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  • Burger, Sven (300)
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  • reduced basis method (4)
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Reduced basis method for Maxwell's equations with resonance phenomena (2015)
Hammerschmidt, Martin ; Herrmann, Sven ; Pomplun, Jan ; Zschiedrich, Lin ; Burger, Sven ; Schmidt, Frank
Rigorous optical simulations of 3-dimensional nano-photonic structures are an important tool in the analysis and optimization of scattering properties of nano-photonic devices or parameter reconstruction. To construct geometrically accurate models of complex structured nano-photonic devices the finite element method (FEM) is ideally suited due to its flexibility in the geometrical modeling and superior convergence properties. Reduced order models such as the reduced basis method (RBM) allow to construct self-adaptive, error-controlled, very low dimensional approximations for input-output relationships which can be evaluated orders of magnitude faster than the full model. This is advantageous in applications requiring the solution of Maxwell's equations for multiple parameters or a single parameter but in real time. We present a reduced basis method for 3D Maxwell's equations based on the finite element method which allows variations of geometric as well as material and frequency parameters. We demonstrate accuracy and efficiency of the method for a light scattering problem exhibiting a resonance in the electric field.
Numerical optimization of the extraction efficiency of a quantum-dot based single-photon emitter into a single-mode fiber (2018)
Schneider, Philipp-Immanuel ; Srocka, Nicole ; Rodt, Sven ; Zschiedrich, Lin ; Reitzenstein, Stephan ; Burger, Sven
The Chiral Coefficient: Rapid Optimization of Broadband Plasmonic Chirality (2016)
Wilson, Jon C. ; Herrmann, Sven ; Gutsche, Philipp ; Burger, Sven ; McPeak, Kevin
Sinusoidal Nanotextures for Enhanced Light Management in Thin-Film Solar Cells (2016)
Jäger, Klaus ; Barth, Carlo ; Hammerschmidt, Martin ; Herrmann, Sven ; Burger, Sven ; Schmidt, Frank ; Becker, Christiane
Sinusoidal gratings for optimized light management in c-Si thin-film solar cells (2016)
Jäger, Klaus ; Köppel, Grit ; Barth, Carlo ; Hammerschmidt, Martin ; Herrmann, Sven ; Burger, Sven ; Schmidt, Frank ; Becker, Christiane
hp-finite element method for simulating light scattering from complex 3D structures (2015)
Burger, Sven ; Zschiedrich, Lin ; Pomplun, Jan ; Herrmann, Sven ; Schmidt, Frank
Reduced basis method for the optimization of nano-photonic devices (2016)
Hammerschmidt, Martin ; Herrmann, Sven ; Burger, Sven ; Pomplun, Jan ; Schmidt, Frank
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.
Model order reduction for the time-harmonic Maxwell equation applied to complex nanostructures (2016)
Hammerschmidt, Martin ; Herrmann, Sven ; Pomplun, Jan ; Burger, Sven ; Schmidt, Frank
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.
Reduced basis method for electromagnetic scattering problem: a case study for FinFETs (2016)
Hammerschmidt, Martin ; Herrmann, Sven ; Pomplun, Jan ; Burger, Sven ; Schmidt, Frank
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.
Model order reduction for the time-harmonic Maxwell equation applied to complex nanostructures (2016)
Hammerschmidt, Martin ; Herrmann, Sven ; Pomplun, Jan ; Burger, Sven ; Schmidt, Frank
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.
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