First‐Year <i>Wilkinson Microwave Anisotropy Probe</i> ( <i>WMAP</i> ) Observations: The Angular Power Spectrum

G. Hinshaw, David N. Spergel, Licia Verde, Robert Hill, S. S. Meyer, C. Barnes, C. L. Bennett, M. Halpern, N. Jarosik, A. Kogut,

The Astrophysical Journal Supplement Series · 2003 · 815 citations · 31 references

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Abstract

We present the angular power spectrum derived from the first-year Wilkinson\nMicrowave Anisotropy Probe (WMAP) sky maps. We study a variety of power\nspectrum estimation methods and data combinations and demonstrate that the\nresults are robust. The data are modestly contaminated by diffuse Galactic\nforeground emission, but we show that a simple Galactic template model is\nsufficient to remove the signal. Point sources produce a modest contamination\nin the low frequency data. After masking ~700 known bright sources from the\nmaps, we estimate residual sources contribute ~3500 uK^2 at 41 GHz, and ~130\nuK^2 at 94 GHz, to the power spectrum l*(l+1)*C_l/(2*pi) at l=1000. Systematic\nerrors are negligible compared to the (modest) level of foreground emission.\nOur best estimate of the power spectrum is derived from 28 cross-power spectra\nof statistically independent channels. The final spectrum is essentially\nindependent of the noise properties of an individual radiometer. The resulting\nspectrum provides a definitive measurement of the CMB power spectrum, with\nuncertainties limited by cosmic variance, up to l~350. The spectrum clearly\nexhibits a first acoustic peak at l=220 and a second acoustic peak at l~540 and\nit provides strong support for adiabatic initial conditions. Kogut et al.\n(2003) analyze the C_l^TE power spectrum, and present evidence for a relatively\nhigh optical depth, and an early period of cosmic reionization. Among other\nthings, this implies that the temperature power spectrum has been suppressed by\n\\~30% on degree angular scales, due to secondary scattering.\n

References

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