Vol. 31, issue 06, article # 9

Abstract:

A modified beam-splitting algorithm for solving the problem of light scattering on atmospheric concave ice crystals being typical for cirrus clouds is developed. It is based on the beam-splitting algorithm for convex crystals that was created at Institute of Atmospheric Optics SB RAS. The algorithm is used for the solution of the light scattering problem for hollow-column particles and hexagonal column aggregates. The algorithm is on open access with open source code.

Keywords:

algorithm, concave particles, aggregates, physical optics, geometrical optics, cirrus clouds

References:

1. Liou K.-N. An Introduction to Atmospheric Radiation. San Diego: Acad. Press, 2002. 583 p.
2. Kunz K.S., Luebbers R.J. Finite Difference Time Domain Method for Electromagnetics. Boca Raton: FL CRC Press, 1993. 448 p.
3. Taflove A. Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method. Boston: Artech House, 1998. 735 p.
4. Purcell E.M., Pennypacker C.R. Scattering and absorption of light by nonspherical dielectric grains // Astrophys. J. 1973. V. 186. P. 705–714.
5. Yurkin M.A., Maltsev V.P., Hoekstra A.G The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength // J. Quant. Spectrosc. Radiat. Transfer. 2007. V. 106. P. 546–557.
6. Yurkin M.A., Hoekstra A.G. The discrete-dipole-approximation code ADDA: Capabilities and known limitations // J. Quant. Spectrosc. Radiat. Transfer. 2011. V. 112. P. 2234–2247.
7. Yurkin M.A., Hoekstra A.G. User manual for the discrete dipole approximation code ADDA 1.3b4 [Electronic resources]. URL: http://a-dda.googlecode.com/ svn/tags/rel_1.3b4/doc/manual.pdf (last access: 27.07.2017).
8. Cai Q., Liou K.-N. Polarized light scattering by hexagonal ice crystals: Theory // Appl. Opt. 1982. V. 21. P. 3569–3580.
9. Volkovitskij O.A., Pavlova L.N., Petrushin A.G. Opticheskie svojstva kristallicheskikh oblakov. L.: Gidrometeoizdat, 1984. 198 p.
10. Macke A. Scattering of light by polyhedral ice crystals // Appl. Opt. 1993. V. 32. P. 2780–2788.
11. Romashov D.N. Matritsa obratnogo rasseyaniya dlya monodispersnykh ansamblej geksagonal'nykh ledyanykh kristallov // Optika atmosf. i okeana. 1999. V. 12, N 5. P. 392–400.
12. Borovoi A.G., Grishin I.A. Scattering matrices for large ice crystal particles // J. Opt. Soc. Am. A. 2003. V. 20. P. 2071–2080.
13. 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.
14. Konoshonkin A.V., Kustova N.V., Borovoi A.G. Beam-splitting code for light scattering by ice crystal particles within geometric-optics approximation // J. Quant. Spectrosc. Radiat. Transfer. 2015. V. 164. P. 175–183.
15. Konoshonkin A.V., Kustova N.V., Borovoj A.G. Algoritm trassirovki puchkov dlya zadachi rasseyaniya sveta na atmosfernykh ledyanykh kristallakh. Part 1. Teoreticheskie osnovy algoritma // Optika atmosf. i okeana. 2015. V. 28, N 4. P. 324–330; Konoshonkin A.V., Kustova N.V., Borovoi A.G. Beam splitting algorithm for the problem of light scattering by atmospheric ice crystals. Part 1. Theoretical foundations of the algorithm // Atmos. Ocean. Opt. 2015. V. 28, N 5. P. 441–447.
16. Konoshonkin A.V., Kustova N.V., Borovoj A.G. Algoritm trassirovki puchkov dlya zadachi rasseyaniya sveta na atmosfernykh ledyanykh kristallakh. Part 2. Sravnenie s algoritmom trassirovki luchej // Optika atmosf. i okeana. 2015. V. 28, N 4. P. 331–337; Konoshonkin A.V., Kustova N.V., Borovoi A.G. Beam splitting algorithm for the problem of light scattering by atmospheric ice crystals. Part 2. Comparison with the ray tracing algorithm // Atmos. Ocean. Opt. 2015. V. 28, N 5. P. 448–454.
17. Borovoi A., Konoshonkin A., Kustova N. Backscattering by hexagonal ice crystals of cirrus clouds // Opt. Lett. 2013. V. 38, N 15. P. 2881–1884.
18. Konoshonkin A.V., Kustova N.V., Borovoj A.G. Osobennosti v depolyarizatsionnom otnoshenii lidarnykh signalov dlya khaoticheski orientirovannykh ledyanykh kristallov peristykh oblakov // Optika atmosf. i okeana. 2013. Т. 26, № 5. С. 385–387.
19. Konoshonkin A., Wang Z., Borovoi A., Kustova N., Liu D., Xie C. Backscatter by azimuthally oriented ice crystals of cirrus clouds // Opt. Express. 2016. V. 24, N 18. P. A1257–A1268.
20. Konoshonkin A.V. Modelirovanie signala skaniruyushchego lidara ot monodispersnogo oblaka kvazigorizontal'no orientirovannykh chastits // Optika atmosf. i okeana. 2016. V. 29, N 12. P. 1053–1060.
21. Konoshonkin A.V. Opticheskie kharakteristiki deformirovannykh atmosfernykh ledyanykh stolbikov // Optika atmosf. i okeana. 2017. V. 30, N 7. P. 543–551; Konoshonkin A.V. Optical characteristics of irregular ice columns // Atmos. Ocean. Opt. 2017. V. 30, N 6. P. 508–516.
22. Baza dannykh matrits obratnogo rasseyaniya rasschitannykh v ramkakh fizicheskoj optiki [Elektronnyj resurs]. URL: ftp://ftp.iao.ru/pub/GWDT/Physical_ optics / Backscattering/ (data obrashcheniya: 30.01.2018).
23. Aleksandrov A.D., Verner A.L., Ryzhik V.I. Stereometriya. Geometriya v prostranstve. Visaginas: Alfa, 1998. 576 p.
24. Sutherland I., Hodgman G. Reentrant polygon clipping // Commun. ACM. 1974. V. 17. P. 32–42.
25. Hoare C. Quicksort // Comput. J. 1962. V. 5, N 1. P. 16–19.
26. Beam-Splitting-concave [Electronic resource]. URL: https://github.com/Heart-Under-Blade/Beam-Splitting- concave/ (last access: 30.01.2018).
27. Konoshonkin A.V., Kustova N.V., Borovoj A.G. Granitsa primenimosti priblizheniya geometricheskoj optiki dlya resheniya zadachi obratnogo rasseyaniya sveta na kvazigorizontal'no orientirovannykh geksagonal'nykh ledyanykh plastinkakh // Optika atmosf. i okeana. 2014. V. 27, N 8. P. 705–712; Konoshonkin A.V., Kustova N.V., Borovoi A.G. Limits to applicability of geometrical optics approximation to light backscattering by quasihorizontally oriented hexagonal ice plates // Atmos. Ocean. Opt. 2015. V. 28, N 1. P. 74–81.
28. Yang P., Bi L., Baum B.A., Liou K.N., Kattawar G.W., Mishchenko M.I., Cole B. Spectrally consistent scattering, absorption, and polarization properties of atmospheric ice crystals at wavelengths from 0.2 to 100 mm // J. Atmos. Sci. 2013. V. 70. P. 330–347.
29. Macke A., Mueller J., Raschke E. Single scattering properties of atmospheric ice crystal // J. Atmos. Sci. 1996. V. 53, N 19. P. 2813–2825.