The aberrations of hyperbolic diffraction gratings produced with two s
pherical waves are analyzed theoretically and experimentally. The beha
vior of these gratings in collimated illumination indicates that for a
grating of a given size there is a critical spatial frequency above w
hich the aberration remains constant for all spatial frequencies. Aber
rations associated with geometrical errors in the recording geometry a
re derived. With simple interferometric tests, misalignments in the re
cording process can be identified easily.