@inproceedings{ZschiedrichSchmidtPomplunetal.2016, author = {Zschiedrich, Lin and Schmidt, Frank and Pomplun, Jan and Burger, Sven}, title = {Finite elements for nano-optics applications}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {178}, year = {2016}, language = {en} } @inproceedings{JaegerBarthHammerschmidtetal.2016, author = {J{\"a}ger, Klaus and Barth, Carlo and Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Schmidt, Frank and Becker, Christiane}, title = {Sinusoidal Nanotextures for Enhanced Light Management in Thin-Film Solar Cells}, booktitle = {28th Workshop on Quantum Solar Energy Conversion - (QUANTSOL)}, editor = {European Society for Quantum Solar Energy Conversion,}, year = {2016}, language = {en} } @article{BarthProbstHerrmannetal.2016, author = {Barth, Carlo and Probst, J{\"u}rgen and Herrmann, Sven and Hammerschmidt, Martin and Becker, Christiane}, title = {Numerical characterization of symmetry properties for photonic crystals with hexagonal lattice}, volume = {9885}, journal = {Proc. SPIE}, doi = {10.1117/12.2227094}, pages = {988506}, year = {2016}, abstract = {We present a numerical method to characterize the symmetry properties of photonic crystal (PhC) modes based on field distributions, which themselves can be obtained numerically. These properties can be used to forecast specific features of the optical response of such systems, e.g. which modes are allowed to couple to external radiation fields. We use 2D PhCs with a hexagonal lattice of holes in dielectric as an example and apply our technique to reproduce results from analytical considerations. Further, the method is extended to fully vectorial problems in view of 3D PhCs and PhC slabs, its functionality is demonstrated using test cases and, finally, we provide an efficient implementation. The technique can thus readily be applied to output data of all band structure computation methods or even be embedded - gaining additional information about the mode symmetry.}, language = {en} } @article{JaegerKoeppelBarthetal.2016, author = {J{\"a}ger, Klaus and K{\"o}ppel, Grit and Barth, Carlo and Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Schmidt, Frank and Becker, Christiane}, title = {Sinusoidal gratings for optimized light management in c-Si thin-film solar cells}, volume = {9898}, journal = {Proc. SPIE}, doi = {10.1117/12.2225459}, pages = {989808}, year = {2016}, language = {en} } @phdthesis{Hammerschmidt2016, author = {Hammerschmidt, Martin}, title = {Optical simulation of complex nanostructured solar cells with a reduced basis method}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:188-fudissthesis000000102429-1}, pages = {XX, 169}, year = {2016}, abstract = {Simulations of optical processes and complex nanostructured devices have become omnipresent in recent years in several fields of current research and industrial applications, not limited to the field of photovoltaics. Devices or processes are optimized with respect to a certain objective where the underlying physical processes are described by partial differential equations. In photovoltaics and photonics electromagnetic fields are investigated which are governed by Maxwell's equations. In this thesis a reduced basis method for the solution of the parameter dependent electromagnetic scattering problem with arbitrary parameters is developed. The method is developed with the specific challenges arising in optical simulations of thin-film silicon solar cells in mind. These are large in domain size and have a complex three-dimensional structure, making optimization tasks infeasible if high-accuracy of the electromagnetic field solution is required. The application of the empirical interpolation methods allows to expand an arbitrary parameter dependence affinely. Thus not only geometries, but also material tensors and source fields can be parameterized. Additionally, the required non-linear post-processing steps of the electromagnetic field to derive energy fluxes or volume absorption are addressed. The reduced basis method allows to reduce the computational costs by orders of magnitude compared to efficient finite element solvers. In addition, an efficient tailored domain decomposition algorithm is presented to model incoherent layers or illuminations in optical systems efficiently. This is of particular interest for solar cells in superstrate configuration where the absorber is illuminated through a glass substrate. The developed methods are employed in application examples taken from collaborations with experimentalists active in the joint lab "BerOSE" (Berlin Joint Lab for Optical Simulations for Energy Research). The optical model of a thin-film silicon multi-junction with incoherent light-trapping is characterized in great detail. The computational gains through hybrid, hp adaptive finite elements are studied and the incoherent domain decomposition algorithm is applied to model a more realistic light-trapping by the glass substrate. The numerical examples of a hexagonal nano-hole array and multi-junction silicon solar cell with a tunable intermediate reflector layer show that the reduced basis method is well suited as a forward solver for modeling and optimization tasks arising in photovoltaics and photonics. Reduced models for illumination and geometric parameters are built providing up to five orders of magnitude savings in computational costs. Resonance phenomena present in the nano-hole array example are detected and the model adapts itself automatically.