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.13652966.2012.22024.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 scaleinvariant 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 lowl 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 highl regime above l ~ 4000 comprises a powerlaw ascent with exponential cutoff. The fine structure of the Gaussian, oscillatory, and highl 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
Title: 

Multipole fine structure of the cosmic microwave background: reconstruction of the temperature power spectrum 
Authors: 

Tomaschitz, Roman 
Affiliation: 

AA(Department of Physics, Hiroshima University, 131 Kagamiyama, HigashiHiroshima 7398526, Japan) 
Publication: 

Monthly Notices of the Royal Astronomical Society, Volume 427, Issue 2, pp. 13631383. (MNRAS Homepage) 
Publication Date: 

12/2012 
Origin: 


Astronomy Keywords: 

cosmic background radiation, cosmology: theory, CMB temperature autocorrelation, spherical Gaussian random field 
DOI: 


Bibliographic Code: 

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 powerlaw density, Kummer distribution, reconstruction of angular power spectra, inverse problem
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