OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 8 — Aug. 1, 2002
  • pp: 1583–1591

Light scattering by arbitrarily oriented rotationally symmetric particles

Nikolaos C. Skaropoulos and Herman W. J. Russchenberg  »View Author Affiliations

JOSA A, Vol. 19, Issue 8, pp. 1583-1591 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (191 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We use the T-matrix approach and the analytical orientation-averaging technique to formulate the problem of light scattering by an ensemble of rotationally symmetric particles in arbitrary orientation. The mathematical formulation yields analytical expressions for the elements of the ensemble-averaged scattering matrix that involve no more than four nested summations. An expansion into generalized spherical functions is used in the particular case where the scatterers are partially aligned along the direction of incidence. A computer code that implements the analytical expressions derived is publicly available on the World Wide Web at http://irctr.et.tudelft.nl/~Skaropoulos/T-matrix.htm.

© 2002 Optical Society of America

OCIS Codes
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(280.1310) Remote sensing and sensors : Atmospheric scattering
(290.1310) Scattering : Atmospheric scattering
(290.5850) Scattering : Scattering, particles

Original Manuscript: November 26, 2001
Revised Manuscript: February 25, 2002
Manuscript Accepted: March 15, 2002
Published: August 1, 2002

Nikolaos C. Skaropoulos and Herman W. J. Russchenberg, "Light scattering by arbitrarily oriented rotationally symmetric particles," J. Opt. Soc. Am. A 19, 1583-1591 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Mishchenko, “Light scattering by randomly oriented axially symmetric particles,” J. Opt. Soc. Am. A 8, 871–882 (1991).[errata: 9, 497 (1992)]. [CrossRef]
  2. M. Mishchenko, L. Travis, D. Mackowski, “T-matrix computations of light scattering by nonspherical particles: a review,” J. Quant. Spectrosc. Radiat. Transf. 55, 535–575 (1996). [CrossRef]
  3. M. Mishchenko, J. Hovenier, L. Travis, Light Scattering by Nonspherical Particles (Academic, San Diego, Calif., 2000).
  4. M. Mishchenko, L. Travis, “Capabilities and limitations of a current fortran implementation of the T-matrix method for randomly oriented, rotationally symmetric scatterers,” J. Quant. Spectrosc. Radiat. Transf. 60, 309–324 (1988). [CrossRef]
  5. M. Mishchenko, L. Travis, D. Mackowski, “T-matrix codes for computing electromagnetic scattering by nonspherical and aggregated particles,” http://www.giss.nasa.gov/~crmim/t_matrix.html .
  6. M. Mishchenko, “Extinction and polarization of transmitted light by partially aligned nonspherical grains,” Astrophys. J. 367, 561–574 (1991). [CrossRef]
  7. M. Mishchenko, “Coherent propagation of polarized millimeter waves through falling hydrometeors,” J. Electromagn. Waves Appl. 6, 1341–1351 (1992).
  8. L. Paramonov, “T-matrix approach and the angular momentum theory in light-scattering problems by ensembles of arbitrarily shaped particles,” J. Opt. Soc. Am. A 12, 2698–2707 (1995). [CrossRef]
  9. W. Wiscombe, A. Mugnai, “Single scattering from nonspherical Chebyshev particles: a compendium of calculations,” (NASA, Washington, D.C., 1986).
  10. P. Barber, S. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
  11. J. Vivekanandan, W. Adams, V. Bringi, “Rigorous approach to polarimetric radar modeling of hydrometeor orientation distributions,” J. Appl. Meteorol. 30, 1053–1063 (1991). [CrossRef]
  12. A. Battaglia, F. Prodi, O. Sturniolo, “Radar and scattering parameters through falling hydrometeors with axisymmetric shapes,” Appl. Opt. 40, 3092–3100 (2001). [CrossRef]
  13. H. Domke, “The expansion of scattering matrices for an isotropic medium in generalized spherical functions,” Astrophys. Space Sci. 29, 379–386 (1974). [CrossRef]
  14. J. Hovenier, C. van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
  15. N. Skaropoulos, “T-matrix codes for computing the scattering of electromagnetic waves by partially aligned particles,” http://irctr.et.tudelft.nl/~Skaropoulos/T-matrix.htm .
  16. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  17. C. Bohren, D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  18. J. Hovenier, C. van der Mee, “Scattering of polarized light: properties of the elements of the phase matrix,” Astron. Astrophys. 196, 287–295 (1988).
  19. I. Gelfand, R. Minlos, Z. Shapiro, Representations of the Rotation and Lorentz Groups and Their Applications (Pergamon, Oxford, UK, 1963).
  20. D. Varshalovich, A. Moskalev, V. Khersonksii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
  21. P. Waterman, “Matrix formulation of electromagnetic scattering,” Proc. IEEE 53, 805–812 (1965). [CrossRef]
  22. P. Waterman, “Symmetry, unitarity and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1971). [CrossRef]
  23. L. Tsang, J. Kong, R. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).
  24. P. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
  25. D. Wielaard, M. Mishchenko, A. Macke, B. Carlson, “Improved T-matrix computations for large, nonabsorbing, and weakly absorbing nonspherical particles and comparison with geometrical-optics approximation,” Appl. Opt. 36, 4305–4317 (1997). [CrossRef] [PubMed]

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.


Fig. 1

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited