@article{HammerschmidtWeiserSantiagoetal., author = {Hammerschmidt, Martin and Weiser, Martin and Santiago, Xavier Garcia and Zschiedrich, Lin and Bodermann, Bernd and Burger, Sven}, title = {Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion}, series = {Proc. SPIE}, volume = {10330}, journal = {Proc. SPIE}, doi = {10.1117/12.2270596}, pages = {1033004}, language = {en} } @article{HammerschmidtSchneiderSantiagoetal., author = {Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Santiago, Xavier Garcia and Zschiedrich, Lin and Weiser, Martin and Burger, Sven}, title = {Solving inverse problems appearing in design and metrology of diffractive optical elements by using Bayesian optimization}, series = {Proc. SPIE}, volume = {10694}, journal = {Proc. SPIE}, doi = {10.1117/12.2315468}, pages = {1069407}, language = {en} } @misc{HammerschmidtWeiserSantiagoetal., author = {Hammerschmidt, Martin and Weiser, Martin and Santiago, Xavier Garcia and Zschiedrich, Lin and Bodermann, Bernd and Burger, Sven}, title = {Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-64704}, abstract = {We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss the influence of numerical accuracy on the reconstruction result.}, language = {en} } @inproceedings{HammerschmidtLockauBurgeretal.2012, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {3D optical modeling of thin-film a-Si/mc-Si tandem solar cells with random textured interfaces using FEM}, series = {Renewable Energy and the Environment Optics and Photonics Congress}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/E2.2012.JM5A.15}, pages = {JM5A.15}, year = {2012}, language = {en} } @article{HammerschmidtLockauBurgeretal.2013, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {FEM-based optical modeling of silicon thin-film tandem solar cells with randomly textured interfaces in 3D}, series = {Proc. SPIE}, volume = {8620}, journal = {Proc. SPIE}, doi = {10.1117/12.2001789}, pages = {86201H}, year = {2013}, language = {en} } @inproceedings{ZschiedrichGreinerPomplunetal.2012, author = {Zschiedrich, Lin and Greiner, Horst and Pomplun, Jan and Hammerschmidt, Martin and Burger, Sven and Schmidt, Frank}, title = {FEM simulations of light extraction from nanostructured organic light-emitting diodes}, series = {Renewable Energy and the Environment Optics and Photonics Congress}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/SOLED.2012.LT2B.5}, pages = {LT2B.5}, year = {2012}, language = {en} } @article{BeckerWyssEisenhaueretal., author = {Becker, Christiane and Wyss, Philippe and Eisenhauer, David and Probst, J{\"u}rgen and Preidel, Veit and Hammerschmidt, Martin and Burger, Sven}, title = {5 x 5 cm2 silicon photonic crystal slabs on glass and plastic foil exhibiting broadband absorption and high-intensity near-fields}, series = {Sci. Rep.}, volume = {4}, journal = {Sci. Rep.}, doi = {10.1038/srep05886}, pages = {5886}, language = {en} } @article{BarthRoderBrodoceanuetal., author = {Barth, Carlo and Roder, Sebastian and Brodoceanu, Daniel and Kraus, Tobias and Hammerschmidt, Martin and Burger, Sven and Becker, Christiane}, title = {Increased fluorescence of PbS quantum dots in photonic crystals by excitation enhancement}, series = {Appl. Phys. Lett.}, volume = {111}, journal = {Appl. Phys. Lett.}, doi = {10.1063/1.4995229}, pages = {031111}, language = {en} } @article{JaegerKoeppelEisenhaueretal., author = {J{\"a}ger, Klaus and K{\"o}ppel, Grit and Eisenhauer, David and Chen, Duote and Hammerschmidt, Martin and Burger, Sven and Becker, Christiane}, title = {Optical simulations of advanced light management for liquid-phase crystallized silicon thin-film solar cells}, series = {Proc. SPIE}, volume = {10356}, journal = {Proc. SPIE}, doi = {10.1117/12.2273994}, pages = {103560F}, language = {en} } @article{GutschePoulikakosHammerschmidtetal., author = {Gutsche, Philipp and Poulikakos, Lisa and Hammerschmidt, Martin and Burger, Sven and Schmidt, Frank}, title = {Time-harmonic optical chirality in inhomogeneous space}, series = {Proc. SPIE}, volume = {9756}, journal = {Proc. SPIE}, doi = {10.1117/12.2209551}, pages = {97560X}, language = {en} } @misc{GutschePoulikakosBurgeretal., author = {Gutsche, Philipp and Poulikakos, Lisa and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank}, title = {Optical chirality: conservation law in arbitrary space}, series = {606. WE-Heraeus-Seminar on Nanophotonics and Complex Spatial Modes of Light}, journal = {606. WE-Heraeus-Seminar on Nanophotonics and Complex Spatial Modes of Light}, abstract = {The introduction of the near-field quantity of optical chirality has emerged in various numerical and few experimental studies of local chirality enhancement due to its relation to the excitation rate of chiral molecules. This time-even pseudoscalar has been dismissed as being a higher-order version of helicity. Nevertheless, we revisit the derivation of the underlying conservation law and define optical chirality in media similar to. We identify the mechanism of chirality conversion by either inhomogeneous or anisotropic space to complement the conservation of optical chirality. The conservation law of optical chirality in arbitrary space enables the extension of the concept of polarization to the near-field where no distiniguished propagation direction of light is present. We show that the connection of electromagnetic energy and optical chirality provide the ability to define a circular polarization basis in time-harmonic near-field analysis. In order to illustrate our theory, we present electromagnetic field simulations of simple as well as more complex nanostructures. Results using the well-known far-field polarization concept are readily reproduced and extended from the point of view of chirality conversion.