Analytic approach to the polarization of the cosmic microwave background in flat and open universes
We develop an analytic method and approximations to compute the polarization induced in the cosmic microwave background radiation on a wide range of angular scales by anisotropic Thomson scattering in the presence of adiabatic scalar (energy-density) linear fluctuations. The formalism is an extensio...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
1995
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| Sumario: | We develop an analytic method and approximations to compute the polarization induced in the cosmic microwave background radiation on a wide range of angular scales by anisotropic Thomson scattering in the presence of adiabatic scalar (energy-density) linear fluctuations. The formalism is an extension to the polarized case of the analytic approach recently developed by Hu and Sugiyama to evaluate the (unpolarized) temperature correlation function. The analytic approach helps to highlight the dependence of potentially measurable polarization properties of the cosmic microwave background radiation upon various parameters of the cosmological model. We show, for instance, that the ratio between the multipoles of the temperature and polarization correlation functions depends very sensitively upon the value of 0, the matter density in units of the critical, in an open universe. © 1995 The American Physical Society. |
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| Bibliografía: | Lubin, P.M., Smoot, G.F., (1983) Astrophys. J., 273, p. L1 Rees, M., Polarization and Spectrum of the Primeval Radiation in an Anisotropic Universe (1968) The Astrophysical Journal, 153, p. L1 Chandrasekar, S., (1950) Radiative Transfer, , Oxford University Press, Oxford, England Nanos, G.P., Polarization of the blackbody radiation at 3.2 centimeters (1979) The Astrophysical Journal, 232, p. 341 Basko, M., Polnarev, A., (1979) Sov. Astron., 24, p. 3 Negroponte, J., Silk, J., (1980) Phys. Rev. Lett., 44, p. 1433 Tolman, B.W., Matzner, R.A., (1984) Proc. R. Soc. London, 392 A, p. 1803 Tolman, B.W., The polarization of the microwave background in open universes (1985) The Astrophysical Journal, 290, p. 1 Bond, J.R., Efstathiou, G., Cosmic background radiation anisotropies in universes dominated by nonbaryonic dark matter (1984) The Astrophysical Journal, 285, p. L45 Milaneschi, E., Valdarnini, R., (1986) Astron. Astrophys., 162, p. 5 Bond, J.R., Efstathiou, G., The statistics of cosmic background radiation fluctuations (1987) Monthly Notices of the Royal Astronomical Society, 226, p. 655 Crittenden, R., Davis, R.L., Steinhardt, P.J., (1993) Astrophys. J., 417, p. L13 Harari, D. D, Zaldarriaga, M., (1993) Phys. Lett. B, 319, p. 96 Coulson, D., Crittenden, R.G., Turok, N.G., (1994) Phys. Rev. Lett., 73, p. 2390 Ng, Ng, (1995) Phys. Rev. D, 51, p. 364 Polnarev, A., (1985) Sov. Astron., 29, p. 607 Frewin, R.A., Polnarev, A.G., Coles, P., Gravitational waves and the polarization of the cosmic microwave background (1994) Monthly Notices of the Royal Astronomical Society, 266, p. L21 Ka Lok Ng and Kin Wang Ng, Astrophys. J. (to be published); Smoot, G.F., Structure in the COBE differential microwave radiometer first-year maps (1992) The Astrophysical Journal, 396, p. L1 Hu, W., Sugiyama, N., (1995) Phys. Rev. D, 51, p. 2599 Hu, W., Sugiyama, N., (1995) Astrophys. J., 444, p. 489 Vittorio, N., Silk, J., Fine-scale anisotropy of the cosmic microwave background in a universe dominated by cold dark matter (1984) The Astrophysical Journal, 285, p. L39 Bond, J.R., Crittenden, R., Davis, R.L., Efstathiou, G., Steinhardt, P.J., (1994) Phys. Rev. Lett., 72, p. 13 Seljak, U., (1994) Astrophys. J., 435, p. L87 Jorgensen, H.E., Kotok, E., Naselsky, P., Novikov, I., (1995) Astron. Astrophys., 294, p. 639 Sachs, R., Wolfe, A., Perturbations of a Cosmological Model and Angular Variations of the Microwave Background (1967) The Astrophysical Journal, 147, p. 73 Peebles, P.J.E., Yu, J.T., Primeval Adiabatic Perturbation in an Expanding Universe (1970) The Astrophysical Journal, 162, p. 815 Doroshkevich, A.G., Zel'dovich, Ya.B., Sunyaev, R.A., (1978) Sov. Astron., 22, p. 523 Bardeen, J., (1980) Phys. Rev. D, 22, p. 1882 Kodama, H., Sasaki, M., Cosmological Perturbation Theory (1984) Progress of Theoretical Physics Supplement, 78, p. 1 Mukhanov, V.F., Feldman, H.A., Brandenberger, R.H., (1992) Phys. Rep., 215, p. 203 Notice that our definition of Δ T and Δ P differs by a factor 4 from that of Ref. cite Bond87, while our definition for the polarization correlation function CP turns out to be identical; Notice that our multipole expansion differs from that in Ref. cite Hu94 by a factor (-i)l/(2l+1); Kodama, H., Sasaki, M., EVOLUTION OF ISOCURVATURE PERTURBATIONS I: PHOTON-BARYON UNIVERSE (1986) International Journal of Modern Physics A, 1, p. 265 Bond, J.R., (1988) The Early Universe, , edited by, W.G. Unruh, G.W. Semenoff, Reidel, Dordrecht Jones, B.T.J., Wyse, R.F.G., (1985) Astron. Astrophys., 149, p. 144 Nasel'skii, P.D., Polnarev, A.G., (1987) Astrophys. J., 26, p. 327 Peebles, P.J.E., (1980) The Large Scale Structure of the Universe, , Princeton University Press, Princeton, NJ Silk, J., Cosmic Black-Body Radiation and Galaxy Formation (1968) The Astrophysical Journal, 151, p. 459 Kaiser, N., Small-angle anisotropy of the microwave background radiation in the adiabatic theory (1983) Monthly Notices of the Royal Astronomical Society, 202, p. 1169 Notice that in order to compare our Figs. 1 and 2 with Figs. (4b) and (7a) of Ref. citeBond87 some adjustments are needed to account for different conventions and normalizations. Our W(k) corresponds to twice what is plotted in (4b). Our definition of the quadrupole anisotropy aT2 is 4 times that used in citeBond87. And finally the value of aT2 used is different; Kamionkowski, M., Spergel, D., (1994) Astrophys. J., 432, p. 7 |
| ISSN: | 05562821 |
| DOI: | 10.1103/PhysRevD.52.3276 |