An effective x-ray optical method to focus keV x-ray pulses shorter than on
e picosecond by using spherically or toroidally bent crystals is presented.
The spectral, spatial, and time-dependent properties of focusing by two-di
mensional bent crystals are calculated by considering geometrical effects,
physical limitation in high performance crystal optics, and reflectivities
obtained by x-ray diffraction theory. These properties are compared with fi
rst experimental results of focusing x rays from a plasma created by a lase
r pulse with 4.5 mJ energy and 100 fs pulse length. The x-ray signals, simu
ltaneously obtained from a von Hamos spectrometer and two-dimensional bent
crystals are compared and found in good agreement with theoretical data. Th
e possibilities and aspects of laser pump x-ray probe experiments using thi
s type of x-ray optics system and currently available laser systems are dis
cussed. (C) 1999 American Institute of Physics. [S0034-6748(99)05002-9].