}, language = {en} } @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{JaegerBarthHammerschmidtetal., 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}, series = {Opt. Express}, volume = {24}, journal = {Opt. Express}, doi = {10.1364/OE.24.00A569}, pages = {A569}, language = {en} } @phdthesis{Hammerschmidt, 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}, 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} } @inproceedings{JaegerHammerschmidtKoeppeletal., author = {J{\"a}ger, Klaus and Hammerschmidt, Martin and K{\"o}ppel, Grit and Burger, Sven and Becker, Christiane}, title = {On Accurate Simulations of Thin-Film Solar Cells With a Thick Glass Superstrate}, series = {Light, Energy and the Environment 2016}, booktitle = {Light, Energy and the Environment 2016}, doi = {10.1364/PV.2016.PM3B.5}, pages = {PM3B.5}, language = {en} } @inproceedings{MangalgiriŠiškinsArslanovaetal., author = {Mangalgiri, Gauri and Šiškins, Makars and Arslanova, Alina and Hammerschmidt, Martin and Manley, Phillip and Riedel, Wiebke and Schmid, Martina}, title = {Highly Transmittive Broadband Dielectric Nanoholes}, series = {CLEO}, booktitle = {CLEO}, doi = {10.1364/CLEO_AT.2017.JTu5A.117}, pages = {JTu5A.117}, language = {en} } @inproceedings{JaegerKoeppelHammerschmidtetal., author = {J{\"a}ger, Klaus and K{\"o}ppel, Grit and Hammerschmidt, Martin and Burger, Sven and Becker, Christiane}, title = {Accurate optical simulations of periodic nanostructures on a thick glass substrate}, series = {29th Workshop on Quantum Solar Energy Conversion - (QUANTSOL)}, booktitle = {29th Workshop on Quantum Solar Energy Conversion - (QUANTSOL)}, language = {en} } @misc{HammerschmidtDoepkingBurgeretal., author = {Hammerschmidt, Martin and D{\"o}pking, Sandra and Burger, Sven and Matera, Sebastian}, title = {Field Heterogeneities and their Impact on Photocatalysis: Combining optical and kinetic Monte Carlo Simulations on the Nanoscale}, issn = {1438-0064}, doi = {10.1021/acs.jpcc.9b11469}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-63690}, abstract = {Gaining insights into the working principles of photocatalysts on an atomic scale is a challenging task. The obviously high complexity of the reaction mechanism involving photo-excited electrons and holes is one reason. Another complicating aspect is that the electromagnetic field, driving photocatalysis, is not homogeneous on a nanoscale level for particle based catalysts as it is influenced by the particle's shape and size. We present a simple model, inspired by the CO2 reduction on titania anatase, which addresses the impact of these heterogeneities on the photocatalytic kinetics by combining kinetic Monte Carlo with electromagnetic wave simulations. We find that average activity and especially efficiency might differ significantly between different particles. Moreover, we find sizable variation of the catalytic activity on a single facet of a nanocrystal. Besides this quantitative heterogeneity, the coverage situation in general changes laterally on this facet and we observe a concomitant change of the rate-determining steps. This heterogeneity on all levels of photocatalytic activity is masked in experimental studies, where only the spatially averaged activity can be addressed. Microkinetic models based on experimental findings might therefore not represent the true micro- scopic behavior, and mechanistic conclusion drawn from these need to be handled with care.}, language = {en} } @misc{HammerschmidtPomplunBurgeretal., author = {Hammerschmidt, Martin and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Adaptive sampling strategies for efficient parameter scans in nano-photonic device simulations}, issn = {1438-0064}, doi = {10.1117/12.2036363}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-50395}, abstract = {Rigorous optical simulations are an important tool in optimizing scattering properties of nano-photonic devices and are used, for example, in solar cell optimization. The finite element method (FEM) yields rigorous, time-harmonic, high accuracy solutions of the full 3D vectorial Maxwell's equations [1] and furthermore allows for great flexibility and accuracy in the geometrical modeling of these often complex shaped 3D nano-structures. A major drawback of frequency domain methods is the limitation of single frequency evaluations. For example the accurate computation of the short circuit current density of an amorphous silicon / micro-crystalline multi-junction thin film solar cell may require the solution of Maxwell's equations for over a hundred different wavelengths if an equidistant sampling strategy is employed. Also in optical metrology, wavelength scans are frequently used to reconstruct unknown geometrical and material properties of optical systems numerically from measured scatterometric data. In our contribution we present several adaptive numerical integration and sampling routines and study their efficiency in the context of the determination of generation rate profiles of solar cells. We show that these strategies lead to a reduction in the computational effort without loss of accuracy. We discuss the employment of tangential information in a Hermite interpolation scheme to achieve similar accuracy on coarser grids. We explore the usability of these strategies for scatterometry and solar cell simulations.