}, language = {en} } @article{BlomeMcPeakBurgeretal.2014, author = {Blome, Mark and McPeak, Kevin and Burger, Sven and Schmidt, Frank and Norris, David}, title = {Back-reflector design in thin-film silicon solar cells by rigorous 3D light propagation modeling}, volume = {33}, journal = {COMPEL: Int. J. Comput. Mathem. Electr. Electron. Eng.}, number = {4}, doi = {10.1108/COMPEL-12-2012-0367}, pages = {1282 -- 1295}, year = {2014}, language = {en} } @article{McPeakvanEngersBianchietal.2015, author = {McPeak, Kevin and van Engers, Christian D. and Bianchi, Sarah and Rossinelli, Aurelio and Poulikakos, Lisa and Bernard, Laetitia and Herrmann, Sven and Kim, David K. and Burger, Sven and Blome, Mark and Jayanti, Sriharsha V. and Norris, David}, title = {Ultraviolet Plasmonic Chirality from Colloidal Aluminum Nanoparticles Exhibiting Charge-Selective Protein Detection}, volume = {27}, journal = {Adv. Mater.}, doi = {10.1002/adma.201503493}, pages = {6244}, year = {2015}, language = {en} } @inproceedings{BurgerGutscheHammerschmidtetal.2015, 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}, volume = {9630}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1510.02607}, doi = {10.1117/12.2190119}, pages = {96300S}, year = {2015}, language = {en} } @inproceedings{BurgerZschiedrichPomplunetal.2015, 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}, volume = {9424}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1503.06617}, doi = {10.1117/12.2085795}, pages = {94240Z}, year = {2015}, language = {en} } @article{KaschkeBlomeBurgeretal.2014, author = {Kaschke, Johannes and Blome, Mark and Burger, Sven and Wegener, Martin}, title = {Tapered N-helical metamaterials with three-fold rotational symmetry as improved circular polarizers}, volume = {22}, journal = {Opt. Expr.}, number = {17}, doi = {10.1364/OE.22.019936}, pages = {19936 -- 19946}, year = {2014}, language = {en} } @article{McPeakvanEngersBlomeetal.2014, author = {McPeak, Kevin and van Engers, Christian D. and Blome, Mark and Park, Jong Hyuk and Burger, Sven and Gosalvez, Miguel A. and Faridi, Ava and Ries, Yasmina and Sahu, Ayaskanta and Norris, David}, title = {Complex Chiral Colloids and Surfaces via High-Index Off-Cut Silicon}, volume = {14}, journal = {Nano Lett.}, number = {5}, doi = {10.1021/nl501032j}, pages = {2934 -- 2940}, year = {2014}, language = {en} } @inproceedings{BurgerHammerschmidtHerrmannetal.2015, author = {Burger, Sven and Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Schmidt, Frank}, title = {Reduced basis methods for optimization of nano-photonic devices}, booktitle = {Proc. Int. Conf. Numerical Simulation of Optoelectronic Devices (NUSOD)}, doi = {10.1109/NUSOD.2015.7292871}, pages = {159}, year = {2015}, language = {en} } @inproceedings{JaegerBarthHammerschmidtetal.2015, author = {J{\"a}ger, Klaus and Barth, Carlo and Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Schmidt, Frank and Becker, Christiane}, title = {Sinusoidal Nanotextures for Coupling Light into c-Si Thin-Film Solar Cells}, booktitle = {Light, Energy and the Environement 2015}, doi = {10.1364/PV.2015.PTu4B.3}, pages = {PTu4B.3}, year = {2015}, language = {en} } @article{JaegerBarthHammerschmidtetal.2016, author = {J{\"a}ger, Klaus and Barth, Carlo and Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Schmidt, Frank and Becker, Christiane}, title = {Simulations of sinusoidal nanotextures for coupling light into c-Si thin-film solar cells}, volume = {24}, journal = {Opt. Express}, doi = {10.1364/OE.24.00A569}, pages = {A569}, year = {2016}, language = {en} } @article{HammerschmidtBarthPomplunetal.2016, 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}, volume = {9756}, journal = {Proc. SPIE}, doi = {10.1117/12.2212482}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58187}, pages = {97561R}, year = {2016}, 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.2016, 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}, volume = {9742}, journal = {Proc. SPIE}, doi = {10.1117/12.2212367}, pages = {97420M}, year = {2016}, 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.2016, 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}, volume = {48}, journal = {Optical and Quantum Electronics}, doi = {10.1007/s11082-016-0530-1}, pages = {250}, year = {2016}, 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} }