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Random errors in undulators and their effects on the radiation spectrum

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Abstract

Undulators and wigglers are central components of free-electron lasers and proposed new high-brightness synchrotron radiation light sources. This paper explores the effects of random field errors on the performance of practical undulators. An approximate theory of these effects is derived, along with limiting conditions on its validity. The result of this work is a description of the loss of radiated intensity by two universal functions. The functions’ arguments are simple combinations of the basic undulator parameters. Simple numerical simulation methods are presented, and numerical results are compared with the predictions of the universal functions. Finally, possible solutions to the problem of random errors in undulators are discussed.

© 1985 Optical Society of America

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