}, language = {en} } @misc{HammerschmidtLockauZschiedrichetal., author = {Hammerschmidt, Martin and Lockau, Daniel and Zschiedrich, Lin and Schmidt, Frank}, title = {Optical modelling of incoherent substrate light-trapping in silicon thin film multi-junction solar cells with finite elements and domain decomposition}, issn = {1438-0064}, doi = {10.1117/12.2036346}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-50410}, abstract = {In many experimentally realized applications, e.g. photonic crystals, solar cells and light-emitting diodes, nano-photonic systems are coupled to a thick substrate layer, which in certain cases has to be included as a part of the optical system. The finite element method (FEM) yields rigorous, high accuracy solutions of full 3D vectorial Maxwell's equations [1] and allows for great flexibility and accuracy in the geometrical modelling. Time-harmonic FEM solvers have been combined with Fourier methods in domain decomposition algorithms to compute coherent solutions of these coupled system. [2,3] The basic idea of a domain decomposition approach lies in a decomposition of the domain into smaller subdomains, separate calculations of the solutions and coupling of these solutions on adjacent subdomains. In experiments light sources are often not perfectly monochromatic and hence a comparision to simulation results might only be justified if the simulation results, which include interference patterns in the substrate, are spectrally averaged. In this contribution we present a scattering matrix domain decomposition algorithm for Maxwell's equations based on FEM. We study its convergence and advantages in the context of optical simulations of silicon thin film multi-junction solar cells. This allows for substrate light-trapping to be included in optical simulations and leads to a more realistic estimation of light path enhancement factors in thin-film devices near the band edge.}, language = {en} } @inproceedings{LockauHammerschmidtHaschkeetal., author = {Lockau, Daniel and Hammerschmidt, Martin and Haschke, Jan and Blome, Mark and Ruske, Florian and Schmidt, Frank and Rech, Bernd}, title = {A comparison of scattering and non-scattering anti-reflection designs for back contacted polycrystalline thin film silicon solar cells in superstrate configuration}, series = {Proc. SPIE}, volume = {9140}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2052362}, pages = {914006}, language = {en} } @misc{LockauHammerschmidtBlomeetal., author = {Lockau, Daniel and Hammerschmidt, Martin and Blome, Mark and Schmidt, Frank}, title = {Optics of thin film solar cells}, series = {MATHEON-Mathematics for Key Technologies}, volume = {1}, journal = {MATHEON-Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {278 -- 279}, language = {en} } @article{JaegerKoeppelHammerschmidtetal., author = {J{\"a}ger, Klaus and K{\"o}ppel, Grit and Hammerschmidt, Martin and Burger, Sven and Becker, Christiane}, title = {On accurate simulations of thin-film solar cells with a thick glass superstrate}, series = {Opt. Express}, volume = {26}, journal = {Opt. Express}, doi = {10.1364/OE.26.000A99}, pages = {A99}, language = {en} } @article{ChenManleyTockhornetal., author = {Chen, Duote and Manley, Phillip and Tockhorn, Philipp and Eisenhauer, David and K{\"o}ppel, Grit and Hammerschmidt, Martin and Burger, Sven and Albrecht, Steve and Becker, Christiane and J{\"a}ger, Klaus}, title = {Nanophotonic Light Management for Perovskite-Silicon Tandem Solar Cells}, series = {J. Photonics Energy}, volume = {8}, journal = {J. Photonics Energy}, doi = {10.1117/1.JPE.8.022601}, pages = {022601}, language = {en} } @article{HammerschmidtPabisiakPerezGeaetal., author = {Hammerschmidt, Martin and Pabisiak, Jakub and Perez-Gea, Ana Cristina and Julian, Nicolas and Hon, Sean and Burger, Sven}, title = {Efficient finite-element-based numerical modelling of large sub-wavelength patterned optical structures}, series = {Proc. SPIE}, volume = {10542}, journal = {Proc. SPIE}, doi = {10.1117/12.2292438}, pages = {105421G}, language = {en} } @inproceedings{JaegerBarthHammerschmidtetal., 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}, series = {28th Workshop on Quantum Solar Energy Conversion - (QUANTSOL)}, booktitle = {28th Workshop on Quantum Solar Energy Conversion - (QUANTSOL)}, editor = {European Society for Quantum Solar Energy Conversion,}, language = {en} } @article{BarthProbstHerrmannetal., 