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Optimization methods for achieving high diffraction efficiency with perfect electric conducting gratings.
J Opt Soc Am A Opt Image Sci Vis ; 37(8): 1316-1326, 2020 Aug 01.
Article en En | MEDLINE | ID: mdl-32749266
ABSTRACT
This 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.

Texto completo: 1 Colección: 01-internacional Banco de datos: MEDLINE Idioma: En Revista: J Opt Soc Am A Opt Image Sci Vis Asunto de la revista: OFTALMOLOGIA Año: 2020 Tipo del documento: Article

Texto completo: 1 Colección: 01-internacional Banco de datos: MEDLINE Idioma: En Revista: J Opt Soc Am A Opt Image Sci Vis Asunto de la revista: OFTALMOLOGIA Año: 2020 Tipo del documento: Article