Statistics – Computation
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...149..171c&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 149, no. 1, Aug. 1985, p. 171-178. SERC-supported research.
Statistics
Computation
5
Astronomical Spectroscopy, Computational Astrophysics, Crab Nebula, Image Processing, Relativistic Electron Beams, Synchrotron Radiation, Convolution Integrals, Inversions, Spectrum Analysis
Scientific paper
The photon spectrum from the Crab nebula is interpreted in terms of the synchrotron emission mechanism. It is emphasised that the inference of the relativistic electron spectrum in the source by inversion of the measured photon spectrum is a backward problem that is inherently unstable and which cannot be solved in any classical sense. The authors show however, by invoking a variety of classical and non-classical inversion techniques, that a plausible "minimum structure" solution can be determined from the raw data. The sensitivity of this solution to local data perturbations and to global changes in the form of the measured data function is then investigated in detail.
Brown John C.
Craig Donald I. Jr.
McClements K. G.
Thompson Maggie A.
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