Optimization of angular diffractive lenses with extended depth of focus

dc.contributor.authorSánchez Brea, Luis Miguel
dc.contributor.authorTorcal Milla, Francisco José
dc.contributor.authorHoyo Muñoz, Jesús del
dc.contributor.authorCuadrado Conde, Alexander
dc.contributor.authorGómez Pedrero, José Antonio
dc.date.accessioned2023-06-16T15:16:57Z
dc.date.available2023-06-16T15:16:57Z
dc.date.issued2020-04-02
dc.descriptionReceived 5 December 2019 Revised 27 March 2020 Accepted 2 April 2020 Accepted Manuscript online 2 April 2020
dc.description.abstractConventional 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 paper, 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 or 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 are carried out and compared to the analytical and numerical results. 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.
dc.description.departmentSección Deptal. de Óptica (Óptica)
dc.description.facultyFac. de Óptica y Optometría
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)/FEDER
dc.description.statusinpress
dc.eprint.idhttps://eprints.ucm.es/id/eprint/59982
dc.identifier.doi10.1088/2040-8986/ab8614
dc.identifier.issn2040-8978
dc.identifier.officialurlhttps://doi.org/10.1088/2040-8986/ab8614
dc.identifier.relatedurlhttps://iopscience.iop.org/article/10.1088/2040-8986/ab8614/meta
dc.identifier.urihttps://hdl.handle.net/20.500.14352/6160
dc.journal.titleJournal of Optics
dc.language.isoeng
dc.publisherIOP Publishing, Ltd.
dc.relation.projectIDDPI2016-75272-R
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.cdu535.42
dc.subject.cdu617.7-089.243
dc.subject.keywordDiffractive lenses
dc.subject.keywordDiffractive optics
dc.subject.keywordDiffractive optical elements
dc.subject.keywordExtended depth of focus lens
dc.subject.ucmÓptica (Física)
dc.subject.ucmLentes de contacto
dc.subject.ucmÓptica geométrica e instrumental
dc.subject.unesco2209.19 Óptica Física
dc.subject.unesco3311.11 Instrumentos ópticos
dc.subject.unesco2209.06 Óptica geométrica
dc.titleOptimization of angular diffractive lenses with extended depth of focus
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication72f8db7f-8a25-4d15-9162-486b0f884481
relation.isAuthorOfPublicationce5e5998-478d-43b4-a65f-9e77bab602de
relation.isAuthorOfPublication5c5cb6be-771c-40ed-8af0-cdfdbdfb3d36
relation.isAuthorOfPublication.latestForDiscovery72f8db7f-8a25-4d15-9162-486b0f884481
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