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Home  |  Members  |  Schmidt, Prof. Dr. Frank

Schmidt, Prof. Dr. Frank

Position: 
Staff
Room: 
2034
Division: 
Mathematics for Life and Materials Sciences
Department: 
Modeling and Simulation of Complex Processes
Research group: 
Computational Nano Optics
Mail: 
frank.schmidtzib.de
Phone: 
+49 30 84185 - 174
Fax: 
+49 30 84185 - 107
Personal website: 
http://www.zib.de/frank.schmidt

Projects

Head

Plasmonic Concepts for Solar Fuel Generation
Emitter Resonator Interaction (ECMath OT9)

Member

Simulation of Semiconductor Based Emitters (SFB787)
Joint Lab BerOSE

Publications

2020 2019 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1987 1986

2020

Markus Kantner, Theresa Höhne, Thomas Koprucki, Sven Burger, Hans-Jürgen Wünsche, Frank Schmidt, Alexander Mielke, Uwe Bandelow Multi-dimensional modeling and simulation of semiconductor nanophotonic devices Semiconductor Nanophotonics, Michael Kneissl, Andreas Knorr, Stephan Reitzenstein, Axel Hoffmann (Eds.), Springer: Cham, pp. 241-283, 2020 BibTeX
DOI

2019

Gauri Mangalgiri Development of Titanium Dioxide Metasurfaces and Nanosoupbowls for Optically Enhancing Silicon Photocathodes Doctoral thesis, Humboldt-Universität zu Berlin, Martina Schmid (Advisor), 2019 BibTeX
DOI

2017

Frank Schmidt Photonics Handbook of Optoelectronic Device Modeling and Simulation, Joachim Piprek (Ed.), CRC Press, 2017, ISBN: 9781498749381 BibTeX
Nikolay Ledentsov, Jr., Vitaly Shchukin, Jörg-R. Kropp, Lin Zschiedrich, Frank Schmidt, Nikolay Ledentsov, Jr. Resonant cavity light–emitting diodes based on dielectric passive cavity structures Proc. SPIE, Vol.10124, p. 101240O, 2017 BibTeX
DOI

