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Partial frequency redistribution of polarized radiation

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Abstract

Resonance polarization, which is created by the scattering of an anisotropic radiation field in regions of zero or weak magnetic fields, is strongly dependent on the frequency redistribution taking place during the scatterings. Here we discuss the frequency redistribution matrix relevant to resonance lines, concentrating on linear polarization. First we analyze in detail the redistribution matrix in a zero magnetic field given by the theory of Omont, Smith and Cooper (1972), revisited by Domke and Hubeny (1988). We explain that the linear polarization maxima which may appear in the wings of the Stokes Q profiles of strong resonances lines such as the Ca I 4227 Å line are coherent frequency redistribution effects. Various approximate forms of the frequency redistribution matrix are also examined. For resonance polarization in a weak magnetic field, we suggest a new expression for the redistribution matrix which can be used at all line frequencies, and is consistent with the condition that the Hanle effect acts only in the line core.

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References

  • Allen, C.W.: 1964, Astrophysical Quantities, University of London, The Athlone Press, London

    Google Scholar 

  • Ayres, T.R.: 1977, Astrophys. J. 213, 296

    Google Scholar 

  • Bommier, V.: 1996, Solar Physics (this volume)

  • Chandrasekhar, S.: 1950, Radiative Transfer, Oxford University Press, (Dover, New York, 1960)

    Google Scholar 

  • Domke, H., and Hubeny, I.: 1988, Astrophys. J. 334, 527

    Google Scholar 

  • Faurobert, M.: 1987, Astron. Astrophys. 178, 269

    Google Scholar 

  • Faurobert, M.: 1988, Astron. Astrophys. 194, 268

    Google Scholar 

  • Faurobert-Scholl, M.: 1991, Astron. Astrophys. 246, 469

    Google Scholar 

  • Faurobert-Scholl, M.: 1992, Astron. Astrophys. 258, 521

    Google Scholar 

  • Faurobert-Scholl, M.: 1994, Astron. Astrophys. 285, 655

    Google Scholar 

  • Faurobert-Scholl, M.: 1996, Solar Physics (this volume)

  • Faurobert-Scholl, M., Feautrier, N., Machefert, F., Petrovay, K., and Spielfiedel, A.: 1995, Astron. Astrophys. 298, 289

    Google Scholar 

  • Finn, G.D., 1967, Astrophys. J. 147, 1085

    Google Scholar 

  • Fontenla, J.M., Avrett, E.H., and Loeser, R.: 1993, Astrophys. J. 406, 319

    Google Scholar 

  • Frisch, H.: 1980, Astron. Astrophys. 83, 166

    Google Scholar 

  • Hamilton, D.R.: 1947, Astrophys. J. 105, 424

    Google Scholar 

  • Hummer, D.G.: 1962, Mon. Not. R. astr. Soc. 125, 21

    Google Scholar 

  • Landi degl'Innocenti, M., and Landi degl'Innocenti, E.: 1988, Astron. Astrophys. 192, 374

    Google Scholar 

  • Ivanov, V.V.: 1973, Transfer of Radiation in Spectral Lines, NBS Spec. Publ. 385, Washington Governement Printing Office

  • Jefferies, J.T.: 1968 Spectral Line Formation, Blaisdell Publishing Company, Waltham, Massachusetts

    Google Scholar 

  • Jefferies, J.T., and White, O.: 1960, Astrophys. J. 132, 767

    Google Scholar 

  • Kneer, F.: 1975, Astrophys. J. 200, 367

    Google Scholar 

  • Nagendra, K.N.: 1994, Astrophys. J. 432, 274

    Google Scholar 

  • Mihalas, D.: 1978, Stellar Atmospheres, Freeman and Company, San Francisco

    Google Scholar 

  • Omont, A., Smith, E.W., and Cooper, J: 1972, Astrophys. J. 175, 185

    Google Scholar 

  • Omont, A., Smith, E.W., and Cooper, J., 1973, Astrophys. J. 182, 283

    Google Scholar 

  • Redman, R.O.: 1941, Mon. Not. R. astr. Soc. 101, 266

    Google Scholar 

  • Rees, D., and Saliba, G.J.: 1982, Astron. Astrophys. 115, 1

    Google Scholar 

  • Spielfiedel A., Feautrier N., Chambaud G., and Lévy B.: 1991, J. Phys. B: At. Mol. Opt. Phys. 24, 4711

    Google Scholar 

  • Stenflo, J.: 1976, Astron. Astrophys. 46, 61

    Google Scholar 

  • Stenflo, J.: 1978, Astron. Astrophys. 66, 241

    Google Scholar 

  • Stenflo, J.: 1982, Solar Phys. 80, 209

    Google Scholar 

  • Stenflo, J.: 1994, Solar Magnetic Fields, Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  • Stenflo, J.: 1996, Solar Physics (this volume)

  • Stenflo, J., Baur, T.G. and Elmore D.F.: 1980, Astron. Astrophys. 84, 60

    Google Scholar 

  • Stenflo, J., and Stenholm, L.: Astron. Astrophys. 46, 69

  • Van de Hulst H.C.: 1980, Multiple Light Scattering, Tables, Formulas and Applications, Academic Press, New York

    Google Scholar 

  • Zanstra, H.: 1941a, Mon. Not. R. astr. Soc. 101, 250

    Google Scholar 

  • Zanstra, H.: 1941b, Mon. Not. R. astr. Soc. 101, 273

    Google Scholar 

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Frisch, H. Partial frequency redistribution of polarized radiation. Sol Phys 164, 49–66 (1996). https://doi.org/10.1007/BF00146622

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