Solution of the radiative transfer equation in the separable approximation

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 94, Issue 3-4, 2005, Pages 291-309

  Efimov, G V ^a   Kryzhevoi, Nikolai V ^b   von Waldenfels, W ^b   Wehrse, R ^b  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^b UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

Methods; Plane parallel geometry; Radiative transfer; Scattering

Indexed keywords

ABERRATIONS; ISOTOPES; PROBLEM SOLVING; TRANSFER FUNCTIONS;

MEROMORPHIC FUNCTIONS; PLANE-PARALLEL MEDIA; RADIATIVE TRANSFER EQUATION;

RADIOTHERAPY;

LIGHT SCATTERING; OPTICAL DEPTH; RADIATIVE TRANSFER;

EID: 14944377271     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2004.09.013     Document Type: Article

References (23)

1. J. Oxenius Kinetic theory of particles and photons 1986 Springer Berlin
2. S.K. Mayo D.T. Wickramasinghe J.A.J. Whelan Theory and observations of the optical continuum and line spectra of accretion discs around white dwarfs MNRAS 193 1980 793-824
3. G. Shaviv R. Wehrse Continuous energy distributions of accretion discs A&A 251 1991 117-132
4. W. El-Khoury D.T. Wickramasinghe Accretion disc models for AM Canum Venaticorum systems A&A 358 2000 154-68
5. M.R. Nasser J.E. Solheim D.A. Semionoff NLTE accretion disc models for the AM Canum Venaticorum systems A&A 373 2001 222-35
6. F. Malbet R. Lachaume J.L. Monin The vertical structure of T Tauri accretion disks. II. Physical conditions in the disk A&A 379 2001 515-28
7. C.P. Dullemond G.J. van Zadelhoff A. Natta Vertical structure models of T Tauri and Herbig Ae/Be disks A&A 389 2002 464-74
8. S. Chandrasekhar Radiative transfer 1950 Dover Publication Inc. New York
9. D. Mihalas Stellar atmospheres second ed 1978 Freeman San Francisco
10. W. Kalkofen Methods in radiative transfer 1984 Cambridge University Press Cambridge
11. C.J. Cannon The transfer of spectral line radiation 1985 Cambridge University Press Cambridge
12. W. Kalkofen Numerical radiative transfer 1987 Cambridge University Press Cambridge
13. L. Chevallier F. Paletou B. Rutily On the accuracy of the ALI method for solving the radiative transfer equation A&A 411 2003 221-7
14. M. Baes H. Dejonghe Radiative transfer in disc galaxies - I. A comparison of four methods to solve the transfer equation in plane-parallel geometry MNRAS 326 2001 722-32
15. J. Caldwell A.J. Perks Chandrasekhar's X-functions and Y-functions ApJ 249 1981 258-62
16. W.L. Dunn D.M. Garcia C.E. Siewert Concise and accurate solutions for Chandrasekhar's X and Y functions ApJ 260 1982 849-54
17. P.B. Bosma W.A. de Rooij Efficient methods to calculate Chandrasekhar's H-functions A&A 126 1983 283-92
18. M.H. Haggag H.M. Machali The Chandrasekhar H-function for exponentially varying atmosphere Ap&SS 111 1985 189-95
19. M.H. Haggag H.M. Machali S. El-Labany M.T. Attia Chandrasekhar's X- and Y-functions Ap&SS 149 1988 13-8
20. G.V. Efimov W. von Waldenfels R. Wehrse Analytical solution of the non-discretized radiative transfer equation for a slab of finite optical depth JQSRT 53 1995 59-74
21. G.V. Efimov W. von Waldenfels R. Wehrse Mathematical aspects of the plane-parallel transfer equation JQSRT 58 1997 355-73
22. S. Richling E. Meinköhn N. Kryzhevoi G. Kanschat Radiative transfer with finite elements. I. Basic method and tests A&A 380 2001 776-88
23. O. Perron Die Lehre von den Kettenbrüchen, B and II 1957 B. G. Teubner Verlagsgesellschaft Stuttgart