Abstract
It is shown that the intensity and polarization of spectral lines formed with complete frequency redistribution in non-LTE conditions can be described by an integral equation for a source vector depending only on optical depth. The origin of the scalar integral equation for the non-polarized case is recalled and then it is shown show how a suitable decomposition of the phase matrix, which describes the redistribution in frequency, direction and polarization at each scattering, allows one to construct vector integral equations for resonance polarization and the Hanle effect. The correspondence between the phase matrix decomposition approach and the density matrix formalism is studied in detail.
Vector integral equations for polarized transfer, are known to be useful for analytical work, numerical work and phenomenological analyses. We give a general proof of the \( \sqrt \in \)-law for the surface value of the source function and apply it to resonance polarization and Hanle effect.
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References
Ariste Lopez, A. and Semel, M.: 1999, in K.N. Nagendra, J.O. Stenflo (eds.), Solar Polarization, Proc. 2nd SPW, Kluwer, Dordrecht, (in this Volume)
Avrett, E.H. and Hummer, D.G.: 1965, Mon. Not. R. astr. Soc. 130, 295
Bommier, V.: 1996, in J.O. Stenflo, K.N. Nagendra (eds.), Solar Polarization, Proc. 1st SPW, Kluwer, Dordrecht, p. 29 (also Solar Phys. 164, 29)
Bommier, V.: 1999, in K.N. Nagendra, J.O. Stenflo (eds.), Solar Polarization, Proc. 2nd SPW, Kluwer, Dordrecht, (in this Volume)
Bommier, V. and Landi Degl’Innocenti, E.: 1998, in Themis workshop on Radiative Transfer and Inversion Codes, Tenerife (Spain), 9–11 February 1998. C. Briand (ed), Publi. Obs. Paris, p. 17
Brink, D.M. and Satchler, G.R., 1968, Angular Momentum (Second Edition), Oxford University Press
Chandrasekhar S., 1950, Radiative Transfer, Oxford University Press (revised version Dover, New York, 1960)
Faurobert-Scholl, M.: 1991, Astron. Astrophys. 246, 469
Faurobert-Scholl, M., Frisch, H., and Nagendra, K.N.: 1997, Astron. Astrophys. 322, 896
Frisch, H.: 1980, Astron. Astrophys. 87, 357
Frisch, H.: 1998, Astron. Astrophys. 338, 683
Frisch, U. and Frisch, H.: 1975, Mon. Not. R. astr. Soc. 173, 167
Frisch, U. and Frisch, H.: 1994, in Lévy Flights and Related Topics in Physics, M.F. Shlesinger, G.M Zaslavsky, and U. Frisch, (eds), p. 262
Hubeny, I.: 1987, Astron. Astrophys. 185, 332
Ivanov, V.V.: 1969, Radiative Transfer and the Spectra of Celestial Bodies (in Russian), Nauka, Moscow Ivanov, V.V.: 1973, Transfer of Radiation in Spectral Lines(revised English edition of Ivanov, 1969), Natl. Bur. Stand. Spec. Publ. No 385, Washington
Ivanov, V.V.: 1985, Soviet Astron. 29, 162 (russian original Astron. Zh. 62, 283)
Ivanov, V.V.: 1990, Soviet Astron. 34, 621 (russian original Astron. Zh. 67, 1233)
Ivanov, V.V.: 1994, Astron. Astrophys. 286, 328
Ivanov, V.V.: 1995, Astron. Astrophys. 303, 609
Ivanov, V.V., Grachev, S.I., and Loskutov, V.M.: 1997, Astron. Astrophys. 321, 968
Landi Degl’Innocenti, E.: 1979, Man. Not. R. astr. Soc. 186, 369
Landi Degl’Innocenti, E.: 1983, Solar Phys. 85, 3
Landi Degl’Innocenti, E.: 1984, Solar Phys. 91, 1
Landi Degl’Innocenti, E., Bommier, V., and Sahal-Bréchot, S.: 1990, Astron. Astrophys. 235, 459
Landi Degl’Innocenti, E. and Bommier, V.: 1994, Astron. Astrophys. 284, 865
Landi Degl’Innocenti, M. and Landi Degl’Innocenti, E.: 1988, Astron. Astrophys. 192, 374
Mihalas, D.: 1978, Stellar Atmospheres, Freeman and Company, San Francisco
Nagendra, K.N., Frisch, H., and Faurobert-Scholl, M.: 1998, Astron. Astrophys. 332, 610
Olson G.L., Auer, L.H., and Buchler, J.R.: 1986, J. Q.S.R. T 35, 431
Paletou, F. and Auer, L.: 1995, Astron. Astrophys. 297, 771
Paletou, F. and Faurobert-Scholl, M.: 1997, Astron. Astrophys. 328, 343
Paletou, F., Faurobert-Scholl, M., and Bommier, V. : 1999, in K.N. Nagendra, J.O. Stenflo (eds.), Solar Polarization, Proc. 2nd SPW, Kluwer, Dordrecht, (in this Volume)
Rees, D.E.: 1978, Publ. Astr. Soc. Japan 30, 455
Rybicki, G.B.: 1977, Astrophys. J. 213, 165
Sekera, Z.: 1963, Rand Corporation Memo. R-413-PR
Stenflo, J.O. and Stenholm, L.: 1976, Astron. Astrophys. 46, 69
Stenflo, J.O. and Nagendra, K.N. (eds.): 1996, Solar Polarization, Proc. 1st SPW, Kluwer, Dordrecht, (also Solar Phys. 164)
Trujillo-Bueno, J.: 1998, in Themis workshop on Radiative Transfer and Inversion Codes, Tenerife (Spain), 9–11 February 1998. C. Briand (ed), Publ. Obs. Paris, p. 27
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Frisch, H. (1999). Resonance Polarization and Hanle Effect. In: Nagendra, K.N., Stenflo, J.O. (eds) Solar Polarization. Astrophysics and Space Science Library, vol 243. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9329-8_7
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DOI: https://doi.org/10.1007/978-94-015-9329-8_7
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