Distortions of the microwave background radiation spectrum in the submillimeter wavelength region

Computer Science – Numerical Analysis

Scientific paper

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Background Radiation, Brightness Temperature, Compton Effect, Microwave Spectra, Submillimeter Waves, Astronomical Models, Microwave Scattering, Numerical Analysis, Perturbation Theory, Radio Astronomy

Scientific paper

Previous calculations of distortions of the microwave background spectrum are reviewed, and it is shown that the linear approximation of the Compton-distorted radiation spectrum fails seriously in the submillimeter range. The Zel'dovich, Illarionov, and Sunyaev (1972) approximation is shown to be a better analytical approximation in the limiting case when the matter temperature is much higher than the initial radiation temperature. This approximation is modified by setting the two temperatures at an equal value and is used to estimate the amplitude of the Compton effect. A chi-squared test is performed on possible combinations of the initial radiation temperature and amplitude of the Compton effect allowed by observed values of the present radiation temperatures in the microwave region.

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