Physics – Accelerator Physics
Scientific paper
2001-09-18
J.Phys.G27:95-125,2001
Physics
Accelerator Physics
published in J. Phys. G: Nucl. Part. Phys. 27 (2001) 95-125, http://www.iop.org
Scientific paper
10.1088/0954-3899/27/1/307
We investigate, both analytically and numerically, the influence of the dechanneling process on the parameters of undulator radiation generated by ultra-relativistic positron channelling along a crystal plane, which is periodically bent. The bending might be due either to the propagation of a transverse acoustic wave through the crystal, or due to the static strain as it occurs in superlattices. In either case the periodically bent crystal serves as an undulator which allows to generate X-ray and gamma-radiation. We propose the scheme for accurate quantitative treatment of the radiation in presence of the dechanneling. The scheme includes (i) the analytic expression for spectral-angular distribution which contains, as a parameter, the dechanneling length, (ii) the simulation procedure of the dechanneling process of a positron in periodically bent crystals. Using these we calculate the dechanneling lengths of 5 GeV positrons channeling in Si, Ge and W crystals, and the spectral-angular and spectral distributions of the undulator over broad ranges of the photons. The calculations are performed for various parameters of the channel bending.
Greiner Walter
Korol Andrei V.
Solov'yov Andrey V.
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