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}, series = {Proc. SPIE}, volume = {9885}, journal = {Proc. SPIE}, doi = {10.1117/12.2227094}, pages = {988506}, 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., 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}, series = {Proc. SPIE}, volume = {9898}, journal = {Proc. SPIE}, doi = {10.1117/12.2225459}, pages = {989808}, 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} } @inproceedings{BurgerHammerschmidtHerrmannetal., 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}, series = {Proc. Int. Conf. Numerical Simulation of Optoelectronic Devices (NUSOD)}, booktitle = {Proc. Int. Conf. Numerical Simulation of Optoelectronic Devices (NUSOD)}, doi = {10.1109/NUSOD.2015.7292871}, pages = {159}, language = {en} } @inproceedings{JaegerBarthHammerschmidtetal., 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}, series = {Light, Energy and the Environement 2015}, booktitle = {Light, Energy and the Environement 2015}, doi = {10.1364/PV.2015.PTu4B.3}, pages = {PTu4B.3}, language = {en} } @inproceedings{BarthJaegerBurgeretal., author = {Barth, Carlo and J{\"a}ger, Klaus and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank and Becker, Christiane}, title = {Design of Photonic Crystals with Near-Surface Field Enhancement}, series = {Light, Energy and the Environement 2015}, booktitle = {Light, Energy and the Environement 2015}, doi = {10.1364/PV.2015.JTu5A.9}, pages = {JTu5A.9}, language = {en} } @article{LockauSontheimerPreideletal., author = {Lockau, Daniel and Sontheimer, Tobias and Preidel, Veit and Ruske, Florian and Hammerschmidt, Martin and Becker, Christiane and Schmidt, Frank and Rech, Bernd}, title = {Advanced microhole arrays for light trapping in thin film silicon solar cells}, series = {Solar Energy Materials and Solar Cells}, volume = {125}, journal = {Solar Energy Materials and Solar Cells}, doi = {10.1016/j.solmat.2013.11.024}, pages = {298 -- 304}, language = {en} } @article{KirnerHammerschmidtSchwankeetal.2014, author = {Kirner, Simon and Hammerschmidt, Martin and Schwanke, Christoph and Lockau, Daniel and Calnan, Sonya and Frijnts, Tim and Neubert, Sebastian and Sch{\"o}pke, Andreas and Schmidt, Frank and Zollondz, Jens-Hendrik and Heidelberg, Andreas and Stannowski, Bernd and Rech, Bernd and Schlatmann, Rutger}, title = {Implications of TCO Topography on Intermediate Reflector Design for a-Si/μc-Si Tandem Solar Cells — Experiments and Rigorous Optical Simulations}, series = {IEEE Journal of Photovoltaics}, volume = {4}, journal = {IEEE Journal of Photovoltaics}, number = {1}, doi = {10.1109/JPHOTOV.2013.2279204}, pages = {10 -- 15}, year = {2014}, language = {en} } @inproceedings{HammerschmidtPomplunBurgeretal.2014, author = {Hammerschmidt, Martin and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Adaptive sampling strategies for effcient parameter scans in nano-photonic device simulations}, series = {Proc. SPIE}, volume = {8980}, booktitle = {Proc. SPIE}, publisher = {SPIE}, doi = {10.1117/12.2036363}, pages = {89801O}, year = {2014}, language = {en} } @inproceedings{HammerschmidtLockauZschiedrichetal.2014, author = {Hammerschmidt, Martin and Lockau, Daniel and Zschiedrich, Lin and Schmidt, Frank}, title = {Optical modelling of incoherent substrate light-trapping in silicon thin film multi-junction solar cells with finite elements and domain decomposition}, series = {Proc. SPIE: Physics and Simulation of Optoelectronic Devices XXII}, volume = {8980}, booktitle = {Proc. SPIE: Physics and Simulation of Optoelectronic Devices XXII}, publisher = {SPIE}, doi = {10.1117/12.2036346}, pages = {898007}, year = {2014}, language = {en} } @misc{HammerschmidtHerrmannPomplunetal., author = {Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank}, title = {Reduced basis method for Maxwell's equations with resonance phenomena}, series = {Proc. SPIE}, volume = {9630}, journal = {Proc. SPIE}, issn = {1438-0064}, doi = {10.1117/12.2190425}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-55687}, pages = {96300R}, abstract = {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.}, language = {en} } @inproceedings{HammerschmidtZschiedrichSchneideretal., author = {Hammerschmidt, Martin and Zschiedrich, Lin and Schneider, Philipp-Immanuel and Binkowski, Felix and Burger, Sven}, title = {Numerical optimization of resonant photonic devices}, series = {Proc. SPIE}, volume = {11057}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2534348}, pages = {1105702}, language = {en} } @article{PakhomovLoechnerZschiedrichetal., author = {Pakhomov, Anton and L{\"o}chner, Franz and Zschiedrich, Lin and Saravi, Sina and Hammerschmidt, Martin and Burger, Sven and Pertsch, Thomas and Setzpfand, Frank}, title = {Far-field polarization signatures of surface optical nonlinearity in noncentrosymmetric semiconductors}, series = {Sci. Rep.}, volume = {10}, journal = {Sci. Rep.