2016

Martin Hammerschmidt, Carlo Barth, Sven Burger, Christiane Becker, Frank Schmidt Determining 2D photonic crystal geometries from reflectance spectra with a reduced basis method Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM), p. 281, 2016, ISBN: 978-1-5108-4796-5 BibTeX
Nikolay Ledentsov, Jr., Vitaly Shchukin, Nikolay Ledentsov, Jr., Jörg-R. Kropp, Sven Burger, Frank Schmidt Direct Evidence of the Leaky Emission in Oxide-Confined Vertical Cavity Lasers IEEE J. Quant. Electron., 52(3), p. 2400207, 2016 BibTeX
DOI
Nikolay Ledentsov, Jr., Vitaly Shchukin, Jörg-R. Kropp, Sven Burger, Frank Schmidt, Nikolay Ledentsov, Jr. Direct visualization of the in-plane leakage of high-order transverse modes in vertical-cavity surface-emitting lasers mediated by oxide-aperture engineering Proc. SPIE, Vol.9766, p. 976608, 2016 BibTeX
DOI
Lin Zschiedrich, Frank Schmidt, Jan Pomplun, Sven Burger Finite elements for nano-optics applications Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM), p. 178, 2016, ISBN: 978-1-5108-4796-5 BibTeX
Carlo Barth, Sebastian Roder, Daniel Brodoceanu, Tobias Kraus, Sven Burger, Martin Hammerschmidt, Frank Schmidt, Christiane Becker Increased fluorescence of PbS quantum dots on photonic crystal slab structures Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM), p. 181, 2016, ISBN: 978-1-5108-4796-5 BibTeX
Jan Pomplun, Sven Burger, Lin Zschiedrich, Philipp Gutsche, Frank Schmidt Method for fast computation of angular light scattering spectra from 2D periodic arrays Proc. SPIE, Vol.9778, p. 977839, 2016 BibTeX
DOI
arXiv
Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Sven Burger, Frank Schmidt Model order reduction for the time-harmonic Maxwell equation applied to complex nanostructures Proc. SPIE, Vol.9742, p. 97420M, 2016 (preprint available as ZIB-Report 16-05) PDF (ZIB-Report)
BibTeX
DOI
Nikolay Ledentsov, Jr., Vitaly Shchukin, Nikolay Ledentsov, Jr., Jörg-R. Kropp, Sven Burger, Frank Schmidt New Generation of Vertical-Cavity Surface-Emitting Lasers for Optical Interconnects Future Trends in Microelectronics: Journey into the Unknown, John Wiley & Sons, 2016 BibTeX
DOI
Philipp Gutsche, Lisa Poulikakos, Sven Burger, Martin Hammerschmidt, Frank Schmidt Optical chirality: conservation law in arbitrary space 606. WE-Heraeus-Seminar on Nanophotonics and Complex Spatial Modes of Light, 2016 BibTeX
Philipp Gutsche, Matthias Läuter, Frank Schmidt Parameter-dependent Parallel Block Sparse Arnoldi and Döhler Algorithms on Distributed Systems ZIB-Report 16-15 PDF
BibTeX
URN
Martin Hammerschmidt, Carlo Barth, Jan Pomplun, Sven Burger, Christiane Becker, Frank Schmidt Reconstruction of photonic crystal geometries using a reduced basis method for nonlinear outputs Proc. SPIE, Vol.9756, p. 97561R, 2016 (preprint available as ZIB-Report 16-06) PDF (ZIB-Report)
BibTeX
DOI
URN
Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Sven Burger, Frank Schmidt Reduced basis method for electromagnetic scattering problem: a case study for FinFETs Optical and Quantum Electronics, Vol.48, p. 250, 2016 (preprint available as ZIB-Report 16-10) PDF (ZIB-Report)
BibTeX
DOI
Klaus Jäger, Carlo Barth, Martin Hammerschmidt, Sven Herrmann, Sven Burger, Frank Schmidt, Christiane Becker Simulations of sinusoidal nanotextures for coupling light into c-Si thin-film solar cells Opt. Express, Vol.24, p. A569, 2016 BibTeX
DOI
Klaus Jäger, Carlo Barth, Martin Hammerschmidt, Sven Herrmann, Sven Burger, Frank Schmidt, Christiane Becker Sinusoidal Nanotextures for Enhanced Light Management in Thin-Film Solar Cells 28th Workshop on Quantum Solar Energy Conversion - (QUANTSOL), European Society for Quantum Solar Energy Conversion (Ed.), 2016 PDF
BibTeX
Klaus Jäger, Grit Köppel, Carlo Barth, Martin Hammerschmidt, Sven Herrmann, Sven Burger, Frank Schmidt, Christiane Becker Sinusoidal gratings for optimized light management in c-Si thin-film solar cells Proc. SPIE, Vol.9898, p. 989808, 2016 BibTeX
DOI
Philipp Gutsche, Lisa Poulikakos, Martin Hammerschmidt, Sven Burger, Frank Schmidt Time-harmonic optical chirality in inhomogeneous space Proc. SPIE, Vol.9756, p. 97560X, 2016 BibTeX
DOI
arXiv

