Abstract
We report on the multiphoton ionization processes in the soft-x-ray region $(\ensuremath{\lambda}\ensuremath{\leqslant}30\phantom{\rule{0.3em}{0ex}}\mathrm{nm})$. On the basis of the measured time-of-flight spectra for both ions and electrons obtained using intense soft-x-ray pulses produced by high-order harmonics, the cross sections of the two-photon double ionization and above-threshold ionization of $\mathrm{He}$ are estimated. The high-intensity soft-x-ray radiation achieved by phase-matched high-order harmonics enables the investigation of these nonlinear optical processes, which were beyond the reach of conventional light sources.
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