}, doi = {10.1038/s41598-020-67186-0}, pages = {10545}, language = {en} } @article{BinkowskiBetzColometal., author = {Binkowski, Felix and Betz, Fridtjof and Colom, R{\´e}mi and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Quasinormal mode expansion of optical far-field quantities}, series = {Phys. Rev. B}, volume = {102}, journal = {Phys. Rev. B}, doi = {10.1103/PhysRevB.102.035432}, pages = {035432}, language = {en} } @article{FarchminHammerschmidtSchneideretal., author = {Farchmin, Nando and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Wurm, Matthias and Bodermann, Bernd and B{\"a}r, Markus and Heidenreich, Sebastian}, title = {Efficient Bayesian inversion for shape reconstruction of lithography masks}, series = {J. Micro/Nanolith. MEMS MOEMS}, volume = {19}, journal = {J. Micro/Nanolith. MEMS MOEMS}, doi = {10.1117/1.JMM.19.2.024001}, pages = {024001}, language = {en} } @article{HammerschmidtDoepkingBurgeretal., author = {Hammerschmidt, Martin and D{\"o}pking, Sandra and Burger, Sven and Matera, Sebastian}, title = {Field Heterogeneities and Their Impact on Photocatalysis: Combining Optical and Kinetic Monte Carlo Simulations on the Nanoscale}, series = {J. Phys. Chem. C}, volume = {124}, journal = {J. Phys. Chem. C}, doi = {10.1021/acs.jpcc.9b11469}, pages = {3177}, language = {en} } @article{ManleyWaldeHagedornetal., author = {Manley, Phillip and Walde, Sebastian and Hagedorn, Sylvia and Hammerschmidt, Martin and Burger, Sven and Becker, Christiane}, title = {Nanopatterned Sapphire Substrates in Deep-UV LEDs: Is there an Optical Benefit?}, series = {Opt. Express}, volume = {28}, journal = {Opt. Express}, doi = {10.1364/OE.379438}, pages = {3619}, language = {en} } @article{JaegerSutterHammerschmidtetal., author = {J{\"a}ger, Klaus and Sutter, Johannes and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Becker, Christiane}, title = {Prospects of light management in perovskite/silicon tandem solar cells}, series = {Nanophotonics}, volume = {10}, journal = {Nanophotonics}, doi = {10.1515/nanoph-2020-0674}, pages = {1991}, language = {en} } @article{PakhomovHammerschmidtBurgeretal., author = {Pakhomov, Anton V. and Hammerschmidt, Martin and Burger, Sven and Pertsch, Thomas and Setzpfand, Frank}, title = {Modeling of surface-induced second-harmonic generation from multilayer structures by the transfer matrix method}, series = {Opt. Express}, volume = {29}, journal = {Opt. Express}, doi = {10.1364/OE.417066}, pages = {9098}, language = {en} } @article{ManleySegantiniAhibozetal., author = {Manley, Phillip and Segantini, Michele and Ahiboz, Doguscan and Hammerschmidt, Martin and Arnaoutakis, Georgios and MacQueen, Rowan W. and Burger, Sven and Becker, Christiane}, title = {Double-layer metasurface for enhanced photon up-conversion}, series = {APL Photon.}, volume = {6}, journal = {APL Photon.}, doi = {10.1063/5.0040839}, pages = {036103}, language = {en} } @inproceedings{BinkowskiBetzColometal., author = {Binkowski, Felix and Betz, Fridtjof and Colom, R{\´e}mi and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Modal expansion of optical far-field quantities using quasinormal modes}, series = {EPJ Web Conf.}, volume = {238}, booktitle = {EPJ Web Conf.}, doi = {10.1051/epjconf/202023805007}, pages = {05007}, language = {en} } @inproceedings{ColomBinkowskiBetzetal., author = {Colom, R{\´e}mi and Binkowski, Felix and Betz, Fridtjof and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Quasi-normal mode expansion as a tool for the design of nanophotonic devices}, series = {EPJ Web Conf.}, volume = {238}, booktitle = {EPJ Web Conf.}, doi = {10.1051/epjconf/202023805008}, pages = {05008}, language = {en} } @inproceedings{BarthRoderBrodoceanuetal., author = {Barth, Carlo and Roder, Sebastian and Brodoceanu, Daniel and Kraus, Tobias and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank and Becker, Christiane}, title = {Increased fluorescence of PbS quantum dots on photonic crystal slab structures}, 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 = {181}, language = {en} } @inproceedings{HammerschmidtBarthBurgeretal., author = {Hammerschmidt, Martin and Barth, Carlo and Burger, Sven and Becker, Christiane and Schmidt, Frank}, title = {Determining 2D photonic crystal geometries from reflectance spectra with a reduced basis method}, 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 = {281}, language = {en} } @article{SchneiderHammerschmidtZschiedrichetal., author = {Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Using Gaussian process regression for efficient parameter reconstruction}, series = {Proc. SPIE}, volume = {10959}, journal = {Proc. SPIE}, doi = {10.1117/12.2513268}, pages = {1095911}, language = {en} } @article{BinkowskiZschiedrichHammerschmidtetal., author = {Binkowski, Felix and Zschiedrich, Lin and Hammerschmidt, Martin and Burger, Sven}, title = {Modal analysis for nanoplasmonics with nonlocal material properties}, series = {Phys. Rev. B}, volume = {100}, journal = {Phys. Rev. B}, doi = {10.1103/PhysRevB.100.155406}, pages = {155406}, language = {en} } @article{AndrleHoenickeSchneideretal., author = {Andrle, Anna and H{\"o}nicke, Philipp and Schneider, Philipp-Immanuel and Kayser, Yves and Hammerschmidt, Martin and Burger, Sven and Scholze, Frank and Beckhoff, Burkhard and Soltwisch, Victor}, title = {Grazing incidence x-ray fluorescence based characterization of nanostructures for element sensitive profile