@article{HammerschmidtBarthPomplunetal., author = {Hammerschmidt, Martin and Barth, Carlo and Pomplun, Jan and Burger, Sven and Becker, Christiane and Schmidt, Frank}, title = {Reconstruction of photonic crystal geometries using a reduced basis method for nonlinear outputs}, series = {Proc. SPIE}, volume = {9756}, journal = {Proc. SPIE}, doi = {10.1117/12.2212482}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58187}, pages = {97561R}, 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.}, language = {en} } @article{HammerschmidtHerrmannPomplunetal., author = {Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Model order reduction for the time-harmonic Maxwell equation applied to complex nanostructures}, series = {Proc. SPIE}, volume = {9742}, journal = {Proc. SPIE}, doi = {10.1117/12.2212367}, pages = {97420M}, abstract = {Fields such as optical metrology and computational lithography require fast and efficient methods for solving the time-harmonic Maxwell's equation. Highly accurate geometrical modelling and numerical accuracy at low computational costs are a prerequisite for any simulation study of complex nano-structured photonic devices. We present a reduced basis method (RBM) for the time-harmonic electromagnetic scattering problem based on the hp-adaptive finite element solver JCMsuite capable of handling geometric and non-geometric parameter dependencies allowing for online evaluations in milliseconds. We apply the RBM to compute light-scattering at optical wavelengths of periodic arrays of fin field-effect transistors (FinFETs) where geometrical properties such as the width and height of the fin and gate can vary in a large range.}, language = {en} } @article{HammerschmidtHerrmannPomplunetal., author = {Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Reduced basis method for electromagnetic scattering problem: a case study for FinFETs}, series = {Optical and Quantum Electronics}, volume = {48}, journal = {Optical and Quantum Electronics}, doi = {10.1007/s11082-016-0530-1}, pages = {250}, abstract = {Optical 3D simulations in many-query and real-time contexts require new solution strategies. We study an adaptive, error controlled reduced basis method for solving parametrized time-harmonic optical scattering problems. Application fields are, among others, design and optimization problems of nano-optical devices as well as inverse problems for parameter reconstructions occurring e. g. in optical metrology. The reduced basis method pre- sented here relies on a finite element modeling of the scattering problem with parametrization of materials, geometries and sources.}, language = {en} } @article{PomplunBurgerZschiedrichetal., author = {Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Gutsche, Philipp and Schmidt, Frank}, title = {Method for fast computation of angular light scattering spectra from 2D periodic arrays}, series = {Proc. SPIE}, volume = {9778}, journal = {Proc. SPIE}, doi = {10.1117/12.2219666}, pages = {977839}, language = {en} } @inproceedings{ZschiedrichSchmidtPomplunetal., author = {Zschiedrich, Lin and Schmidt, Frank and Pomplun, Jan and Burger, Sven}, title = {Finite elements for nano-optics applications}, series = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {178}, language = {en} } @misc{HammerschmidtHerrmannPomplunetal., author = {Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Model order reduction for the time-harmonic Maxwell equation applied to complex nanostructures}, series = {Proc. SPIE}, volume = {9742}, journal = {Proc. SPIE}, issn = {1438-0064}, doi = {10.1117/12.2212367}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57239}, pages = {97420M}, abstract = {Fields such as optical metrology and computational lithography require fast and efficient methods for solving the time-harmonic Maxwell's equation. Highly accurate geometrical modeling and numerical accuracy atcomputational costs are a prerequisite for any simulation study of complex nano-structured photonic devices. We present a reduced basis method (RBM) for the time-harmonic electromagnetic scattering problem based on the hp-adaptive finite element solver JCMsuite capable of handling geometric and non-geometric parameter dependencies allowing for online evaluations in milliseconds. We apply the RBM to compute light-scatteringoptical wavelengths off periodic arrays of fin field-effect transistors (FinFETs) where geometrical properties such as the width and height of the fin and gate can vary in a large range.}, language = {en} } @misc{HammerschmidtBarthPomplunetal., author = {Hammerschmidt, Martin and Barth, Carlo and Pomplun, Jan and Burger, Sven and Becker, Christiane and Schmidt, Frank}, title = {Reconstruction of photonic crystal geometries using a reduced basis method for nonlinear outputs}, issn = {1438-0064}, doi = {10.1117/12.2212482}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57249}, 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.}, language = {en} } @misc{HammerschmidtHerrmannBurgeretal., author = {Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Pomplun, Jan and Schmidt, Frank}, title = {Reduced basis method for the optimization of nano-photonic devices}, issn = {1438-0064}, doi = {10.1007/s11082-016-0530-1}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57556}, abstract = {Optical 3D simulations in many-query and real-time contexts require new solution strategies. We study an adaptive, error controlled reduced basis method for solving parametrized time-harmonic optical scattering problems. Application fields are, among others, design and optimization problems of nano-optical devices as well as inverse problems for parameter reconstructions occuring e. g. in optical metrology. The reduced basis method presented here relies on a finite element modeling of the scattering problem with parametrization of materials, geometries and sources.}, language = {en} } @inproceedings{BurgerZschiedrichPomplunetal., author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Herrmann, Sven and Schmidt, Frank}, title = {hp-finite element method for simulating light scattering from complex 3D structures}, series = {Proc. SPIE}, volume = {9424}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2085795}, pages = {94240Z}, language = {en} } @inproceedings{BurgerGutscheHammerschmidtetal., author = {Burger, Sven and Gutsche, Philipp and Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Schmidt, Frank and Wohlfeil, Benjamin and Zschiedrich, Lin}, title = {Hp-finite-elements for simulating electromagnetic fields in optical devices with rough textures}, series = {Proc. SPIE}, volume = {9630}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2190119}, pages = {96300S}, language = {en} }