Inference of relativistic electron spectra from measurements of inverse compton radiation |
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| Authors: | I J D Craig J C Brown |
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| Institution: | (1) Department of Astronomy, The University, Glasgow, Scotland;(2) Present address: Department of Mathematics, University of Waikato, Hamilton, New Zealand |
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| Abstract: | The inference of relativistic electron spectra from spectral measurement of inverse Compton radiation is discussed for the case where the background photon spectrum is a Planck function. The problem is formulated in terms of an integral transform that relates the measured spectrum to the unknown electron distribution. A general inversion formula is used to provide a quantitative assessment of the information content of the spectral data. It is shown that the observations must generally be augmented by additional information if anything other than a rudimentary two or three parameter model of the source function is to be derived. It is also pointed out that since a similar equation governs the continuum spectra emitted by a distribution of black-body radiators, the analysis is relevant to the problem of stellar population synthesis from galactic spectra. |
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