Field correction for a one meter long permanent-magnet wiggler

Field errors in wigglers are usually measured and corrected on-axis only, thus ignoring field error gradients. We find that gradient scale lengths are of the same order as electron beam size and therefore can be important. We report measurements of wiggler field errors in three dimensions and expansion of these errors out to first order (including two dipole and two quadrupole components). Conventional techniques for correcting on-axis errors (order zero) create new off-axis (first order) errors. We present a new approach to correcting wiggler fields out to first order. By correcting quadrupole errors in addition to the usual dipole correction, we minimize growth in electron beam size. Correction to first order yields better overlap between the electron and optical beams and should improve laser gain. (Author) 2 refs., 5 figs