An analysis to the Fresnel diffraction of a grating

摘要

Based on the incorporation of the structure and the distance of an amplitude grating, we put forward an equation to calculate the Fresnel diffractive field of the grating with an arbitrary opening ratio at any fractional Talbot distance. Because the transmissive function of a phase grating can be regarded as a linear combination of that of amplitude gratings, from above equation for calculating the Fresnel diffractive field of an amplitude grating, we present an analytical equation to calculate the Fresnel diffractive field of an arbitrary multiple phase grating. Using the analytical equation, we can conveniently study the fractional Talbot effect and its application of the arbitrary multiple phase grating. We give a new approach to analyse the Fresnel diffraction of a grating.