Random errors in undulators and their effects on the radiation spectrum.

This work explores the effects of random undulator field errors on the output radiation. An approximate theory of these effects is summarized, along with limiting conditions on its validity, resulting in 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.