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We present a scheme for amplifying an extreme-ultraviolet (XUV) seed isolatedattosecond pulse via stimulated Raman scattering of a pulse-train pump. Atsufficient seed and pump intensity, the amplification is nonlinear, and theamplitude of the seed pulse can reach that of the pump, one order of magnitudehigher than the initial seed amplitude. In the linear amplification regime, wefind that the spectral signature of the pump pulse train is imprinted on thespectrum of the amplified seed pulse. Since the spectral signature is imprintedwith its frequency downshifted by the plasma frequency, it is possible todeduce the electron density in the region of interaction. This region can be ofmicrometer length scale longitudinally. By varying the delay between the seedand the pump, this scheme provides a local electron-density measurement insidesolid-density plasmas that cannot be probed with optical frequencies, withmicrometer resolution.

physical review. e

Stimulated-Raman-scattering amplification of attosecond XUV pulses with  pulse-train pumps and application to local in-depth plasma-density  measurement