reconstruction}, series = {Proc. SPIE}, volume = {11057}, journal = {Proc. SPIE}, doi = {10.1117/12.2526082}, pages = {110570M}, language = {en} } @article{FarchminHammerschmidtSchneideretal., author = {Farchmin, Nando and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Wurm, Matthias and B{\"a}r, Markus and Heidenreich, Sebastian}, title = {Efficient global sensitivity analysis for silicon line gratings using polynomial chaos}, series = {Proc. SPIE}, volume = {11057}, journal = {Proc. SPIE}, doi = {10.1117/12.2525978}, pages = {110570J}, language = {en} } @article{SchneiderSantiagoSoltwischetal., author = {Schneider, Philipp-Immanuel and Santiago, Xavier Garcia and Soltwisch, Victor and Hammerschmidt, Martin and Burger, Sven and Rockstuhl, Carsten}, title = {Benchmarking five global optimization approaches for nano-optical shape optimization and parameter reconstruction}, series = {ACS Photonics}, volume = {6}, journal = {ACS Photonics}, doi = {10.1021/acsphotonics.9b00706}, pages = {2726}, language = {en} } @article{PfluegerKlineFernandezHerreroetal., author = {Pfl{\"u}ger, Mika and Kline, R. Joseph and Fern{\´a}ndez Herrero, Analia and Hammerschmidt, Martin and Soltwisch, Victor and Krumrey, Michael}, title = {Extracting dimensional parameters of gratings produced with self-aligned multiple patterning using grazing-incidence small-angle x-ray scattering}, series = {J. Micro Nanolithogr. MEMS MOEMS}, volume = {19}, journal = {J. Micro Nanolithogr. MEMS MOEMS}, doi = {10.1117/1.JMM.19.1.014001}, pages = {014001}, language = {en} } @inproceedings{ManleyHammerschmidtBurgeretal., author = {Manley, Phillip and Hammerschmidt, Martin and Burger, Sven and Becker, Christiane}, title = {Nanophotonic Enhancement of Light Out-Coupling for Deep-UV LEDs}, series = {The 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2019)}, booktitle = {The 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2019)}, editor = {Zhoudi, Said and Topa, Antonio}, issn = {2429-1390}, pages = {745}, language = {en} } @inproceedings{BinkowskiZschiedrichSchneideretal., author = {Binkowski, Felix and Zschiedrich, Lin and Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Santiago, Xavier Garcia and Betz, Fridtjof and Burger, Sven}, title = {Spectral Expansion of the Scattering Response of Resonant Nanostructures}, series = {EOS Topical Meeting on Diffractive Optics}, booktitle = {EOS Topical Meeting on Diffractive Optics}, editor = {Saastamoinen, Kimmo}, isbn = {978-952-68553-8-7}, pages = {1}, language = {en} } @inproceedings{BinkowskiSchneiderHammerschmidtetal., author = {Binkowski, Felix and Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Numerical optimization of resonant nanophotonic devices}, series = {The Seventh International School and Conference on Photonics (PHOTONICA Belgrade)}, booktitle = {The Seventh International School and Conference on Photonics (PHOTONICA Belgrade)}, editor = {Matijević, Milica and Krstić, Marko and Beličev, Petra}, isbn = {978-86-7306-153-5}, pages = {10}, language = {en} } @article{SantiagoHammerschmidtBurgeretal., author = {Santiago, Xavier Garcia and Hammerschmidt, Martin and Burger, Sven and Rockstuhl, Carsten and Fernandez-Corbaton, Ivan and Zschiedrich, Lin}, title = {Decomposition of scattered electromagnetic fields into vector spherical wave functions on surfaces with general shapes}, series = {Phys. Rev. B}, volume = {99}, journal = {Phys. Rev. B}, doi = {10.1103/PhysRevB.99.045406}, pages = {045406}, language = {en} } @inproceedings{JaegerManleyEisenhaueretal., author = {J{\"a}ger, Klaus and Manley, Phillip and Eisenhauer, David and Tockhorn, Philipp and Sutter, Johannes and Hammerschmidt, Martin and Burger, Sven and Albrecht, Steve and Becker, Christiane}, title = {Light management with sinusoidal nanotextures}, series = {Light, Energy and the Environment 2018}, booktitle = {Light, Energy and the Environment 2018}, doi = {10.1364/OSE.2018.OT5C.5}, pages = {OT5C.5}, language = {en} } @inproceedings{SchneiderSantiagoBinkowskietal., author = {Schneider, Philipp-Immanuel and Santiago, Xavier Garcia and Binkowski, Felix and Gutsche, Philipp and H{\"o}hne, Theresa and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Light Management for Engineering Luminescence in Nanoscale Environments By Numerical Optimization}, series = {The Electrochemical Society, Meeting Abstracts}, volume = {16}, booktitle = {The Electrochemical Society, Meeting Abstracts}, issn = {2151-2043}, doi = {10.1149/MA2018-01/16/1164}, pages = {1164}, language = {en} } @article{JaegerManleyChenetal., author = {J{\"a}ger, Klaus and Manley, Phillip and Chen, Duote and Tockhorn, Philipp and Eisenhauer, David and K{\"o}ppel, Grit and Hammerschmidt, Martin and Burger, Sven and Albrecht, Steve and Becker, Christiane}, title = {Antireflective nanotextures for monolithic perovskite-silicon tandem solar cells}, series = {Proc. SPIE}, volume = {10688}, journal = {Proc. SPIE}, doi = {10.1117/12.2306142}, pages = {106880A}, language = {en} } @misc{PfluegerKlineFernandezHerreroetal., author = {Pfl{\"u}ger, Mika and Kline, R Joseph and Fern{\´a}ndez Herrero, Anal{\´i}a and Hammerschmidt, Martin and Soltwisch, Victor and