In this contribution, the requirements on undulators for linac driven SASE
FELs will be discussed. Differences between long and short wavelength SASE
FELs will be worked out. The problematic influencing the choice of minimum
gap and undulator peak field which are special for SASE FELs driven by mult
i GeV electron beams with sub picosecond pulses, peak currents of several k
iloamperes will be pointed out. Special attention is given to the magnetic
design of combined strong focusing undulators as are needed fur VUV FELs. A
s an example results will be presented of the undulator for the VUV-FEL at
the TESLA Test Facilty which has just been completed. (C) 2000 Elsevier Sci
ence B.V. All rights reserved.