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All-sky analysis of polarization in the microwave background
Open accessAbstract
Using the formalism of spin-weighted functions we present an all-sky analysis of polarization in the cosmic microwave background (CMB). Linear polarization is a second-rank symmetric and traceless tensor, which can be decomposed on a sphere into spin $\ifmmode\pm\else\textpm\fi{}2$ spherical harmonics. These are the analogues of the spherical harmonics used in the temperature maps and obey the same completeness and orthogonality relations. We show that there exist two linear combinations of spin $\ifmmode\pm\else\textpm\fi{}2$ multipole moments which have opposite parities and can be used to fully characterize the statistical properties of polarization in the CMB. Magnetic-type parity combination does not receive contributions from scalar modes and does not cross correlate with either temperature or electric-type parity combination, so there are four different power spectra that fully characterize statistical properties of CMB. We present their explicit expressions for scalar and tensor modes in the form of line of sight integral solution and numerically evaluate them for a representative set of models. These general solutions differ from the expressions obtained previously in the small scale limit both for scalar and tensor modes. A method to generate and analyze all-sky maps of temperature and polarization is given and the optimal estimators for various power spectra and their corresponding variances are discussed.
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Cited by
SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE(WMAP) OBSERVATIONS: COSMOLOGICAL INTERPRETATION
Komatsu, E., Smith, K. M., Dunkley, J., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Nolta, M. R., Page, L., et al. (2011) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/192/2/18 · Cited by 8,802
FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION
Komatsu, E., Dunkley, J., Nolta, M. R., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/330 · Cited by 5,786
Dunkley, J., Komatsu, E., Nolta, M. R., Spergel, D. N., Larson, D., Hinshaw, G., Page, L., Bennett, C. L., Gold, B., Jarosik, N., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/306 · Cited by 1,787
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Planck Collaboration, Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., et al. (2020) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201936386 · Cited by 1,197
Kogut, A., Spergel, D. N., Barnes, C., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Limon, M., Meyer, S. S., Page, L., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377219 · Cited by 938
Cosmic Microwave Background Anisotropies
Hu, W., & Dodelson, S. (2002) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.40.060401.093926 · Cited by 745
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Zaldarriaga, M., & Seljak, U. (1999) · Physical Review D · doi:10.1103/physrevd.59.123507 · Cited by 196
Self-citationA critical review of inflation
Turok, N. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/13/305 · Cited by 58
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Metadata
- Authors
- Zaldarriaga, M., & Seljak, U.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1997-02-15
- Volume
- 55
- Issue
- 4
- Pages
- 1830-1840
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2118413445
- Cited by
- 1,145
- References
- 0
- FWCI
- 19.41
- Type
- journal article
- Language
- en
- Open access
- green
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