@inproceedings{BurgerZschiedrichPomplunetal.2008, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Schmidt, Frank}, title = {JCMsuite: An Adaptive FEM Solver for Precise Simulations in Nano-Optics}, booktitle = {Integrated Photonics and Nanophotonics Research and Applications}, publisher = {Optical Society of America}, doi = {10.1364/IPNRA.2008.ITuE4}, pages = {ITuE4}, year = {2008}, language = {en} } @article{BurgerZschiedrichSchmidt2010, author = {Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {FEM Simulation of Plasmon Laser Resonances}, volume = {1281}, journal = {AIP Conference Proceedings}, publisher = {AIP}, doi = {10.1063/1.3498131}, pages = {1613 -- 1616}, year = {2010}, language = {en} } @inproceedings{BurgerZschiedrichSchaedleetal.2006, author = {Burger, Sven and Zschiedrich, Lin and Sch{\"a}dle, Achim and Klose, Roland and Kettner, Benjamin and Pomplun, Jan and Pollok, T. and Schmidt, Frank}, title = {Advanced FEM Analysis of Nano-Optical Devices}, booktitle = {Proc. Symposium on Photonics Technologies for the 7th Framework Programme}, year = {2006}, language = {en} } @inproceedings{BurgerZschiedrichSchmidtetal.2007, author = {Burger, Sven and Zschiedrich, Lin and Schmidt, Frank and K{\"o}hle, Roderick and Henkel, Thomas and K{\"u}chler, Bernd and N{\"o}lscher, Christoph}, title = {3D simulations of electromagnetic fields in nanostructures using the time-harmonic finite-element method}, volume = {6617}, booktitle = {Modeling Aspects in Optical Metrology}, editor = {Bosse, Harald}, publisher = {Proc. SPIE}, doi = {10.1117/12.726236}, pages = {66170V}, year = {2007}, language = {en} } @inproceedings{BurgerZschiedrichSchmidtetal.2007, author = {Burger, Sven and Zschiedrich, Lin and Schmidt, Frank and K{\"o}hle, Roderick and K{\"u}chler, Bernd and N{\"o}lscher, Christoph}, title = {EMF Simulations of Isolated and Periodic 3D Photomask Patterns}, volume = {6730}, booktitle = {Photomask Technology}, publisher = {Proc. SPIE}, pages = {6630}, year = {2007}, language = {en} } @inproceedings{BurgerKoehleZschiedrichetal.2005, author = {Burger, Sven and K{\"o}hle, Roderick and Zschiedrich, Lin and Gao, W. and Schmidt, Frank and M{\"a}rz, Reinhard and N{\"o}lscher, Christoph}, title = {Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation}, volume = {5992}, booktitle = {Photomask Technology}, editor = {Weed, J. and Martin, P.}, publisher = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/physics/0601143}, doi = {10.1117/12.631696}, pages = {378 -- 389}, year = {2005}, language = {en} } @inproceedings{BurgerLockauZschiedrichetal.2009, author = {Burger, Sven and Lockau, D. and Zschiedrich, Lin and Schmidt, Frank}, title = {Finite-element simulations of light propagation through subwavelength apertures in metal films}, volume = {XVIII}, booktitle = {International Workshop on Optical Waveguide Theory and Numerical Modelling}, publisher = {Fraunhofer Institute for Applied Optics and Precision Engineering}, pages = {59}, year = {2009}, language = {en} } @incollection{BurgerPomplunSchmidt2012, author = {Burger, Sven and Pomplun, Jan and Schmidt, Frank}, title = {Finite Element Methods for Computational Nano-optics}, booktitle = {Encyclopedia of Nanotechnology}, editor = {Bhushan, B.}, publisher = {Springer Netherlands}, doi = {10.1007/978-90-481-9751-4_17}, pages = {837 -- 843}, year = {2012}, language = {en} } @inproceedings{BurgerSchmidtZschiedrich2003, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {A fast and efficient Finite-Element Solver for 2D and 3D Photonic Band-Gap Problems}, booktitle = {Dig. LEOS/IEEE 2003 Summer Topicals}, doi = {10.1109/LEOSST.2003.1224282}, pages = {75}, year = {2003}, language = {en} } @inproceedings{BurgerZschiedrichSchmidt2010, author = {Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {3D FEM Simulations of High-Q Resonances in Photonic Crystal Microcavities}, booktitle = {Integrated Photonics Research, Silicon and Nanophotonics}, publisher = {OSA}, doi = {10.1364/IPRSN.2010.IWB7}, pages = {IWB7}, year = {2010}, language = {en} } @inproceedings{BurgerSchmidtZschiedrich2010, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {FEM simulation of resonances in low-Q cavities for plasmon lasers}, booktitle = {International Workshop on Photonic Nanomaterials}, editor = {Jena, Friedrich-Schiller-Universit{\"a}t}, isbn = {978-3-00-031358-5}, pages = {36}, year = {2010}, language = {en} } @inproceedings{BurgerSchmidtZschiedrich2010, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {Numerical investigation of optical resonances in circular grating resonators}, volume = {7606}, booktitle = {Silicon Photonics V}, publisher = {Proc. SPIE}, doi = {10.1117/12.842061}, pages = {760610}, year = {2010}, language = {en} } @inproceedings{BurgerSchmidtZschiedrich2010, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {Numerical Investigation of Photonic Crystal Microcavities in Silicon-on-Insulator Waveguides}, volume = {7609}, booktitle = {Photonic and Phononic Crystal Materials and Devices X}, publisher = {Proc. SPIE}, doi = {10.1117/12.841867}, pages = {76091Q}, year = {2010}, language = {en} } @inproceedings{PomplunZschiedrichBurgeretal.2010, author = {Pomplun, Jan and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank and Tyminski, Jacek and Flagello, Donis and Toshiharu, N.