Coherent growth of high-order harmonic radiation has been extended to propa
gation lengths comparable to the XUV absorption length at wavelengths as sh
ort as 10 nm range for the first time. Absorption-limited production of hig
h harmonics of sub-10-fs near-infrared laser pulses in gas jets gives rise
to a harmonic conversion efficiency of (3-4) x 10(-8) in the range of 10-13
nm in neon and some 2 orders of magnitude higher at about 30 nm in argon.
This kHz-repetition-rate ultrafast soft-x-ray source emits approximately 10
(10) photons per sec within a 0.9-nm bandwidth of a typical Mo:Si mirror at
13.4 nm in a near-diffraction-limited beam and opens up the way to soft-x-
ray nonlinear optics and the measurement of-sub-fs soft-x-ray pulses.