Vol. 34, issue 08, article # 3

Abstract:

The paper presents the results of the study of the Umov effect for large compare to the wavelength of the incident radiation nonspherical particles. The calculation was carried out for particles with maximal sizes of 100, 140, 170 and 200 microns. The results were obtained for 210 different refractive indices, the real part of which varied from 1.3 to 1.6 with a step of 0.5, the imaginary part varied from 0 to 0.1344. It has been shown that the Umov effect is fulfilled for all the particles when the imaginary part of the refractive index is less than 0.001.

Keywords:

light scattering, absorption, Umov effect, physical optics, geometric optics, non-spherical particles

Figures:

References:

1. Provostaye F., Desains P. Mémoire sur la diffusion de la chaleur // Annal. Chim. Phys. 1852. V. 3, N 34. P. 192–225.
2. Umov N.A. Chromatische depolarisation durch lichtzerstreuung // Phis. Zeits. 1905. V. 6. P. 674–676.
3. Toporets A.S. Ob effekte Umova // ZhETF. 1950. V. 20, N 6. P. 390–394.
4. Wolff M. Theory and application of the polarization-albedo rules // Icarus. 1980. V. 44, N 3. P. 780–792. 
5. Shkuratov Yu.G., Opanasenko N.V., Kreslavsky M.A. Polarimetric and photometric properties of the Moon: Telescope observation and laboratory simulation. 1. The negative polarization // Icarus. 1992. V. 95, N 2. P. 283–299.
6. Mishchenko M.I., Liu L., Hovenier J.W. Effects of absorption on multiple scattering by random particulate media: Exact results // Opt. Express. 2007. V. 15, N 20. P. 13182–13187.
7. Zubko E., Videen G., Shkuratov Y., Muinonen K., Yamamoto T. The Umov effect for single irregularly shaped particles with sizes comparable with wavelength // Icarus. 2011. V. 212, N 1. P. 403–415. DOI: 10. 1016/j.icarus.2010.12.012.
8. Zubko E., Videen G., Zubko N., Shkuratov Y. Reflectance of micron-sized dust particles retrieved with the Umov law // J. Quant. Spectrosc. Radiat. Transfer. 2017. V. 190. P. 1–6. DOI: 10.1016/j.jqsrt.2017.01.003.
9. Lyot B. Recherches sur la polarisation de la lumière des planètes et de quelques substances terrestres. Orléans: H. Tessier, 1929. 161 p.
10. Kiselev N.N., Lupishko D.F., Chernova G.P., Shkuratov Yu.G. Polyarimetriya asteroida 1685 Toro // Kinematika i fizika nebesnyh tel. 1990. V. 6, N 2. P. 77–82.
11. Ishiguro M., Nakayama H., Kogachi M., Mukai T., Nakamura R., Hirata R., Okazak A. Maximum visible polarization of 4179 toutatis in the apparition of 1996 // Publ. Astron. Soc. Jpn. 1997. V. 49, N 5. P. L31–L34. DOI: 10.1093/pasj/49.5.L31.
12. Kiselev N.N., Rosenbush V.K., Jockers K., Velichko F.P., Shakhovskoj N.M., Efimov Yu.S., Lupishko D.F., Rumyantsev V.V. Polarimetry of near-Earth asteroid 33342 Synthetic phase angle dependence of polarization for the E-type asteroids The Netherlands, WT24 // Proc. Conf. Asteroids, Comets. 1998. P. 887–890.
13. Burnashov A.V., Konoshonkin A.V. Matritsa rasseyaniya sveta na usechennom plastinchatom drokstalle, orientirovannom preimushchestvenno v gorizontal'noj ploskosti // Optika atmosf. i okeana. 2012. V. 25, N 12. P. 1043–1050; Burnashov A.V., Konoshonkin A.V. Matrix of light scattering on a truncated plate-like droxtal preferably oriented in a horizontal plane // Atmos. Ocean. Opt. 2013. V. 26, N 3. P. 194–200.
14. van de Hyulst G. Rasseyanie sveta malymi chastitsami. M.: Inostrannaya literatura, 1961. 537 p.
15. Konoshonkin A.V., Kustova N.V., Borovoj A.G., Reichardt J. Vosstanovlenie doli orientirovannyh atmosfernyh kristallov po dannym ramanovskogo lidara i oblakomera // Optika atmosf. i okeana. 2017. V. 30, N 7. P. 552–557. DOI: 10.15372/AOO20170702.
16. Shishko V.A., Konoshonkin A.V., Kustova N.V., Borovoi A.G. Light scattering by large particles with the arbitrary shape within the geometrical optics approximation // Proc. SPIE. 2019. V. 11208. P. 1120867.
17. Konoshonkin A.V., Kustova N.V., Osipov V.A., Borovoj A.G., Masuda K., Ishimoto H., Okamoto H. Metod fizicheskoj optiki dlya resheniya zadachi rasseyaniya sveta na kristallicheskih ledyanyh chastitsah: sravnenie difraktsionnyh formul // Optika atmosf. i okeana. 2015. V. 28, N 9. P. 830–843. DOI: 10.15372/AOO20150909.
18. Borovoi A., Konoshonkin A., Kustova N. The physical-optics approximation and its application to light backscattering by hexagonal ice crystals // J. Quant. Spectrosc. Radiat. Transfer. 2014. V. 146. P. 181–189.
19. Shishko V., Konoshonkin A., Kustova N., Timofeev D., Borovoi A. Coherent and incoherent backscattering by a single large particle of irregular shape // Opt. Express. 2019. V. 27, N 23. P. 32984–32993.
20. Konoshonkin A.V., Kustova N.V., Shishko V.A., Borovoi A.G. Metodika resheniya zadachi rasseyaniya sveta na ledyanyh kristallah peristyh oblakov v napravlenii rasseyaniya nazad metodom fizicheskoj optiki dlya lidara s zenitnym skanirovaniem // Optika atmosf. i okeana. 2016. V. 29, N 1. P. 40–50; Konoshonkin A.V., Kustova N.V., Shishko V.A., Borovoi A.G. The technique for solving the problem of light backscattering by ice crystals of cirrus clouds by the physical optics method for a lidar with zenith scanning // Atmos. Ocean. Opt. 2016. V. 29, N 3. P. 252–262. DOI: 10.15372/AOO20160105.
21. Konoshonkin A.V., Kustova N.V., Borovoi A.G. Granitsa primenimosti priblizheniya geometricheskoj optiki dlya resheniya zadachi obratnogo rasseyaniya sveta na kvazigorizontal'no orientirovannyh geksagonal'nyh ledyanyh plastinkah // 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.
22. Popov A.A. O kogerentnom slozhenii rasseyannogo i difrakcionnogo polej v zadachah svetorasseyaniya na krupnyh kristallah // Dokl. AN SSSR. 1988. V. 303, N 3. P. 594–597.
23. Borovoi A.G., Grishin I.A. Scattering matrices for large ice crystal particles // J. Opt. Soc. Am. A. 2003. V. 20, N 11. P. 2071–2080.
24. Bi L., Yang P., Kattawar G.W., Hu Y, Baum B.A. Scattering and absorption of light by ice particles: Solution by a new physical-geometric optics hybrid method // J. Quant. Spectrosc. Radiat. Transfer. 2011. V. 112, N 9. P. 1492–1508.
25. 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.