Krumrey, Michael}, title = {Extracting dimensional parameters of gratings produced with self-aligned multiple patterning using grazing-incidence small-angle x-ray scattering [Source Code]}, doi = {10.24433/CO.0953516.v2}, language = {en} } @misc{JaegerSutterSchneideretal., author = {J{\"a}ger, Klaus and Sutter, Johannes and Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Becker, Christiane}, title = {Optical simulations of nanotextured perovskite/silicon tandem solar cell}, series = {HZB Data Service}, journal = {HZB Data Service}, doi = {10.5442/ND000005}, language = {en} } @article{TorunSchneiderHammerschmidtetal., author = {Torun, Cem G{\"u}ney and Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Burger, Sven and Munns, Joseph H.D. and Schr{\"o}der, Tim}, title = {Optimized diamond inverted nanocones for enhanced color center to fiber coupling}, series = {Appl. Phys. Lett.}, volume = {118}, journal = {Appl. Phys. Lett.}, doi = {10.1063/5.0050338}, pages = {234002}, language = {en} } @article{GarciaSantiagoHammerschmidtSachsetal., author = {Garcia Santiago, Xavier and Hammerschmidt, Martin and Sachs, Johannes and Burger, Sven and Kwon, Hyunah and Kn{\"o}ller, Marvin and Arens, Tilo and Fischer, Peer and Fernandez-Corbaton, Ivan and Rockstuhl, Carsten}, title = {Toward maximally electromagnetically chiral scatterers at optical frequencies}, series = {ACS Photonics}, volume = {9}, journal = {ACS Photonics}, doi = {10.1021/acsphotonics.1c01887}, pages = {1954}, 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{JaegerSutterTockhornetal., author = {J{\"a}ger, Klaus and Sutter, Johannes and Tockhorn, Philipp and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Albrecht, Steve and Becker, Christiane}, title = {Improving perovskite/silicon tandem solar cells with optical simulations}, series = {Proc. SPIE}, volume = {PC12150}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2621255}, pages = {PC1215001}, language = {en} } @article{BinkowskiBetzHammerschmidtetal., author = {Binkowski, Felix and Betz, Fridtjof and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Zschiedrich, Lin and Burger, Sven}, title = {Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators}, series = {Commun. Phys.}, volume = {5}, journal = {Commun. Phys.}, doi = {10.1038/s42005-022-00977-1}, pages = {202}, language = {en} } @article{BetzBinkowskiHammerschmidtetal., author = {Betz, Fridtjof and Binkowski, Felix and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Resonance expansion of quadratic quantities with regularized quasinormal modes}, series = {Phys. Status Solidi A}, volume = {220}, journal = {Phys. Status Solidi A}, doi = {10.1002/pssa.202200892}, pages = {2200892}, language = {en} } @inproceedings{BinkowskiBetzColometal., author = {Binkowski, Felix and Betz, Fridtjof and Colom, Remi and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Zschiedrich, Lin and Burger, Sven}, title = {Contour integral methods for resonance phenomena in nano-optics}, series = {The 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2021)}, booktitle = {The 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2021)}, editor = {Zouhdi, S. and Pawlak, D. and Kudelski, A.}, issn = {2429-1390}, pages = {523}, language = {en} } @misc{BetzBinkowskiHammerschmidtetal., author = {Betz, Fridtjof and Binkowski, Felix and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Source code and simulation results for computing resonance expansions of quadratic quantities with regularized quasinormal modes}, series = {Zenodo}, journal = {Zenodo}, doi = {10.5281/zenodo.7376556}, language = {en} } @misc{BinkowskiBetzHammerschmidtetal., author = {Binkowski, Felix and Betz, Fridtjof and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Zschiedrich, Lin and Burger, Sven}, title = {Source code and simulation data for Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators}, series = {Zenodo}, journal = {Zenodo}, doi = {10.5281/zenodo.6614951}, language = {en} } @inproceedings{BinkowskiBetzHammerschmidtetal., author = {Binkowski, Felix and Betz, Fridtjof and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and Zschiedrich, Lin and Burger, Sven}, title = {Numerical methods for the investigation of resonances in nanophotonics}, series = {The 12th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2022)}, booktitle = {The 12th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2022)}, editor = {Zouhdi, S.}, issn = {2429-1390}, pages = {247}, language = {en} } @inproceedings{KruegerManleyZschiedrichetal., author = {Kr{\"u}ger, Jan and Manley, Phillip and Zschiedrich, Lin and Hammerschmidt, Martin and Schneider, Philipp-Immanuel and K{\"o}ning, Rainer and Bodermann, Bernd}, title = {Untersuchung des Schwingungseinflusses auf gemessene Punktspreizfunktionen in der optischen Mikroskopie}, series = {Proc. DGaO}, booktitle = {Proc. DGaO}, url = {http://nbn-resolving.de/urn:nbn:de:0287-2022-P005-6}, pages = {P5}, language = {en} } @inproceedings{ManleyKruegerZschiedrichetal., author = {Manley, Phillip and Kr{\"u}ger, Jan and Zschiedrich, Lin and Hammerschmidt, Martin and Bodermann, Bernd and K{\"o}ning, Rainer and Schneider, Philipp-Immanuel}, title = {Elementary, my dear Zernike: model order reduction for accelerating optical dimensional microscopy}, series = {EPJ Web Conf.