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Author (up) Aylwin, R.; Silva-Oelker, G.; Jerez-Hanckes, C.; Fay, P. doi  openurl
  Title Optimization methods for achieving high diffraction efficiency with perfect electric conducting gratings Type
  Year 2020 Publication Journal Of The Optical Society Of America A-Optics Image Science And Vision Abbreviated Journal J. Opt. Soc. Am. A-Opt. Image Sci. Vis.  
  Volume 37 Issue 8 Pages 1316-1326  
  Keywords  
  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. (C) 2020 Optical Society of America  
  Address [Aylwin, Ruben] Pontificia Univ Catolica Chile, Dept Elect Engn, Santiago, Chile, Email: rdaylwin@uc.cl  
  Corporate Author Thesis  
  Publisher Optical Soc Amer Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1084-7529 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000555713900009 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 1216  
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