A study of diffraction of a time Gaussian-shaped pulse from an amplitude diffraction grating is presented. T h e changes of the spectral composition, time intensity and energy of the diffraction pattern are considered. The measurement of the spectral composition of the primary pulse with the help of a diffraction grating based on the measurement of the spatial distribution of energy of the diffraction pattern is discussed.
IntroductionWhat happens to the spectrum and time intensity of a single ultrashort pulse interacting with a diffraction grating? Several studies are available considering diffraction gratings in general, diffraction of pulses on gratings and their applications (see for example [l-141). Nevertheless, the complete answer to the above question has not been given until now. In order to find it out, we developed a unified spectral theory of light propagation, considering, from the same point of view, both stationary and nonstationary light sources and their wave fields.Considering a time Gaussian-shaped plane wave diffracted by a single slit [15-171 or its intereference from two very narrow slits [18], we showed that in both cases the changes of the spectral composition and evolution of the time intensity as functions of the observation angle are the same. T h e reason for the appearance of the spectral changes, known in the theory of stationary light radiation as the Wolf effect, lies in the spatial coherence of the incident plane wave [19, 201. As the spatial coherence of the incident wave decreases, the changes of the spectral composition and time intensity of the wave field become less evident and, when the incident wave is spatially incoherent, the normalized spectral composition, time intensity and energy of the far zone pulsed wave field do not change at all [21]. The dependence of the energy of a pulsed wave field on the spatial coherence of its source gives a method of measurement of the spatial coherence of a pulsed source through the measurement of the energy of its wave field at the on-axis points [21].In the present paper we gather the above results in the study of an amplitude diffraction grating consisting of equidistant slits, illuminated by a time Gaussianshaped pulsed plane wave, in scalar approximation. We consider the changes of the spectrum and time intensity of the diffraction pattern at the off-axis points of observation and discuss the influence of finite slit width on these features. We