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Ray and Wave Aberrations Revisited: A Huygens-Like Construction Yields Exact Relations

hal.structure.identifierMelting the frontiers between Light, Shape and Matter [MANAO]
hal.structure.identifierLaboratoire Photonique, Numérique et Nanosciences [LP2N]
dc.contributor.authorRESTREPO, John
hal.structure.identifierChercheur indépendant
dc.contributor.authorSTOERCK, Pawel
hal.structure.identifierMelting the frontiers between Light, Shape and Matter [MANAO]
hal.structure.identifierLaboratoire Photonique, Numérique et Nanosciences [LP2N]
dc.contributor.authorIHRKE, Ivo
dc.date.accessioned2023-05-12T10:57:58Z
dc.date.available2023-05-12T10:57:58Z
dc.date.issued2015-11-13
dc.identifier.issn0030-3941
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/181970
dc.description.abstractEnThe aberrations of an optical system can be described in terms of the wave aberrations, defined as the departure from the ideal spherical wavefront; or the ray aberrations, which are in turn the deviations from the paraxial ray intersections measured in the image plane. The classical connection between the two descriptions is an approximation, the error of which has, so far, not been quantified analytically. We derive exact analytical equations for computing the wavefront surface, the aberrated ray directions, and the transverse ray aberrations in terms of the wave aberrations (OPD) and the reference sphere. We introduce precise conditions for a function to be an OPD function, show that every such function has an associated wavefront, and study the error arising from the classical approximation. We establish strict conditions for the error to be small. We illustrate our results with numerical simulations. Our results show that large numerical apertures and OPD functions with strong gradients yield larger approximation errors.
dc.language.isoen
dc.publisherOptical Society of America
dc.subject.en2 LP2N
dc.subject.enTalence
dc.subject.enFrance 3 independent scholar
dc.subject.enIsle St Georges
dc.subject.enFrance OCIS codes: (2201010) Aberrations
dc.subject.en(0800080) Geometric Optics
dc.title.enRay and Wave Aberrations Revisited: A Huygens-Like Construction Yields Exact Relations
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Physique [physics]/Optique [physics.optics]
dc.subject.halInformatique [cs]/Traitement du signal et de l'image
dc.identifier.arxiv1509.06153
bordeaux.journalJournal of the Optical Society of America
bordeaux.hal.laboratoriesLaboratoire Photonique, Numérique et Nanosciences (LP2N) - UMR 5298*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01240231
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01240231v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20the%20Optical%20Society%20of%20America&rft.date=2015-11-13&rft.eissn=0030-3941&rft.issn=0030-3941&rft.au=RESTREPO,%20John&STOERCK,%20Pawel&IHRKE,%20Ivo&rft.genre=article


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