129853 20240112163659.0 doi 10.1088/2040-8986/ab8614 sideral 118143 ART-2020-118143 eng Sanchez-Brea, L.M. Optimization of angular diffractive lenses with extended depth of focus 2020 Conventional refractive lenses concentrate the incident light at focal distance. A narrow beam waist can be achieved by increasing the lens numerical aperture, but strongly reduces the depth of focus. In this work, we explore diffractive lenses designs, with fast angular variation of the focal distance, that produce both a narrow beam waist and a long depth of focus. We predict the focusing properties of the diffractive lenses with a simple analytical model based on an incoherent superposition of standard lenses with different focal distances. The histogram of the local focal distances is used to determine the weights in the superposition. Our model optimizes the shape of the diffractive lenses, in order to extend the depth of focus, which corresponds to the lotus lens. We verify our results with numerical simulations based on Rayleigh-Sommerfeld approach. Experimentally, we validate our analytical and numerical solutions with a spatial light modulator. We have found configurations for the lotus lens where the depth of focus is significantly incremented with only a slight increment of the focal width. For example, we increased the depth of focus from 7.6 mm to 37.2 mm while the beam waist varied from 35.0 microns to 51.6 microns for a lens with diameter D = 4 mm, and focal distance f'' = 125 mm. These results may find applications in the design of contact and intraocular lenses with extended depth of focus, laser focus generators, and imaging applications where extended depth of focus is needed. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/MINECO-AEI-FEDER/DPI2016-75272-R info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.516 2020 OPTICS 42 / 99 = 0.424 2020 Q2 T2 0.918 2020 Electronic, Optical and Magnetic Materials 2020 Q1 Atomic and Molecular Physics, and Optics 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Torcal-Milla, F.J. Universidad de Zaragoza (orcid)0000-0003-3178-5253 Del Hoyo, J. Cuadrado, A. Gomez-Pedrero, J.A. 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 22, 6 (2020), 065601 [10 pp] J. opt. Journal of Optics (United Kingdom) 2040-8978 6976278 http://zaguan.unizar.es/record/129853/files/texto_completo.pdf Postprint 1573284 http://zaguan.unizar.es/record/129853/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:129853 articulos driver 2024-01-12-14:08:25 ARTICLE