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A scheme of soft-xray radiation is proposed. In the scheme, a moderatelyintense laser excites plasmons via the two-plasmon decay in a relativisticelectron beam. As the second laser encounters the electron beam in the oppositedirection, it emits soft x-rays via the backward Raman scattering. Our analysissuggests that the effective cross-section of this scattering is higher than theThomson scattering and that the conversion efficiency from the pump laser tothe soft x-ray could be very high in the optimal scenario. USing the plasmonpump with duration of 1-100 pico-second and the electron beam with density of10^18-10^19 per cc and energy of 1-20 MeV, soft x-ray of 5 nm to 300 nm withthe duration of 10 femto seconds to 1 pico-second can be emitted in thedirection of the electron beam. Advantages of the scheme of other schemes arediscussed.

Soft x-ray generation based on the two-plasmon decay and the backward Raman scattering in a moderately relativistic electron beam