Optimization methods for achieving high diffraction efficiency with perfect electric conducting gratings

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dc.contributor.authorAylwin, Ruben
dc.contributor.authorSilva-Oelker, Gerardo
dc.contributor.authorJerez-Hanckes, Carlos
dc.contributor.authorFay, Patrick
dc.date.accessioned2025-01-23T19:49:19Z
dc.date.available2025-01-23T19:49:19Z
dc.date.issued2020
dc.description.abstractThis work presents the implementation, numerical examples, and experimental convergence study of first- and second-order optimization methods applied to one-dimensional periodic gratings. Through boundary integral equations and shape derivatives, the profile of a grating is optimized such that it maximizes the diffraction efficiency for given diffraction modes for transverse electric polarization. We provide a thorough comparison of three different optimization methods: a first-order method (gradient descent); a second-order approach based on a Newton iteration, where the usual Newton step is replaced by taking the absolute value of the eigenvalues given by the spectral decomposition of the Hessian matrix to deal with non-convexity; and the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm, a quasi-Newton method. Numerical examples are provided to validate our claims. Moreover, two grating profiles are designed for high efficiency in the Littrow configuration and then compared to a high efficiency commercial grating. Conclusions and recommendations, derived from the numerical experiments, are provided as well as future research avenues. (C) 2020 Optical Society of America
dc.fuente.origenWOS
dc.identifier.doi10.1364/JOSAA.394204
dc.identifier.eissn1520-8532
dc.identifier.issn1084-7529
dc.identifier.urihttps://doi.org/10.1364/JOSAA.394204
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/100495
dc.identifier.wosidWOS:000555713900009
dc.issue.numero8
dc.language.isoen
dc.pagina.final1326
dc.pagina.inicio1316
dc.revistaJournal of the optical society of america a-optics image science and vision
dc.rightsacceso restringido
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleOptimization methods for achieving high diffraction efficiency with perfect electric conducting gratings
dc.typeartículo
dc.volumen37
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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