The optical design of a high-throughput grazing-incidence flat-field spectr
ometer is presented. The spectral focal curve is almost a straight line bec
ause of the flat-field focusing properties of spherical variable-line-space
d gratings. The angular acceptance in the direction perpendicular to the pl
ane of dispersion is maximized by means of a focusing spherical mirror moun
ted with its tangential plane coincident with the sagittal plane of the gra
ting. Analytical calculations for the determination of the optimum mirror p
arameters are presented. A spectrometer for high-throughput experiments in
the 800-60-eV region is designed with an extreme-ultraviolet-enhanced CCD d
etector: when the available flux is compared with that of a spectrometer wi
th the same kinds of grating and detector but without a focusing mirror, th
e increase is as much as a factor 3. (C) 2000 Optical Society of America OC
IS codes: 059.1950, 080.1010, 120.6200, 220.1000, 260.7200.