%0 Journal Article %A Torcal Milla, Francisco José %A Sánchez Brea, Luis Miguel %A Bernabeu Martínez, Eusebio %T Near field diffraction of cylindrical convex gratings %D 2015 %@ 2040-8978 %U https://hdl.handle.net/20.500.14352/35041 %X We analyze the field produced by a cylindrical convex diffraction grating at the Fresnel regime for several kinds of light sources, including a monochromatic quasipunctual source, finite size, and polychromatic sources. These results can help one understand the functioning of rotary optical encoder technology. A decrease in the self-image contrast is produced for finite nonpunctual sources. In addition, the polychromaticity of the source affects the smoothness of the self-images, making them quasicontinuous from a certain distance from the grating forward. Finally, we experimentally validate the obtained analytical predictions. %~