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Proceedings Paper

Reconstruction of photonic crystal geometries using a reduced basis method for nonlinear outputs
Author(s): Martin Hammerschmidt; Carlo Barth; Jan Pomplun; Sven Burger; Christiane Becker; Frank Schmidt
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Paper Abstract

Maxwell solvers based on the hp-adaptive finite element method allow for accurate geometrical modeling and high numerical accuracy. These features are indispensable for the optimization of optical properties or reconstruction of parameters through inverse processes. High computational complexity prohibits the evaluation of the solution for many parameters. We present a reduced basis method (RBM) for the time-harmonic electromagnetic scattering problem allowing to compute solutions for a parameter configuration orders of magnitude faster. The RBM allows to evaluate linear and nonlinear outputs of interest like Fourier transform or the enhancement of the electromagnetic field in milliseconds. We apply the RBM to compute light-scattering off two dimensional photonic crystal structures made of silicon and reconstruct geometrical parameters.

Paper Details

Date Published: 14 March 2016
PDF: 10 pages
Proc. SPIE 9756, Photonic and Phononic Properties of Engineered Nanostructures VI, 97561R (14 March 2016); doi: 10.1117/12.2212482
Show Author Affiliations
Martin Hammerschmidt, Konrad-Zuse-Zentrum (Germany)
Carlo Barth, Konrad-Zuse-Zentrum (Germany)
Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (Germany)
Jan Pomplun, JCMwave GmbH (Germany)
Sven Burger, Konrad-Zuse-Zentrum (Germany)
JCMwave GmbH (Germany)
Christiane Becker, Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (Germany)
Frank Schmidt, Konrad-Zuse-Zentrum (Germany)
JCMwave GmbH (Germany)


Published in SPIE Proceedings Vol. 9756:
Photonic and Phononic Properties of Engineered Nanostructures VI
Ali Adibi; Shawn-Yu Lin; Axel Scherer, Editor(s)

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