Vol. 2, issue 04, article # 4

pdf Terzi V. F., Yakupova F. S., Kurt L. V. Quantitative theory of rainbows. // Atmospheric and oceanic optics. 1989. V. 2. No. 04. P. 293-296.
Copy the reference to clipboard

Exact calculations of two first elements of scattering phase matrix for a homogeneous water particle with the radius of 0,5 mm and for a polydisperse ensemble of spherical particles (Deirmendjian's cloud model C.6) using Mie theory formulas are made. The calculations were made for violet, dark-blue, light-blue, green, Yellow-green, orange, red and purple colours of visible radiation. Spectral distributions of scattering phase functions in the region of primary (the 136°-142° scattering angles) and secondary (124°-130°) rainbows are given.


1. V.E. Zuev, Propagation of Visible and Infrared Radiation in the Atmosphere (Sovetskoye radio, Moscow, 1970).
2. V.E. Zuev and G.M. Krekov, Optical Models of the Atmosphere (Gidrometeoizdat, Leningrad, 1986).
3. V.E. Zuev and G.M. Kabanov, Optics of Atmospheric Aerosol (Gidrometeoizdat, Leningrad, 1987).
4. D. Deirmendjian, Electromagnetic Scattering on Spherical Polydispersions, (Elsevier, New York, 1969).
5. Kh. Nussentsveig, Usp. Fiz. Nauk, 125, No. 3, 527 (1978).
6. V.P. Terzi, F.S. Yakupova, A.G. Konyukhov, et al., Optika Atmosfery, 1, No. 8, 51 (1988).
7. G.W. Kattawar and G.N. Plass, Appl. Opt., 6, No. 8, 1377 (1967).
8. W.I. Wiscombe, Appl. Opt., 19, No. 9, 1505 (1980).
9. S.D. Mobbs, J. Opt. Soc. Am., 69, No. 8, 1989 (1979).
10. H. Van de Hulst, Light Scattering by Small Particles, (Wiley, New York, 1957).
11. G.M. Krekov, S.I. Kavkyanov and M.M. Krekova, Interpretation of Signals of Optical Atmospheric Sounding Signals, (Nauka, Novosibirsk, 1987).
12. K.S. Shifrin and I.L. Zelmanovitch, Tables of Light Scattering (Gidrometeoizdat, Leningrad, 1968).