}, volume = {266}, booktitle = {EPJ Web Conf.}, doi = {10.1051/epjconf/202226610010}, pages = {10010}, language = {en} } @article{BetzBinkowskiHammerschmidtetal., author = {Betz, Fridtjof and Binkowski, Felix and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven}, title = {Cover Picture: Resonance Expansion of Quadratic Quantities with Regularized Quasinormal Modes}, series = {Phys. Status Solidi A}, volume = {220}, journal = {Phys. Status Solidi A}, doi = {10.1002/pssa.202370013}, pages = {2370013}, language = {en} } @article{PlockHammerschmidtBurgeretal., author = {Plock, Matthias and Hammerschmidt, Martin and Burger, Sven and Schneider, Philipp-Immanuel and Sch{\"u}tte, Christof}, title = {Impact Study of Numerical Discretization Accuracy on Parameter Reconstructions and Model Parameter Distributions}, series = {Metrologia}, volume = {60}, journal = {Metrologia}, doi = {10.1088/1681-7575/ace4cd}, pages = {054001}, abstract = {In optical nano metrology numerical models are used widely for parameter reconstructions. Using the Bayesian target vector optimization method we fit a finite element numerical model to a Grazing Incidence x-ray fluorescence data set in order to obtain the geometrical parameters of a nano structured line grating. Gaussian process, stochastic machine learning surrogate models, were trained during the reconstruction and afterwards sampled with a Markov chain Monte Carlo sampler to determine the distribution of the reconstructed model parameters. The numerical discretization parameters of the used finite element model impact the numerical discretization error of the forward model. We investigated the impact of the polynomial order of the finite element ansatz functions on the reconstructed parameters as well as on the model parameter distributions. We showed that such a convergence study allows to determine numerical parameters which allows for efficient and accurate reconstruction results.}, language = {en} } @inproceedings{ManleyKruegerBodermannetal., author = {Manley, Phillip and Kr{\"u}ger, Jan and Bodermann, Bernd and K{\"o}ning, Rainer and Heinrich, Andreas and Eder, Christian and Goehnermeier, Aksel and Zeiser, Ulrike and Hammerschmidt, Martin and Zschiedrich, Lin and Schneider, Philipp-Immanuel}, title = {Efficient simulation of microscopic imaging for reconstruction of nanostructures}, series = {Proc. SPIE}, volume = {PC12619}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2673077}, pages = {PC126190B}, language = {en} } @inproceedings{HammerschmidtZschiedrichSiaudinyteetal., author = {Hammerschmidt, Martin and Zschiedrich, Lin and Siaudinyt{\´e}, Lauryna and Manley, Phillip and Schneider, Philipp-Immanuel and Burger, Sven}, title = {Forward simulation of coherent beams on grating structures for coherent scatterometry}, series = {Proc. SPIE}, volume = {PC12619}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2673231}, pages = {PC1261907}, language = {en} } @inproceedings{KuenBetzBinkowskietal., author = {Kuen, Lilli and Betz, Fridtjof and Binkowski, Felix and Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Heermeier, Niels and Rodt, Sven and Reitzenstein, Stephan and Burger, Sven}, title = {Applying a Riesz-projection-based contour integral eigenvalue solver to compute resonance modes of a VCSEL}, series = {Proc. SPIE}, volume = {12575}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2665490}, pages = {125750J}, language = {en} } @article{TillmannBlaesiBurgeretal., author = {Tillmann, Peter and Bl{\"a}si, Benedikt and Burger, Sven and Hammerschmidt, Martin and H{\"o}hn, Oliver and Becker, Christiane and J{\"a}ger, Klaus}, title = {Optimizing metal grating back reflectors for III-V-on-silicon multijunction solar cells}, series = {Opt. Express}, volume = {29}, journal = {Opt. Express}, doi = {10.1364/OE.426761}, pages = {22517}, language = {en} } @inproceedings{SchneiderZschiedrichHammerschmidtetal., author = {Schneider, Philipp-Immanuel and Zschiedrich, Lin and Hammerschmidt, Martin and Kuen, Lilli and Sekuliĉ, Ivan and Kluge, Julien and Leykauf, Bastian and Krutzik, Markus and Burger, Sven}, title = {Boosting quantum optics experiments with Bayesian optimization}, series = {Proc. SPIE}, volume = {12227}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2632419}, pages = {122270F}, language = {en} } @article{BetzHammerschmidtZschiedrichetal., author = {Betz, Fridtjof and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven and Binkowski, Felix}, title = {Efficient rational approximation of optical response functions with the AAA algorithm}, series = {arXiv}, journal = {arXiv}, pages = {arXiv:2403.19404}, language = {en} } @misc{BetzHammerschmidtZschiedrichetal., author = {Betz, Fridtjof and Hammerschmidt, Martin and Zschiedrich, Lin and Burger, Sven and Binkowski, Felix}, title = {Source code and simulation results: Efficient rational approximation of optical response functions with the AAA algorithm}, series = {Zenodo}, journal = {Zenodo}, doi = {10.5281/zenodo.10853692}, pages = {doi: 10.5281/zenodo.10853692}, language = {en} }