Tomaschitz, R. (2012). Multipole fine structure of the cosmic microwave background: reconstruction of the temperature power spectrum, Monthly Notices of the Royal Astronomical Society 427, 1363–1383, DOI: 10.1111/j.1365-2966.2012.22024.x
Abstract (WILEYonline, SAO/NASA ADS, Refdoc)
The fine structure of the temperature power spectrum of the cosmic microwave background (CMB) radiation is investigated in the presently accessible multipole range up to l ~ 10^4. The temperature fluctuations are reproduced by an isotropic Gaussian random field on the unit sphere, whose Green function is defined by a Hermitian matrix kernel inferred from the data sets by way of spectral fits. The reconstruction of the temperature autocorrelation function from the measured multipole moments is a classical inverse problem, which does not require to specify cosmic evolution equations for the photon density. The scale-invariant correlation function admits a multipole expansion in zonal spherical harmonics. The multipole coefficients are obtained as averages over Hermitian spectral matrices determining the angular power spectrum of the spherical random field. The low-l multipole regime of the CMB temperature fluctuations is composed of overlapping Gaussian peaks, followed by an intermediate oscillatory regime manifested by a modulated exponentially decaying slope. The high-l regime above l ~ 4000 comprises a power-law ascent with exponential cut-off. The fine structure of the Gaussian, oscillatory, and high-l regimes is reproduced by zooming into the respective l intervals on linear and logarithmic scales.
98.70.Vc Background radiations
98.80.Jk Mathematical and relativistic aspects of cosmology
05.40.-a Fluctuation phenomena, random processes
02.30.Zz Inverse problems
Keywords: cosmic background radiation; cosmology: theory
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Title: |
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Multipole fine structure of the cosmic microwave background: reconstruction of the temperature power spectrum |
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Authors: |
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Tomaschitz, Roman |
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Affiliation: |
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AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan) |
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Publication: |
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Monthly Notices of the Royal Astronomical Society, Volume 427, Issue 2, pp. 1363-1383. (MNRAS Homepage) |
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Publication Date: |
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12/2012 |
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Origin: |
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Astronomy Keywords: |
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cosmic background radiation, cosmology: theory, CMB temperature autocorrelation, spherical Gaussian random field |
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DOI: |
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Bibliographic Code: |
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description: Roman Tomaschitz (2012) Multipole fine structure of the cosmic microwave background: reconstruction of the temperature power spectrum, Mon. Not. R. Astron. Soc. 427, 1363.
Keywords: cosmic microwave background (CMB) radiation, CMB temperature autocorrelation, CMB multipole fine structure, temperature fluctuations, temperature anisotropy, spectral fits of CMB multipole moments, spherical Gaussian random field, spherical Green function, covariance matrix, cosmic variance, Hermitian spectral matrix, Gaussian power-law density, Kummer distribution, reconstruction of angular power spectra, inverse problem
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