scholarly journals Formation of Neutral Points in the Polarization Characteristics of Secondary Radiation in the Semi-Infinite Medium Model

Author(s):  
M.M. Sobirov ◽  

This article studies the polarization characteristics of diffusely reflected backward radiation when illuminating a semiinfinite, light-scattering medium with unpolarized radiation. The formation of neutral Babine, Brewster and Arago polarization points in the angular polarization characteristics of the secondary radiation is shown. Comparison between the results of exact numerical calculations and approximate analytical formulas has been carried out and physical conditions for the appearance of neutral points depending on the angles of illumination and the multiplicity of scattering have been analyzed.

2006 ◽  
Vol 21 (2) ◽  
pp. 3-13
Author(s):  
Malin Wahlberg ◽  
Imre Pázsit

The purpose of this paper is to demonstrate the use of the invariant embedding method in a few model transport problems for which it is also possible to obtain an analytical solution. The use of the method is demonstrated in three different areas. The first is the calculation of the energy spectrum of sputtered particles from a scattering medium without absorption, where the multiplication (particle cascade) is generated by recoil production. Both constant and energy dependent cross-sections with a power law dependence were treated. The second application concerns the calculation of the path length distribution of reflected particles from a medium without multiplication. This is a relatively novel application, since the embedding equations do not resolve the depth variable. The third application concerns the demonstration that solutions in an infinite medium and in a half-space are interrelated through embedding-like integral equations, by the solution of which the flux reflected from a half-space can be reconstructed from solutions in an infinite medium or vice versa. In all cases, the invariant embedding method proved to be robust, fast, and monotonically converging to the exact solutions.


1988 ◽  
Vol 79 (5) ◽  
pp. 807-813
Author(s):  
Tadao Uchibayashi ◽  
Haruo Hisazumi ◽  
Toshiyasu Amano ◽  
Norio Miyoshi

1991 ◽  
Vol 69 (8-9) ◽  
pp. 1166-1174 ◽  
Author(s):  
Jacek W. Kaminski ◽  
John C. McConnell

In a planetary atmosphere the J value is determined by the angular-averaged radiance, or the average density of photons in an element of volume. The average density may be enhanced by multiple scattering of photons in a conservative, or near-conservative scattering atmosphere. We show that in a conservative semi-infinite medium this enhancement will be a factor of 5, for optical depths greater than about 20 for coherent scattering. We investigate the modification of the J values owing to multiple scattering in an optically thick medium of various optical depths, various single-scattering albedos of the scattering medium, and a range of surface albedos. We have applied the results to the calculation of J values in clouds in the terrestrial atmosphere and in the Rayleigh-scattering atmosphere of Uranus. We note that J values in a realistic atmosphere may be enhanced by as much as a factor of 5 throughout a large fraction of the atmosphere over those calculated without multiple scattering and surface reflection.


1978 ◽  
Vol 28 (3) ◽  
pp. 359-364 ◽  
Author(s):  
A. P. Ivanov ◽  
A. P. Chaikovskii ◽  
A. A. Kumeisha ◽  
V. N. Shcherbakov

2009 ◽  
Author(s):  
Oleg V. Angelsky ◽  
Peter P. Maksimyak ◽  
Alexander P. Maksimyak ◽  
Andrey L. Negrych

Author(s):  
Shoji MARUOKA ◽  
Kazuki UCHIDA ◽  
Yohei MITSUI ◽  
Shinpei OKAWA ◽  
Yoko HOSHI ◽  
...  

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