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Three different approaches have been proposed so far for production of highlymonochromatic X-rays from a baseline XFEL undulator: (i) single-bunchself-seeding scheme with a four crystal monochromator in Bragg reflectiongeometry; (ii) double-bunch self-seeding scheme with a four-crystalmonochromator in Bragg reflection geometry; (iii) single-bunch self-seedingscheme with a wake monochromator. A unique element of the X-ray optical designof the last scheme is the monochromatization of X-rays using a single crystalin Bragg-transmission geometry. A great advantage of this method is that themonochromator introduces no path delay of X-rays. This fact eliminates the needfor a long electron beam bypass, or for the creation of two preciselyseparated, identical electron bunches, as required in the other twoself-seeding schemes. In its simplest configuration, the self-seeded XFELconsists of an input undulator and an output undulator separated by amonochromator. In some experimental situations this simplest two-undulatorconfiguration is not optimal. The obvious and technically possible extension isto use a setup with three or more undulators separated by monochromators. Thisamplification-monochromatization cascade scheme is distinguished, inperformance, by a small heat-loading of crystals and a high spectral purity ofthe output radiation. This paper describes such cascade self-seeding schemewith wake monochromators. We present feasibility study and exemplifications forthe SASE2 line of the European XFEL.

Cascade self-seeding scheme with wake monochromator for narrow-bandwidth X-ray FELs