A third-order aberration analysis for a reflective grating interferometer (
RGI) is developed for a noncollimated configuration. In such a configuratio
n the RGI is still a folded and reversing interferometer that is sensitive
only to coma aberration, as it is in the collimated configuration. However,
for an unaberrated input beam converging on a plane grating, the reflectiv
e grating of the interferometer introduces self-aberrations. Consequently,
a nonnull fringe pattern is obtained. Nevertheless, a RGI in the noncollima
ted configuration has the potential to be applied for isolating and measuri
ng coma, and a possible configuration for this application is proposed. As
an example of the application, the coma of a large mirror could be isolated
and measured by use of a converged configuration to avoid the main limitat
ion in using the RGI in a configuration with a nearly collimated beam. (C)
2000 Optical Society of America.