OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 33 — Nov. 20, 1996
  • pp: 6568–6584

Geometric-optics–integral-equation method for light scattering by nonspherical ice crystals

Ping Yang and K. N. Liou  »View Author Affiliations


Applied Optics, Vol. 35, Issue 33, pp. 6568-6584 (1996)
http://dx.doi.org/10.1364/AO.35.006568


View Full Text Article

Enhanced HTML    Acrobat PDF (596 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new geometric-optics model has been developed for the calculation of the single-scattering and polarization properties for arbitrarily oriented hexagonal ice crystals. The model uses the ray-tracing technique to solve the near field on the ice crystal surface, which is then transformed to the far field on the basis of the electromagnetic equivalence theorem. From comparisons with the results computed by the finite-difference time domain method, we show that the novel geometric-optics method can be applied to the computation of the extinction cross section and single-scattering albedo for ice crystals with size parameters along the minimum dimension as small as ~6. Overall agreement has also been obtained for the phase function when size parameters along the minimum dimension are larger than ~20. We demonstrate that the present model converges to the conventional ray-tracing method for large size parameters and produces single-scattering results close to those computed by the finite-difference time domain method for size parameters along the minimum dimension smaller than ~20. The present geometric-optics method can therefore bridge the gap between the conventional ray-tracing and the exact numerical methods that are applicable to large and small size parameters, respectively.

© 1996 Optical Society of America

History
Original Manuscript: November 2, 1995
Revised Manuscript: April 24, 1996
Published: November 20, 1996

Citation
Ping Yang and K. N. Liou, "Geometric-optics–integral-equation method for light scattering by nonspherical ice crystals," Appl. Opt. 35, 6568-6584 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-33-6568


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. J. Heymsfield, “Cirrus uncinus generating cells and the evolution of cirriform clouds. Part I: Aircraft observations of the growth of the ice phase,” J. Atmos. Sci. 32, 799–808 (1975). [CrossRef]
  2. A. J. Heymsfield, K. M. Miller, J. D. Sphinhirne, “The 27–28 October 1986 FIRE IFO cirrus case study: cloud microstructure,” Mon. Weather Rev. 118, 2313–2328 (1990). [CrossRef]
  3. L. M. Miloshevich, A. J. Heymsfied, P. M. Norris, “Microphysical measurements in cirrus clouds from ice crystals replicator sonders launched during FIRE II,” in Proceedings of the 11th International Conference on Clouds and Precipitation (17–21 August 1992), Vol. 1, pp. 525–528.
  4. A. Taflove, Computational Electrodynamics: The Finite-Difference Time Domain Method (Artech, Boston, 1995).
  5. P. Yang, K. N. Liou, “Light scattering by hexagonal ice crystals: comparison of finite-difference time domain and geometric optics models,” J. Opt. Soc. Am. A 12, 162–176 (1995). [CrossRef]
  6. P. Yang, K. N. Liou, “Finite-difference time domain method for light scattering by small ice crystals in three-dimensional space,” J. Opt. Soc. Am. A 13, 2072–2085 (1996). [CrossRef]
  7. E. M. Purcell, C. P. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 186, 705–714 (1973). [CrossRef]
  8. B. T. Draine, P. J. Flatau, “Discrete-dipole approximation for calculations,” J. Opt. Soc. Am. A 11, 1491–1499 (1994). [CrossRef]
  9. K. N. Liou, Y. Takano, “Light scattering by nonspherical particles: remote sensing and climatic implications,” Atmos. Res. 31, 271–298 (1994). [CrossRef]
  10. Q. Cai, K. N. Liou, “Polarized light scattering by hexagonal ice crystals: theory,” Appl. Opt. 21, 3569–3580 (1982). [CrossRef] [PubMed]
  11. Y. Takano, K. N. Liou, “Solar radiation transfer in cirrus clouds. Part I: Single-scattering and optical properties of hexagonal ice crystals,” J. Atmos. Sci. 46, 3–19 (1989). [CrossRef]
  12. Y. Takano, K. N. Liou, “Radiative transfer in cirrus clouds. Part III: Light scattering by irregular ice crystals,” J. Atmos. Sci. 52, 818–837 (1995). [CrossRef]
  13. K. Muinonen, “Scattering of light by crystals: a modified Kirchhoff approximation,” Appl. Opt. 28, 3044–3050 (1989). [CrossRef] [PubMed]
  14. A. Macke, “Scattering of light by polyhedral ice crystals,” Appl. Opt. 32, 2780–2788 (1993). [CrossRef] [PubMed]
  15. S. A. Schelkunoff, Electromagnetic Waves (Van Nostrand, New York, 1943).
  16. B. Karczewski, E. Wolf, “Comparison of three theories of electromagnetic diffraction at an aperture. Part I: Coherence matrices,” J. Opt. Soc. Am. 56, 1207–1214 (1966). [CrossRef]
  17. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  18. J. I. Hage, J. M. Greenberg, R. T. Wang, “Scattering from arbitrarily shaped particles: theory and experiment,” Appl. Opt. 30, 1141–1152 (1991). [CrossRef] [PubMed]
  19. C. T. Tai, Dyadic Green’s Function in Electromagnetic Theory (International Textbook, Scranton, 1971), Chap. 4, pp. 48–49.
  20. E. Wolf, “A generalized extinction theorem and its role in scattering theory,” in Coherence and Quantum Optics, L. Mandel, E. Wolf, eds. (Plenum, New York, 1973), pp. 339–359. [CrossRef]
  21. C. W. Oseen, “Uber die Wechselwirkung zwischen zwei elektrichen Dipolen und uber die Drenhung der Polarisationsebene in Kristallen und Flussigkeiten,” Ann. Phys. 48, 1–15 (1915). [CrossRef]
  22. K. N. Liou, J. E. Hansen, “Intensity and polarization for single scattering by polydisperse spheres: a comparison of ray optics and Mie theory,” J. Atmos. Sci. 28, 995–1004 (1971). [CrossRef]
  23. Y. Takano, M. Tanaka, “Phase matrix and cross sections for single scattering by circular cylinders: a comparison of ray optics and wave theory,” Appl. Opt. 19, 2781–2793 (1980). [CrossRef] [PubMed]
  24. A. Macke, M. I. Mishchenko, K. Muinonen, B. E. Carlson, “Scattering of light by large nonspherical particles: ray-tracing approximation versus T-matrix method,” Opt. Lett. 20, 1934–1936 (1995). [CrossRef] [PubMed]
  25. J. A. Lock, “Ray scattering by an arbitrarily oriented spheroid. I. Diffraction and specular reflection,” Appl. Opt. 35, 500–514 (1996); “II. Transmission and cross-polarization effects,” Appl. Opt. 35, 515–531 (1996). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited