie, Paris, France, and G. Videen, are preparing a manuscript to be called “Spatial light scattering and sphere clusters.”
  28. S. Stein, “Addition theorems for spherical wave function,” Q. Appl. Math. 19, 15–24 (1961).
  29. O. R. Cruzan, “Translation addition theorems for spherical vector wave functions,” Q. Appl. Math. 20, 33–40 (1962).
  30. B. Peterson, S. Ström, “T matrix for electromagnetic scattering from an arbitrary number of scatterers and representation of E(3),” Phys. Rev. D 8, 3661–3677 (1973). [CrossRef]
  31. W. J. Wiscombe, “Improve Mie scattering algorithms,” Appl. Opt. 19, 1505–1509 (1980). [CrossRef] [PubMed]
  32. F. Borghese, P. Denti, R. Saija, G. Toscano, O. I. Sindoni, “Multiple electromagnetic scattering from a cluster of spheres. I. Theory,” Aerosol Sci. Technol. 3, 227–235 (1984). [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