Abstract
We consider the radiative transfer in a nonconservative homogeneous plane-parallel semi-infinite planetary atmosphere where the scattering processes are described by the Rayleigh-Cabannes phase matrix and where the primary sources are in infinitely deep layers. If we use the superposition principle we derive the Cauchy problem for the source vector.
As a by-product the external field of radiation for the problem described is obtained using the principle of invariance by Chandrasekhar. The respective formulae for the radiation field in the deep layers and for the extrapolation distance are given. It is shown that the Rubenson degree of polarization even in the case of near-conservative atmospheres reaches the asymptotic regime at rather small values of the optical depth. Theλ-plane reliefs of the characteristic equation, extrapolation distance and the normalized components of the source vector at the boundary are given along with a sample of zeros of the characteristic equation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bond, G. R. and Siewert, C. E.: 1971,Astrophys. J. 164, 97.
Case, K. M., de Hoffman, F., and Placzek, G.: 1953,Introduction to the Theory of Neutron Diffusion, U.S. Government Printing Office, Washington.
Chandrasekhar, S.: 1960,Radiative Transfer, Dover Publ., Inc., New York.
De Rooij, W. A., Bosma, P. B., and van Hooff, J. P. C.: 1989,Astron. Astrophys. 226.
Domke, H.: 1971,Astron. Zh. 48, 341.
Domke, H.: 1972, ‘Transfer of Polarized Radiation’, Thesis.
Ivanov, V. V.: 1975,Astron. Zh. 52, 217.
Ivanov, V. V.: 1991 (priv. comm.).
Kriese, D. T. and Siewert, C. E.: 1971,Astrophys. J. 164, 389.
Pahor, S.: 1968,Nucl. Sci. Eng. 31, 110.
Penndorf, R.: 1957,J. Opt. Soc. Amer. 47, 176.
Schnatz, T. W. and Siewert, C. E.: 1970,J. Math. Phys. 11, 2733.
Schnatz, T. W. and Siewert, C. E.: 1971,Monthly Notices Roy. Astron. Soc. 152, 491.
Sobolev, V. V.: 1956,Perenos luchistoi energij v atmosferakh zvezd i planet, Gos. izd. tekhn. teor. lit, Moscow.
Sobolev, V. V.: 1968,Dokl. Akad. Nauk USSR 179, 41.
Sobolev, V. V.: 1972,Rasseyaniye sveta v atmosferakh planet, Nauka, Moscow.
van de Hulst, H. C.: 1968,Bull. Astron. Inst. Neth. 20, 77.
Viik, T.: 1989a,Tartu Teated 96, 3.
Viik, T.: 1989b,Earth, Moon, and Planets 46, 261.
Viik, T.: 1990a,Earth, Moon, and Planets 49, 149.
Viik, T.: 1990b,Earth, Moon, and Planets 49, 163.
Viik, T.: 1990c,Astrophys. Space Sci. 165, 343.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Viik, T. Source vector in Rayleigh-Cabannes scattering atmosphere: the nonconservative milne problem. Astrophys Space Sci 200, 129–143 (1993). https://doi.org/10.1007/BF00658116
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00658116