}, title = {Reduced basis method for source mask optimization}, volume = {7823}, booktitle = {Photomask Technology}, publisher = {Proc. SPIE}, doi = {10.1117/12.866101}, pages = {78230E}, year = {2010}, language = {en} } @inproceedings{BurgerSchaedleZschiedrichetal.2006, author = {Burger, Sven and Sch{\"a}dle, Achim and Zschiedrich, Lin and Schmidt, Frank}, title = {Advanced FEM Analysis of Nano-Optical Devices}, volume = {6195}, booktitle = {Nanophotonics}, editor = {Andrews, David L. and Nunzi, Jean-Michel and Ostendorf, Andreas}, publisher = {Proc. SPIE}, doi = {10.1117/12.662942}, pages = {72 -- 82}, year = {2006}, language = {en} } @inproceedings{BurgerKloseMaerzetal.2004, author = {Burger, Sven and Klose, Roland and M{\"a}rz, Reinhard and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {Efficient Finite Element Methods for the Design of Microoptical Components}, booktitle = {Proc. Microoptics Conf. 2004}, year = {2004}, language = {en} } @inproceedings{BurgerKloseSchaedleetal.2005, author = {Burger, Sven and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {FEM modelling of 3D photonic crystals and photonic crystal waveguides}, volume = {5728}, booktitle = {Integrated Optics : Devices, Materials and Technologies IX}, editor = {Sidorin, Y. and W{\"a}chter, Christoph}, publisher = {Proc. SPIE}, doi = {10.1117/12.585895}, pages = {164 -- 173}, year = {2005}, language = {en} } @incollection{BurgerKloseSchaedleetal.2006, author = {Burger, Sven and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures}, booktitle = {Scientific Computing in Electrical Engineering}, publisher = {Springer Verlag}, doi = {10.1007/978-3-540-32862-9_24}, pages = {169 -- 175}, year = {2006}, language = {en} } @inproceedings{BurgerKleemannZschiedrichetal.2009, author = {Burger, Sven and Kleemann, B. and Zschiedrich, Lin and Schmidt, Frank}, title = {Finite-Element Simulations of Light Propagation through Circular Subwavelength Apertures}, volume = {7366}, booktitle = {Microtechnologies for the New Millenium}, publisher = {Proc. SPIE}, doi = {10.1117/12.822828}, pages = {736621}, year = {2009}, language = {en} } @inproceedings{BurgerKoehleZschiedrichetal.2006, author = {Burger, Sven and K{\"o}hle, Roderick and Zschiedrich, Lin and Nguyen, H. and Schmidt, Frank and M{\"a}rz, Reinhard and N{\"o}lscher, Christoph}, title = {Rigorous Simulation of 3D Masks}, volume = {6349}, booktitle = {Photomask Technology}, editor = {Martin, P. and Naber, R.}, publisher = {Proc. SPIE}, pages = {63494Z}, year = {2006}, language = {en} } @inproceedings{DeuflhardFrieseSchmidtetal.1996, author = {Deuflhard, Peter and Friese, T. and Schmidt, Frank and M{\"a}rz, Reinhard and Nolting, Hans-Peter}, title = {Effiziente Eigenmodenberechnung f{\"u}r den Entwurf integriert-optischer Chips}, booktitle = {Mathematik - Schl{\"u}sseltechnologie f{\"u}r die Zukunft}, editor = {et al. Hoffmann, K.-H.}, publisher = {Springer Verlag}, pages = {267 -- 279}, year = {1996}, language = {en} } @misc{GutscheJuddSchmidt2014, author = {Gutsche, Philipp and Judd, Thomas and Schmidt, Frank}, title = {A convergence study of different Rigorous Coupled Wave Analysis (RCWA) approaches to time-harmonic electromagnetic scattering problems with applications to nanooptical structures}, journal = {Verhandlungen der Deutschen Physikalischen Gesellschaft (DPG-Fr{\"u}hjahrstagung Berlin 2014)}, year = {2014}, abstract = {Reliable numerical simulations of nano-optical structures are the key for design and pre-fabrication processes in diverse disciplines such as lithography in semiconductor industries, spectroscopy of biological molecules, optimization of quantum dot cavities for single-photon sources, and computation of atomic forces like the Casimir Effect. For these purposes a variety of different methods, e.g. FDTD, FEM and RCWA, are in use. On the one hand, FDTD and FEM are investigated intensively - both in mathematics and numerical experiments - and their approximations and convergence properties are well known. On the other hand, there is a lack of these insights in RCWA. In spite of this, RCWA is commonly used to simulate a wide range of systems. We review historical and modern contributions to convergence improvements with respect to RCWA from the early sugesstions to modern developments. We study the convergence rates of the open-source software S4 and analyze the algorithmic properties in detail. Furthermore, we compare RCWA and FEM simulations for different classes of problems including 1D-binary gratings and 2D-periodic photonic crystals.