2015

Phillip Manley, Sven Burger, Frank Schmidt, Martina Schmid Design Principles for Plasmonic Nanoparticle Devices Progress in Nonlinear Nano-Optics, Shuji Sakabe, Christoph Lienau, Rüdiger Grunwald (Eds.), Springer, Nano-Optics and Nanophotonics, pp. 223-247, 2015 BibTeX
arXiv
DOI
Carlo Barth, Klaus Jäger, Sven Burger, Martin Hammerschmidt, Frank Schmidt, Christiane Becker Design of Photonic Crystals with Near-Surface Field Enhancement Light, Energy and the Environement 2015, p. JTu5A.9, OSA Technical Digest, 2015 BibTeX
DOI
Vitaly Shchukin, Nikolay Ledentsov, Jr., Jörg-R. Kropp, Gunther Steinle, Nikolay Ledentsov, Jr., Kent D. Choquette, Sven Burger, Frank Schmidt Engineering of optical modes in vertical-cavity microresonators by aperture placement: applications to single-mode and near-field lasers Proc. SPIE, p. 93810V, Vol.9381, 2015 BibTeX
DOI
Nikolay Ledentsov, Jr., Jörg-R. Kropp, Vitaly Shchukin, Gunther Steinle, Nikolay Ledentsov, Jr., Jarek P. Turkiewicz, Bo Wu, Qiu Shaofeng, Yanan Ma, Feng Zhiyong, Sven Burger, Frank Schmidt, Christoph Caspar, Ronald Freund, Kent D. Choquette High-speed modulation, wavelength, and mode control in vertical-cavity surface-emitting lasers Proc. SPIE, p. 93810F, Vol.9381, 2015 BibTeX
DOI
Manuel Gschrey, Alexander Thoma, Peter Schnauber, Marc Seifried, Ronny Schmidt, Benjamin Wohlfeil, Luzy Krüger, Jan-Hindrick Schulze, Tobias Heindel, Sven Burger, Frank Schmidt, Andre Strittmatter, Sven Rodt, Stephan Reitzenstein Highly indistinguishable photons from deterministic quantum-dot microlenses utilizing three-dimensional in situ electron-beam lithography Nature Communications, Vol.6, p. 7662, 2015 BibTeX
DOI
Sven Burger, Philipp Gutsche, Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Frank Schmidt, Benjamin Wohlfeil, Lin Zschiedrich Hp-finite-elements for simulating electromagnetic fields in optical devices with rough textures Proc. SPIE, p. 96300S, Vol.9630, 2015 BibTeX
DOI
arXiv
Alexander Thoma, Peter Schnauber, Manuel Gschrey, Ronny Schmidt, Benjamin Wohlfeil, Marc Seifried, Jan-Hindrick Schulze, Sven Burger, Frank Schmidt, Andre Strittmatter, Sven Rodt, Tobias Heindel, Stephan Reitzenstein Indistinguishable Photons from Deterministic Quantum Dot Microlenses European Conference on Lasers and Electro-Optics - European Quantum Electronics Conference, p. EA_8_5, 2015 PDF
BibTeX
Alexander Thoma, Peter Schnauber, Manuel Gschrey, Ronny Schmidt, Benjamin Wohlfeil, Marc Seifried, Jan-Hindrick Schulze, Sven Burger, Frank Schmidt, Andre Strittmatter, Sven Rodt, Tobias Heindel, Stephan Reitzenstein Indistinguishable Photons from Deterministically Fabricated Quantum Dot Microlenses Advanced Photonics, p. IS4A.6, OSA Technical Digest, 2015 BibTeX
DOI
Benjamin Wohlfeil Integrated fiber grating couplers in silicon photonics Doctoral thesis, Technische Universität Berlin, Klaus Petermann (Advisor), 2015 BibTeX
DOI
Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Lin Zschiedrich, Sven Burger, Frank Schmidt Reduced basis method for Maxwell's equations with resonance phenomena ZIB-Report 15-37 (Proc. SPIE 9630, 96300R (2015)) PDF
BibTeX
URN
DOI
Sven Burger, Martin Hammerschmidt, Sven Herrmann, Jan Pomplun, Frank Schmidt Reduced basis methods for optimization of nano-photonic devices Proc. Int. Conf. Numerical Simulation of Optoelectronic Devices (NUSOD), p. 159, 2015 BibTeX
DOI
Klaus Jäger, Carlo Barth, Martin Hammerschmidt, Sven Herrmann, Sven Burger, Frank Schmidt, Christiane Becker Sinusoidal Nanotextures for Coupling Light into c-Si Thin-Film Solar Cells Light, Energy and the Environement 2015, p. PTu4B.3, OSA Technical Digest, 2015 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Jan Pomplun, Sven Herrmann, Frank Schmidt hp-finite element method for simulating light scattering from complex 3D structures Proc. SPIE, p. 94240Z, Vol.9424, 2015 BibTeX
DOI
arXiv

