A grating structure by high dispersion volume holography that applies, for example, to pulse compression or stretching devices. The grating structure includes a transmission volume holographic grating produced on a reflective support. The grating includes strata inclined to the plane of the support, the angle of inclination of the strata defined with respect to the normal to the support and the pitch of the strata being chosen such that a light beam of a predetermined mean wavelength, incident on the structure with a predetermined angle of incidence, undergoes a first passage through the grating, is reflected by the reflective support, undergoes a second passage through the grating, and is only diffracted by the grating during one of the first and second passages.