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Proceedings Paper

Optimum Undulator Trajectories
Author(s): Roman Tatchyn
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Paper Abstract

The undulator is a machine that induces amplitude fluctuations in normally-rectilinear electron trajectories, causing coherently-reinforced radiation to appear along the direction of electron motion. Presently, such machines operate on electrons travelling in straight sections of synchrotron rings. The inherently large number of variables characterizing the undulator-electron interaction makes it difficult to identify the principal parameters for c-)t-Lmization when designing synchrotron rings dedicated to undulator operation. In this paper we present the results of a variational analysis of the equation describing undulator radiation. In particular, our results identify the optimum electron trajec-tories in undulators, in the sense of maximizing the intensity of the emitted radiation in the forward direction, and establish the optimum amplitudes of the electron motion. These important results are presented in terms of the total electron velocity, 13c, and the average on-axis velocity 3*c. The results, besides providing a valuable insight into undulator operation, rigorously establish the principal optimization parameters for associated syn-chrontron ring design.

Paper Details

Date Published: 27 March 1984
PDF: 7 pages
Proc. SPIE 0447, Science with Soft X-Rays, (27 March 1984); doi: 10.1117/12.939173
Show Author Affiliations
Roman Tatchyn, Stanford University (United States)

Published in SPIE Proceedings Vol. 0447:
Science with Soft X-Rays
Roger W. Klaffky; F. J. Himpsel, Editor(s)

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