2014

Daniel Lockau, Martin Hammerschmidt, Jan Haschke, Mark Blome, Florian Ruske, Frank Schmidt, Bernd Rech A comparison of scattering and non-scattering anti-reflection designs for back contacted polycrystalline thin film silicon solar cells in superstrate configuration Proc. SPIE, p. 914006, Vol.9140, Photonics for Solar Energy Systems, 2014 BibTeX
DOI
Martin Hammerschmidt, Jan Pomplun, Sven Burger, Frank Schmidt Adaptive sampling strategies for effcient parameter scans in nano-photonic device simulations Proc. SPIE, p. 89801O, Vol.8980, 2014 (preprint available as ZIB-Report 14-20) PDF (ZIB-Report)
BibTeX
DOI
Manuel Gschrey, Marc Seifried, Luzy Krüger, Ronny Schmidt, Jan-Hindrick Schulze, Tobias Heindel, Sven Burger, Sven Rodt, Frank Schmidt, Andre Strittmatter, Stephan Reitzenstein Advanced Quantum Light Sources: Modelling and Realization by Deterministic Nanofabrication Technologies Integrated Photonics Research, Silicon and Nanophotonics, p. IW1A.3, Vol.IPRSN, 2014 BibTeX
DOI
Daniel Lockau, Tobias Sontheimer, Veit Preidel, Florian Ruske, Martin Hammerschmidt, Christiane Becker, Frank Schmidt, Bernd Rech Advanced microhole arrays for light trapping in thin film silicon solar cells Solar Energy Materials and Solar Cells, Vol.125, pp. 298-304, 2014 BibTeX
DOI
Mark Blome, Kevin McPeak, Sven Burger, Frank Schmidt, David Norris Back-reflector design in thin-film silicon solar cells by rigorous 3D light propagation modeling COMPEL: Int. J. Comput. Mathem. Electr. Electron. Eng., 33(4), pp. 1282-1295, 2014 BibTeX
DOI
Manuel Gschrey, Marc Seifried, Luzy Krüger, Ronny Schmidt, Jan-Hindrick Schulze, Tobias Heindel, Sven Burger, Sven Rodt, Frank Schmidt, Andre Strittmatter, Stephan Reitzenstein Boosting the photon-extraction efficiency of nanophotonic structures by deterministic microlenses CLEO: 2014, p. FF2K.2, 2014 BibTeX
DOI
Kirankumar Hiremath, Lin Zschiedrich, Sven Burger, Frank Schmidt Finite elements based numerical solution of nonlocal hydrodynamic Drude model of nano-plasmonic scatterers 12th International Conference on Fiber Optics and Photonics, p. M3D.4, OSA Technical Digest, 2014 BibTeX
DOI
Simon Kirner, Martin Hammerschmidt, Christoph Schwanke, Daniel Lockau, Sonya Calnan, Tim Frijnts, Sebastian Neubert, Andreas Schöpke, Frank Schmidt, Jens-Hendrik Zollondz, Andreas Heidelberg, Bernd Stannowski, Bernd Rech, Rutger Schlatmann Implications of TCO Topography on Intermediate Reflector Design for a-Si/μc-Si Tandem Solar Cells — Experiments and Rigorous Optical Simulations IEEE Journal of Photovoltaics, 4(1), pp. 10-15, 2014 BibTeX
DOI
MATHEON - Mathematics for Key Technologies Peter Deuflhard, Martin Grötschel, Dietmar Hömberg, Ulrich Horst, Jürg Kramer, Volker Mehrmann, Konrad Polthier, Frank Schmidt, Christof Schütte, Martin Skutella, Jürgen Sprekels (Eds.), European Mathematical Society, 2014, ISBN: 978-3-03719-137-8 BibTeX
DOI
Shalva Amiranashvili, Uwe Bandelow, Mark Blome, Sven Burger, Frank Schmidt, Kersten Schmidt, Lin Zschiedrich Nanophotonics and nonlinear fiber optics MATHEON-Mathematics for Key Technologies, Vol.1, pp. 257-275, Peter Deuflhard, et al. (Eds.), European Mathematical Society, 2014 BibTeX
DOI
Andrei Lavrinenko, Jesper Laegsgaard, Niels Gregersen, Frank Schmidt, Thomas Soendergaard Numerical Methods in Photonics James C. Wyant (Ed.), CRC Press, 2014, ISBN: 9781466563889 BibTeX
Benjamin Wohlfeil, Sven Burger, Christos Stamatiadis, Jan Pomplun, Frank Schmidt, Lars Zimmermann, Klaus Petermann Numerical Simulation of Grating Couplers for Mode Multiplexed Systems Proc. SPIE, p. 89880K, Vol.8988, 2014 BibTeX
DOI
arXiv
Martin Hammerschmidt, Daniel Lockau, Lin Zschiedrich, Frank Schmidt Optical modelling of incoherent substrate light-trapping in silicon thin film multi-junction solar cells with finite elements and domain decomposition Proc. SPIE: Physics and Simulation of Optoelectronic Devices XXII, p. 898007, Vol.8980, 2014 (preprint available as ZIB-Report 14-21) PDF (ZIB-Report)
BibTeX
DOI
Daniel Lockau, Martin Hammerschmidt, Mark Blome, Frank Schmidt Optics of thin film solar cells MATHEON-Mathematics for Key Technologies, Vol.1, pp. 278-279, Peter Deuflhard, et al. (Eds.), European Mathematical Society, 2014 BibTeX
DOI
Vitaly Shchukin, Nikolay Ledentsov, Jr., Jörg-R. Kropp, Gunther Steinle, Nikolay Ledentsov, Jr., Sven Burger, Frank Schmidt Single-Mode Vertical Cavity Surface Emitting Laser via Oxide-Aperture-Engineering of Leakage of High Order Transverse Modes IEEE J. Quant. Electron., 50(12), pp. 990-995, 2014 BibTeX
DOI

