The off-axis pivot-point mounting for toroidal uniform Line-space (TULS) gr
atings and spherical varied line-space (SVLS) is presented: One scans the s
pectrum by rotating the grating about the pivot point. The best choice for
the location of the point is discussed: For a monochromator the location is
chosen such that the grating is moved approximately along the bisector of
the subtended angle; for a spectrometer, it is chosen such that the grating
is moved approximately along the direction of the incident ray. Minimizing
the spectral defocusing caused by the rotation of the grating determines t
he optimum length of the pivot arm. The pivot points for TULS and SVLS grat
ings are found to be located on opposite sides with respect to the normal t
o the grating. In a comparison of the optical performance, the spectral foc
using is similar, but the spatial aberrations can be fewer for a SVLS grati
ng. (C) 2000 Optical Society of America.