Abstract
By use of the orthogonality and normalization integrals developed by McCormick and Siewert (1970) a set of singular integral equations suitable forF n -method is derived for non-coherent spectral line formation problem in finite media.F n -equations for exit distributions are used to develop some algebraic equations with suitable recursion relations.
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Bednarz, R. J. and Mika, J. R.: 1963,J. Math. Phys. 4, 1285.
Busbridge, I. W.: 1953,Monthly Notices Roy. Astron. Soc. 113, 52.
Busbridge, I. W.: 1955,Monthly Notices Roy. Astron. Soc. 115, 661.
Heaslet, M. A. and Warming, R. F.: 1968,J. Quart. Spectr. Rad. Trans. 4, 1101.
Hummer, D. G.: 1968,Monthly Notices Roy. Astron. Soc. 138, 73.
Hummer, D. G. and Rybicki, G. B.: 1967, inMethods in Computational Physics, Vol. 7, Academic Press, New York, p. 53.
Ivanov, V. V.: 1962,Astron. Zh. 39, 1020 (Engl. transl.Soviet Astron. AJ 6, 793).
Ivanov, V. V.: 1963,Astron. Zh. 40, 257 (Engl. transl.Soviet Astron. AJ 7, 199).
Ivanov, V. V.: 1973,Transfer of Radiation in Spectral Lines, Nat. Bur. Stand. Washington, Special Publication No. 385.
McCormick, N. J. and Siewert, C. E.: 1970,Astrophys. J. 162, 633.
Siewert, C. E. and Benoist, P.: 1979,Nucl. Sci. Eng. 69, 156.
Siewert, C. E. and McCormick, N. J.: 1967,Astrophys. J. 149, 649.
Stewert, J. C., Kuscer, I., and McCormick, N. J.: 1966,Ann. Phys. (N.Y.) 40, 321.
Sobolev, V. V.: 1959,Astron. Zh. 36, 573 (Engl. transl.Soviet Astron. AJ 3, 563).
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Raymandal, R.C., Biswas, G. & Karanjai, S. Solution of non-coherent spectral line transfer problem for finite atmosphere by theF n -method. Astrophys Space Sci 146, 311–319 (1988). https://doi.org/10.1007/BF00637580
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DOI: https://doi.org/10.1007/BF00637580