}, 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} } @misc{HammerschmidtHerrmannPomplunetal.2015, 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}, 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}, year = {2015}, 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{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{ShchukinLedentsovJrKroppetal.2014, author = {Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Steinle, Gunther and Ledentsov, Jr., Nikolay and Burger, Sven and Schmidt, Frank}, title = {Single-Mode Vertical Cavity Surface Emitting Laser via Oxide-Aperture-Engineering of Leakage of High Order Transverse Modes}, volume = {50}, journal = {IEEE J. Quant. Electron.}, number = {12}, doi = {10.1109/JQE.2014.2364544}, pages = {990 -- 995}, year = {2014}, language = {en} } @book{LavrinenkoLaegsgaardGregersenetal.2014, author = {Lavrinenko, Andrei and Laegsgaard, Jesper and Gregersen, Niels and Schmidt, Frank and Soendergaard, Thomas}, title = {Numerical Methods in Photonics}, editor = {Wyant, James C.}, publisher = {CRC Press}, isbn = {9781466563889}, year = {2014}, language = {en} } @inproceedings{LedentsovJrKroppShchukinetal.2015, author = {Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Shchukin, Vitaly and Steinle, Gunther and Ledentsov, Jr., Nikolay and Turkiewicz, Jarek P. and Wu, Bo and Shaofeng, Qiu and Ma, Yanan and Zhiyong, Feng and Burger, Sven and Schmidt, Frank and Caspar, Christoph and Freund, Ronald and Choquette, Kent D.}, title = {High-speed modulation, wavelength, and mode control in vertical-cavity surface-emitting lasers}, volume = {9381}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2082951}, pages = {93810F}, year = {2015}, language = {en} } @inproceedings{ShchukinLedentsovJrKroppetal.2015, author = {Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Steinle, Gunther and Ledentsov, Jr., Nikolay and Choquette, Kent D. and Burger, Sven and Schmidt, Frank}, title = {Engineering of optical modes in vertical-cavity microresonators by aperture placement: applications to single-mode and near-field lasers}, volume = {9381}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2077012}, pages = {93810V}, year = {2015}, language = {en} } @incollection{LedentsovJrShchukinLedentsovJretal.2016, author = {Ledentsov, Jr., Nikolay and Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Burger, Sven and Schmidt, Frank}, title = {New Generation of Vertical-Cavity Surface-Emitting Lasers for Optical Interconnects}, booktitle = {Future Trends in Microelectronics: Journey into the Unknown}, publisher = {John Wiley \& Sons}, doi = {10.1002/9781119069225.ch3-5}, year = {2016}, language = {en} } @inproceedings{LockauHammerschmidtHaschkeetal.2014, 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}, volume = {9140}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2052362}, pages = {914006}, year = {2014}, language = {en} } @inproceedings{ManleySchmidtSchmid2013, author = {Manley, Phillip and Schmidt, Frank and Schmid, Martina}, title = {Light extraction from plasmonic particles with dielectric shells and overcoatings}, booktitle = {Renewable Energy and the Environment}, publisher = {Optical Society of America}, doi = {10.1364/PV.2013.PW3B.7}, pages = {PW3B.7}, year = {2013}, language = {en} } @article{RuprechtSchaedleSchmidt2013, author = {Ruprecht, Daniel and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems}, volume = {29}, journal = {Numerical Methods for Partial Differential Equations}, number = {4}, doi = {10.1002/num.21759}, pages = {1367 -- 1390}, year = {2013}, language = {en} } @misc{HammerschmidtPomplunBurgeretal.2014, 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}, year = {2014}, 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.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}, issn = {1438-0064}, doi = {10.1117/12.2036346}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-50410}, year = {2014}, 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} } @misc{LockauHammerschmidtBlomeetal.2014, author = {Lockau, Daniel and Hammerschmidt, Martin and Blome, Mark and Schmidt, Frank}, title = {Optics of thin film solar cells}, 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}, year = {2014}, language = {en} } @misc{HammerschmidtHerrmannBurgeretal.2016, 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}, 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 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} } @misc{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}, issn = {1438-0064}, doi = {10.1117/12.2212367}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57239}, 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 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.