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We discuss the feasibility of a soft-x-ray distributed feedback laser (DFL)pumped by an x-ray free electron laser (X-FEL). The DFL under consideration isa Mg/SiC bi-layered Bragg reflector pumped by a single X-FEL bunch at 57.4 eV,stimulating the Mg L2,3 emission at 49 eV corresponding to the 3s-3d ->2p1/2,3/2 transition. Based on a model developed by Yariv and Yeh and anextended coupled-wave theory, we show that it would be possible to obtain athreshold gain compatible with the pumping provided by available X-FELfacilities.

Feasibility considerations of a soft-x-ray distributed feedback laser pumped by an x-ray free electron laser