2013

Sven Burger, Lin Zschiedrich, Jan Pomplun, Mark Blome, Frank Schmidt Advanced finite-element methods for design and analysis of nano-optical structures: Applications Proc. SPIE, Vol.8642, p. 864205, 2013 BibTeX
DOI
arXiv
Tobias Sontheimer, Veit Preidel, Daniel Lockau, Franziska Back, Eveline Rudigier-Voigt, Bernd Löchel, Alexei Erko, Frank Schmidt, Alexander Schnegg, Klaus Lips, Christiane Becker, Bernd Rech Correlation between structural and opto-electronic characteristics of crystalline Si microhole arrays for photonic light management Journal of Applied Physics, 114(17), p. 173513, 2013 BibTeX
DOI
Cristina Arellano, Sergei F. Mingaleev, Igor Koltchanov, Andre Richter, Jan Pomplun, Sven Burger, Frank Schmidt Efficient design of photonic integrated circuits (PICs) by combining device- and circuit- level simulation tools Proc. SPIE, Vol.8627, p. 862711, 2013 BibTeX
DOI
Martin Hammerschmidt, Daniel Lockau, Sven Burger, Frank Schmidt, Christoph Schwanke, Simon Kirner, Sonya Calnan, Bernd Stannowski, Bernd Rech FEM-based optical modeling of silicon thin-film tandem solar cells with randomly textured interfaces in 3D Proc. SPIE, Vol.8620, p. 86201H, 2013 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt, Bernd Bodermann Fast simulation method for parameter reconstruction in optical metrology Proc. SPIE, Vol.8681, p. 868119, 2013 BibTeX
DOI
arXiv
Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt Finite-element based electromagnetic field simulations: Benchmark results for isolated structures Proc. SPIE, p. 88801Z, Vol.8880, 2013 BibTeX
DOI
arXiv
Phillip Manley, Frank Schmidt, Martina Schmid Light extraction from plasmonic particles with dielectric shells and overcoatings Renewable Energy and the Environment, p. PW3B.7, 2013 BibTeX
DOI
Daniel Lockau, Tobias Sontheimer, Christiane Becker, Eveline Rudigier-Voigt, Frank Schmidt, Bernd Rech Nanophotonic light trapping in 3-dimensional thin-film silicon architectures Opt. Express, Vol.21, p. A42, 2013 BibTeX
DOI
Christiane Becker, Jolly Xavier, Veit Preidel, Philippe Wyss, Tobias Sontheimer, Bernd Rech, Jürgen Probst, Christoph Hülsen, Bernd Löchel, Alexei Erko, Sven Burger, Frank Schmidt, Franziska Back, Eveline Rudigier-Voigt Nanophotonic light trapping in polycrystalline silicon thin-film solar cells using periodically nanoimprint-structured glass substrates Proc. SPIE, p. 88240D, Vol.8824, 2013 BibTeX
DOI
Lin Zschiedrich, Horst Greiner, Sven Burger, Frank Schmidt Numerical analysis of nanostructures for enhanced light extraction from OLEDs Proc. SPIE, Vol.8641, p. 86410B, 2013 BibTeX
DOI
arXiv
Daniel Lockau, Tobias Sontheimer, Veit Preidel, Christiane Becker, Florian Ruske, Frank Schmidt, Bernd Rech Optical properties and Limits of a Large-Area Periodic Nanophotonic Light Trapping Design for Polycrystalline Silicon Thin Film Solar Cells MRS Proceedings, Vol.1493, pp. 59-64, 2013 BibTeX
DOI
Daniel Ruprecht, Achim Schädle, Frank Schmidt Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems Numerical Methods for Partial Differential Equations, 29(4), pp. 1367-1390, 2013 BibTeX
DOI

