Vol. 28, issue 04, article # 6

Konoshonkin A. V., Kustova N. V., Borovoy A. G. Beam splitting algorithm for light scattering by atmospheric ice crystals. Part 1. Theory. // Optika Atmosfery i Okeana. 2015. V. 28. No. 04. P. 324-330 [in Russian].
Copy the reference to clipboard

Abstract:

The article discusses the theoretical basis of the beam splitting algorithm for the problem of light scattering by atmospheric ice crystals in the geometrical optics approximation. The paper considers the solution of light scattering problem in terms of Jones and Muller matrices, which is the basis of the beam splitting algorithm. Special attention is paid to the interface of the software implementation of the algorithm. The developed algorithm is freely available as open source software.
 

Keywords:

geometrical optics, beam splitting algorithm, light scattering, ice crystals

References:

  1. Mishchenko M.I., Hovenier J.W., Travis L.D. Light Scattering by Nonspherical Particles: Theory, Measurements, and Geophysical Applications. San Diego: Academic Press, 1999. 690 p.
  2. Bi L., Yang P. Physical-geometric optics hybrid methods for computing the scattering and absorption properties of ice crystals and dust aerosols // Light Scattering Reviews 8 / Ed. by A.A. Kokhanovsky.  Chichester: Springer-Praxis, 2013. P. 69–114.
  3. van de Hulst H.C. Light scattering by small particles. N.Y.: Dover, 1981. 470 p.
  4. Takano Y., Liou K.N. Solar radiative transfer in cirrus clouds. Part I. Single scattering and optical properties of hexagonal ice crystals // J. Atmos. Sci. 1989. V. 46, N 1. P. 3–19.
  5. Bi L., Yang P., Liu C., Yi B., Baum B.A. Assessment of the accuracy of the conventional ray-tracing technique: Implications in remote sensing and radiative transfer involving ice clouds // J. Quant. Spectrosc. Radiat. Transfer. 2014. V. 146. P. 158–174.
  6. Borovoi A., Konoshonkin A., Kustova N. The physics-optics approximation and its application to light backscattering by hexagonal ice crystals // J. Quant. Spectrosc. Radiat. Transfer. 2014. V. 146. P. 181–189.
  7. Konoshonkin A.V., Kustova N.V., Borovoj A.G. Granica primenimosti priblizhenija geometricheskoj optiki dlja reshenija zadachi obratnogo rassejanija sveta na kvazigorizontal'no orientirovannyh geksagonal'nyh ledjanyh plastinkah // Optika atmosf. i okeana. 2014. V. 27, N 8. P. 705–712.
  8. Jacobowitz H. A method for computing the transfer of solar radiation through clouds of hexagonal ice crystals // J. Quant. Spectrosc. Radiat. Transfer. 1971. V. 11, N 6. P. 691–695.
  9. Wendling P., Wendling R., Weickmann H.K. Scattering of solar radiation by hexagonal ice crystals // Appl. Opt. 1979. V. 18, N 15. P. 2663–2671.
  10. Cai Q., Liou K.N. Polarized light scattering by hexagonal ice crystals: Theory // Appl. Opt. 1982. V. 21, N 19. P. 3569–3580.
  11. Hess M., Wiegner M. COP: A data library of optical properties of hexagonal ice crystals // Appl. Opt. 1994. V. 33, N 33. P. 7740–7746.
  12. Macke A., Mueller J., Raschke E. Single scattering properties of atmospheric ice crystal // J. Atmos. Sci. 1996. V. 53, N 19. P. 2813–2825.
  13. Muinonen K., Lamberg L., Fast P., Lumme K. Ray optics regime for Gaussian random spheres // J. Quant. Spectrosc. Radiat. Transfer. 1997. V. 57, N 2. P. 197–205.
  14. Borovoi A., Grishin I., Naats E., Oppel U. Light backscattering by hexagonal ice crystals // J. Quant. Spectrosc. Radiat. Transfer. 2002. V. 72, N 4. P. 403–417.
  15. Macke A. Scattering of light by polyhedral ice crystals // Appl. Opt. 1993. V. 32, N 15. P. 2780–2788.
  16. Flatau P.J., Draine B.T. Light scattering by hexagonal columns in the discrete dipole approximation // Opt. Exp. 2014. V. 22, N 18. P. 21834–21846.
  17. Neshyba S.P., Lowen B., Benning M., Lawson A., Rowe P.M. Roughness metrics of prismatic facets of ice // J. Geophys. Res. A. 2013. V. 118, N 8. P. 3309–3318.
  18. Yang P., Liou K.N. Geometric-optics-integral-equation method for light scattering by nonspherical ice crystals // Appl. Opt. 1996. V. 35, N 33. P. 6568–6584.
  19. Masuda K., Ishimoto H., Mano Y. Efficient method of computing a geometric optics integral for light scattering by nonspherical particles // Pap. Meteorol. Geophys. 2012. V. 63. P. 15–19.
  20. Popov A.A. Rassejanie jelektromagnitnoj ploskoj volny na poluprozrachnom vypuklom mnogogrannike proizvol'noj formy // Izv. vuzov. Fiz. Depon. № 8006. 1984. 56 p.
  21. Del Guasta M. Calcolo delle proprieta' ottiche dei cristalli di ghiaccio mediante il metodo del tracciamento dei raggi, Applicazione al LIDAR a retrodiffusione // Technol. Rep. TR/GCF/95.04. 1995. IROE CNR, Florence. 42 p.
  22. Romashov D.N. Rassejanie sveta geksagonal'nymi ledjanymi kristallami // Optika atmosf. i okeana. 2001. V. 14, N 2. P. 116–124.
  23. Borovoi A.G., Grishin I.A. Scattering matrices for large ice crystal particles // J. Opt. Soc. Amer. A. 2003. V. 20, N 11. P. 2071–2080.
  24. Алгоритм трассировки пучков. URL: https://github.com/sasha-tvo/Beam-Splitting
  25. Bohren C.F., Huffman D.R. Absorption and Scattering of Light by Small Particles. New York: Wiley, 1983. 530 p.
  26. Born M., Wolf E. Principles of Optics (4th ed.). Great Britain: Pergamon Press, 1970. 808 p.
  27. Laszlo M.J. Computational geometry and computer graphics in C++. Lebanon: Prentice-Hall, 1995. 266 p.