The collimated optical beam in a grating spectrometer may be circular or el
liptical in cross section, so that different parts of the beam illuminate d
ifferent numbers of grooves on the grating. Here we estimate the consequent
loss in spectral resolution relative to that obtained with a beam that ill
uminates a fixed number of grooves. The effect reduces the intrinsic resolv
ing power of the spectrometer by similar to 15%, exclusive of other contrib
utions such as finite entrance-slit width. (C) 2000 Optical Society of Amer
ica OCIS codes: 050.1940, 050.1950.