2012

Maria Rozova, Jan Pomplun, Lin Zschiedrich, Frank Schmidt, Sven Burger 3D finite element simulation of optical modes in VCSELs Proc. SPIE, p. 82550K, Vol.8255, 2012 BibTeX
DOI
arXiv
Martin Hammerschmidt, Daniel Lockau, Sven Burger, Frank Schmidt, Christoph Schwanke, Simon Kirner, Sonya Calnan, Bernd Stannowski, Bernd Rech 3D optical modeling of thin-film a-Si/mc-Si tandem solar cells with random textured interfaces using FEM Renewable Energy and the Environment Optics and Photonics Congress, p. JM5A.15, 2012 BibTeX
DOI
Felix Schlosser, Mario Schoth, Sven Burger, Frank Schmidt, Andreas Knorr, Shaul Mukamel, Marten Richter Coherent Nonlinear Spectroscopy with Spatiotemporally Controlled Fields CLEO/QELS, p. QF3D.6, 2012 BibTeX
DOI
Felix Schlosser, Mario Schoth, Kirankumar Hiremath, Sven Burger, Frank Schmidt, Andreas Knorr, Shaul Mukamel, Marten Richter Combining nanooptical fields and coherent spectroscopy on systems with delocalized excitons Proc. SPIE, p. 82601V, Vol.8260, 2012 BibTeX
DOI
Lin Zschiedrich, Horst Greiner, Jan Pomplun, Martin Hammerschmidt, Sven Burger, Frank Schmidt FEM simulations of light extraction from nanostructured organic light-emitting diodes Renewable Energy and the Environment Optics and Photonics Congress, p. LT2B.5, 2012 BibTeX
DOI
Sven Burger, Jan Pomplun, Frank Schmidt Finite Element Methods for Computational Nano-optics Encyclopedia of Nanotechnology, B. Bhushan (Ed.), Springer Netherlands, pp. 837-843, 2012 BibTeX
DOI
Christiane Becker, Daniel Lockau, Tobias Sontheimer, Peter Schubert-Bischoff, Eveline Rudigier-Voigt, Matthias Bockmeyer, Frank Schmidt, Bernd Rech Large-area 2D periodic crystalline silicon nanodome arrays on nanoimprinted glass exhibiting photonic band structure effects Nanotechnology, 23(13), p. 135302, 2012 BibTeX
DOI
Kirankumar Hiremath, Lin Zschiedrich, Frank Schmidt Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nedelec finite elements J. Comp. Phys., 231(17), pp. 5890-5896, 2012 BibTeX
DOI
Marten Richter, Felix Schlosser, Mario Schoth, Sven Burger, Frank Schmidt, Andreas Knorr, Shaul Mukamel Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique Phys. Rev. B, Vol.86, p. 085308, 2012 BibTeX
DOI
arXiv
Jan Pomplun, Hans Wenzel, Sven Burger, Lin Zschiedrich, Maria Rozova, Frank Schmidt, Paul Crump, Hossein Ekhteraei, Christoph M. Schultz, Götz Erbert Thermo-optical simulation of high-power diode lasers Proc. SPIE, p. 825510, Vol.8255, 2012 BibTeX
DOI

