It is known that near grating anomalies of the resonance type a beam may un
dergo a lateral shift of the order of the beam width, and a pulse may be de
layed by a time of the order of the pulse duration. These numerical investi
gations are extended to Rayleigh anomalies that occur when, upon variation
of the wavelength or the angle of incidence, an additional propagating diff
raction order emerges. It is shown that delays and displacements are 1 orde
r of magnitude smaller than in the resonance case. However, with increasing
beam width (or pulse duration), the lateral displacement (or the temporal
delay) can become large. (C) 2000 Optical Society of America [S0740-3232(00
)01601-X].