@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{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} } @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{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{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} } @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} } @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} } @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{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{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} } @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{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} } @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} } @article{ManleyHammerschmidtZschiedrichetal., author = {Manley, Phillip and Hammerschmidt, Martin and Zschiedrich, Lin and J{\"a}ger, Klaus and Becker, Christiane and Burger, Sven}, title = {Modelling luminescent coupling in multi-junction solar cells: perovskite silicon tandem case study}, series = {Proc. SPIE}, volume = {13014}, journal = {Proc. SPIE}, doi = {10.1117/12.3023941}, pages = {1301404}, language = {en} } @article{KruegerManleyBergmannetal., author = {Kr{\"u}ger, Jan and Manley, Phillip and Bergmann, Detlef and K{\"o}ning, Rainer and Bodermann, Bernd and Eder, Christian and Heinrich, Andreas and Schneider, Philipp-Immanuel and Hammerschmidt, Martin and Zschiedrich, Lin and Manske, Eberhard}, title = {Introduction and application of a new approach for model-based optical bidirectional measurements}, series = {Meas. Sci. Technol.}, volume = {35}, journal = {Meas. Sci. Technol.}, number = {8}, doi = {10.1088/1361-6501/ad4b53}, 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 = {Laser Photonics Rev.}, journal = {Laser Photonics Rev.}, language = {en} }