title: Self-images location of amplitude/phase binary gratings.
abstract: We analyze the near-field behavior of binary amplitude/phase diffraction gratings, which modulate at the same time the amplitude and phase of the incident light beam. As it is expected, the distance between two consecutive self-images of the grating depends only on the period of the grating and the wavelength of the illumination. However, the location of the self-images depends on the specific properties of the grating. In this work, we analyze the location of the self-images in terms of the Fourier coefficients of the grating, obtaining analytical expressions. This analysis can be useful in applications in which the position of the self-images must be at certain fixed distances from the grating. Finally, an experimental and numerical verification of the proposed theory is performed.
authors.affiliation: Applied Optics Complutense Group, Optics Department, Universidad Complutense de Madrid, Facultad de Ciencias Físicas, Ciudad Universitaria s.n., 28040 Madrid, Spain. ftorcalmilla@fis.ucm.es
authors.forename: Francisco Jose
authors.initials: FJ
authors.lastname: Torcal-Milla
authors.forename: Luis Miguel
authors.initials: LM
authors.lastname: Sanchez-Brea
authors.forename: Francisco Javier
authors.initials: FJ
authors.lastname: Salgado-Remacha