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}, issn = {1438-0064}, doi = {10.1117/12.2212482}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57249}, 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} } @misc{GutschePoulikakosBurgeretal.2016, author = {Gutsche, Philipp and Poulikakos, Lisa and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank}, title = {Optical chirality: conservation law in arbitrary space}, journal = {606. WE-Heraeus-Seminar on Nanophotonics and Complex Spatial Modes of Light}, year = {2016}, 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} } @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} } @article{LedentsovJrShchukinLedentsovJretal.2016, author = {Ledentsov, Jr., Nikolay and Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Burger, Sven and Schmidt, Frank}, title = {Direct Evidence of the Leaky Emission in Oxide-Confined Vertical Cavity Lasers}, volume = {52}, journal = {IEEE J. Quant. Electron.}, number = {3}, doi = {10.1109/JQE.2016.2518081}, pages = {2400207}, year = {2016}, 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} } @inproceedings{BarthJaegerBurgeretal.2015, 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}, booktitle = {Light, Energy and the Environement 2015}, doi = {10.1364/PV.2015.JTu5A.9}, pages = {JTu5A.9}, 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{LedentsovJrShchukinKroppetal.2016, author = {Ledentsov, Jr., Nikolay and Shchukin, Vitaly and Kropp, J{\"o}rg-R. and Burger, Sven and Schmidt, Frank and Ledentsov, Jr., Nikolay}, title = {Direct visualization of the in-plane leakage of high-order transverse modes in vertical-cavity surface-emitting lasers mediated by oxide-aperture engineering}, volume = {9766}, journal = {Proc. SPIE}, doi = {10.1117/12.2208909}, pages = {976608}, year = {2016}, language = {en} } @article{PomplunBurgerZschiedrichetal.2016, author = {Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Gutsche, Philipp and Schmidt, Frank}, title = {Method for fast computation of angular light scattering spectra from 2D periodic arrays}, volume = {9778}, journal = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1603.04169}, doi = {10.1117/12.2219666}, pages = {977839}, year = {2016}, language = {en} } @article{GutschePoulikakosHammerschmidtetal.2016, author = {Gutsche, Philipp and Poulikakos, Lisa and Hammerschmidt, Martin and Burger, Sven and Schmidt, Frank}, title = {Time-harmonic optical chirality in inhomogeneous space}, volume = {9756}, journal = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1603.05011}, doi = {10.1117/12.2209551}, pages = {97560X}, 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} } @misc{GutscheLaeuterSchmidt2016, author = {Gutsche, Philipp and L{\"a}uter, Matthias and Schmidt, Frank}, title = {Parameter-dependent Parallel Block Sparse Arnoldi and D{\"o}hler Algorithms on Distributed Systems}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58202}, year = {2016}, abstract = {We summarize the basics and first results of the analyses within our ZIB Bridge Project and give an outlook on further studies broadening the usage of hardware acceleration within the Finite Element Method (FEM) based solution of Maxwell's equations.}, 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} } @incollection{Schmidt2017, author = {Schmidt, Frank}, title = {Photonics}, booktitle = {Handbook of Optoelectronic Device Modeling and Simulation}, editor = {Piprek, Joachim}, publisher = {CRC Press}, isbn = {9781498749381}, year = {2017}, language = {en} } @misc{SchmidtFrieseZschiedrichetal.2000, author = {Schmidt, Frank and Friese, Tilmann and Zschiedrich, Lin and Deuflhard, Peter}, title = {Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-6228}, number = {00-54}, year = {2000}, abstract = {This paper has been motivated by the need for a fast robust adaptive multigrid method to solve the vectorial Maxwell eigenvalue problem arising from the design of optical chips. Our nonlinear multigrid methods are based on a previous method for the scalar Helmholtz equation, which must be modified to cope with the null space of the Maxwell operator due to the divergence condition. We present two different approaches. First, we present a multigrid algorithm based on an edge element discretization of time-harmonic Maxwell's equations, including the divergence condition. Second, an explicit elimination of longitudinal magnetic components leads to a nodal discretization known to avoid discrete \emph{spurious modes} also and a vectorial eigenvalue problem, for which we present a multigrid solver. Numerical examples show that the edge element discretization clearly outperforms the nodal element approach.}, language = {en} }