Discrete source contributions to small-scale anisotropies of the microwave background

Mathematics – Probability

Scientific paper

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Microwave Emission, Radio Sources (Astronomy), Relic Radiation, Brightness Temperature, Hubble Constant, Probability Distribution Functions, Temperature Distribution, Very Large Array (Vla)

Scientific paper

The temperature fluctuations of the microwave background due to unresolved, randomly distributed sources have been computed for a wide interval of angular scales (from a few arcseconds to several tens of degrees) and for wavelengths ranging from several centimeters to below 1 mm. For wavelenghts greater than 6 cm, the present estimates follow almost directly from the observed radio source counts. By properly taking into account all of the available data, the uncertainties in the extrapolations have been reduced to smaller scales and higher frequencies. Only within a relatively narrow frequency range (from about 20 to 200 GHz) the contribution of discrete sources to the temperature fluctuations on scales of less that 1 deg is expected to be Delta T/T less than 0.00001. The effect of clustering that might strongly enhance fluctuations at least on some angular scales is noted. The most sensitive data on Delta T/T at 6 cm provide significant constraints on the correlation function of radio sources.

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