The optical system for a dark-field X-ray microscope is described. In
particular, the optics for condensing the X-rays onto the specimen are
discussed in detail. The microscope is designed for use with two type
s of source, line and continuum; for the former a toroidal mirror will
be used while for the latter the mirror will be replaced by a toroida
l grating to perform simultaneous focusing and dispersion. The design
criteria for these optics are discussed and a procedure for minimising
the aberrations at the specimen plane is described; this allows a goo
d spectral resolution and minimises loss of flux due to non-dispersive
aberration of the grating.