RT Journal Article T1 Near field diffraction of steel tape gratings illuminated with finite-size incoherent sources A1 Torcal Milla, Francisco José A1 Sánchez Brea, Luis Miguel AB Steel tape gratings are diffraction gratings engraved on a steel substrate, whose slits are commonly manufactured by laser ablation. They behave as amplitude diffraction gratings, since the engraved slits act as strong scatters. Here, we extend previous works to the case of finite-size illumination sources, as they are used in applications such as optical encoders, where LEDs are commonly used as illumination sources. We obtain an analytical formulation for the near field behavior of this kind of gratings. When the light source increases its size, a decreasing in the contrast of the self-images is added to the effect of the surficial roughness. The agreement between analytical and numerical results is high, validating the obtained formulation. Besides, these results could be crucial in metrological applications in which steel tape gratings or other diffractive optical elements engraved on steel substrates are used, providing with a theoretical formalism to analyze the near field propagation of light after reflecting in them. PB Elsevier SN 0030-4026 YR 2022 FD 2022-02 LK https://hdl.handle.net/20.500.14352/72459 UL https://hdl.handle.net/20.500.14352/72459 LA eng NO © 2021 The Authors. Published by Elsevier GmbH.Dr. Torcal-Milla acknowledges support by Gobierno de Aragón-Fondo Social Europeo (Grupo de Tecnología Óptica Láser- E44_20R). Dr. Sanchez-Brea acknowledges funding from Ministerio de Ciencia e Innovación: Retos Colaboración 2019, Teluro Project RTC2019-007113-3, and from Plan Nacional de Investigación, Nanorooms project PID2019- 105918GB-I00. NO Ministerio de Ciencia e Innovación (MICINN) NO Gobierno de Aragon-Fondo Social Europeo DS Docta Complutense RD 2 may 2024