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The production of X-ray radiation with a high degree of circular polarizationconstitutes an important goal at XFEL facilities. A simple scheme to obtaincircular polarization control with crossed undulators has been proposed so far.In its simplest configuration the crossed undulators consist of pair of shortplanar undulators in crossed position separated by an electromagnetic phaseshifter. An advantage of this configuration is a fast helicity switching. Adrawback is that a high degree of circular polarization (over 90%) can only beachieved for lengths of the insertion devices significantly shorter than thegain length, i.e. at output power significantly lower than the saturation powerlevel. The obvious and technically possible extension considered in this paper,is to use a setup with two or more crossed undulators separated by phaseshifters. This cascade crossed undulator scheme is distinguished, inperformance, by a fast helicity switching, a high degree of circularpolarization (over 95%) and a high output power level, comparable with thesaturation power level in the baseline undulator at fundamental wavelength. Wepresent feasibility study and exemplifications for the LCLS baseline in thesoft X-ray regime.

Improvement of the crossed undulator design for effective circular polarization control in X-ray FELs