2011

B. Kleemann, J. Kurz, J. Hetzler, Jan Pomplun, Sven Burger, Lin Zschiedrich, Frank Schmidt Fast online inverse scattering with Reduced Basis Method (RBM) for a 3D phase grating with specific line roughness Modelling Aspects in Optical Metrology III, p. 808309, Vol.8083, 2011 BibTeX
DOI
Frank Schmidt, Jan Pomplun, Lin Zschiedrich, Sven Burger Fast online simulation of 3D nanophotonic structures by the reduced basis method Integrated Optics: Devices, Materials, and Technologies XV, p. 79410G, Vol.7941, 2011 BibTeX
DOI
Jan Pomplun, Sven Burger, Maria Rozova, Lin Zschiedrich, Frank Schmidt Finite element simulation of optical modes in VCSELs Numerical Simulation of Optoelectronic Devices (NUSOD), 11th International Conference on, pp. 119-120, 2011 BibTeX
DOI
Sven Burger, Jan Pomplun, Frank Schmidt, Lin Zschiedrich Finite-element method simulations of high-Q nanocavities with 1D photonic bandgap Physics and Simulation of Optoelectronic Devices XIX, p. 79330T, Vol.7933, 2011 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt, Akiko Kato, Christian Laubis, Frank Scholze Investigation of 3D Patterns on EUV Masks by Means of Scatterometry and Comparison to Numerical Simulations Photomask Technology 2011, p. 81661Q, Vol.8166, 2011 BibTeX
DOI
Jan Pomplun, Sven Burger, Lin Zschiedrich, Frank Schmidt Reduced basis method for real-time inverse scatterometry Modelling Aspects in Optical Metrology III, p. 808308, Vol.8083, 2011 BibTeX
DOI
D. Lockau, Lin Zschiedrich, Sven Burger, Frank Schmidt, F. Ruske, Bernd Rech Rigorous optical simulation of light management in crystalline silicon thin film solar cells with rough interface textures Physics and Simulation of Optoelectronic Devices XIX, p. 79330M, Vol.7933, 2011 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt Rigorous simulations of 3D patterns on extreme ultraviolet lithography masks Modelling Aspects in Optical Metrology III, Bernd Bodermann (Ed.), p. 80831B, Vol.8083, 2011 BibTeX
DOI
Benjamin Kettner, Frank Schmidt The pole condition as transparent boundary condition for resonance problems Physics and Simulation of Optoelectronic Devices XIX, p. 79331B, Vol.7933, 2011 BibTeX
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Hans Wenzel, Paul Crump, Hossein Ekhteraei, Christoph M. Schultz, Jan Pomplun, Sven Burger, Lin Zschiedrich, Frank Schmidt, Götz Erbert Theoretical and experimental analysis of the lateral modes of high-power broad-area lasers Numerical Simulation of Optoelectronic Devices, pp. 143-144, 2011 BibTeX
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Felix Schlosser, Mario Schoth, Sven Burger, Frank Schmidt, Andreas Knorr, S. Mukamel, Marten Richter Ultrafast nonlinear spectroscopy with spatially confined fields AIP Conference Proceedings, Vol.1398, pp. 94-96, 2011 BibTeX
DOI

2010

Sven Burger, Lin Zschiedrich, Frank Schmidt 3D FEM Simulations of High-Q Resonances in Photonic Crystal Microcavities Integrated Photonics Research, Silicon and Nanophotonics, p. IWB7, 2010 BibTeX
DOI
Jan Pomplun, Frank Schmidt Accelerated a posteriori error estimation for the reduced basis method with application to 3D electromagnetic scattering problems SIAM J. Sci. Comput., Vol.32, pp. 498-520, 2010 BibTeX
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Jan Pomplun, Frank Schmidt, Sven Burger, Lin Zschiedrich Adaptive Reduced Basis Method for Optical Scattering Problems Integrated Photonics Research, Silicon and Nanophotonics, p. IWD4, 2010 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Frank Schmidt FEM Simulation of Plasmon Laser Resonances AIP Conference Proceedings, Vol.1281, pp. 1613-1616, 2010 BibTeX
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Sven Burger, Frank Schmidt, Lin Zschiedrich FEM simulation of resonances in low-Q cavities for plasmon lasers International Workshop on Photonic Nanomaterials, Friedrich-Schiller-Universität Jena (Ed.), p. 36, 2010, ISBN: 978-3-00-031358-5 BibTeX
Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt Finite element method for accurate 3D simulation of plasmonic waveguides Integrated Optics: Devices, Materials, and Technologies XIV, p. 76040F, Vol.7604, 2010 BibTeX
DOI
Jan Pomplun, Sven Burger, Frank Schmidt, Andrei Schliwa, Dieter Bimberg, Agnieszka Pietrzak, Hans Wenzel, Götz Erbert Finite element simulation of the optical modes of semiconductor lasers Phys. Status Solidi B, Vol.247, pp. 846-853, 2010 BibTeX
DOI
Sven Burger, Frank Schmidt, Lin Zschiedrich Numerical Investigation of Photonic Crystal Microcavities in Silicon-on-Insulator Waveguides Photonic and Phononic Crystal Materials and Devices X, p. 76091Q, Vol.7609, 2010 BibTeX
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Sven Burger, Frank Schmidt, Lin Zschiedrich Numerical investigation of optical resonances in circular grating resonators Silicon Photonics V, p. 760610, Vol.7606, 2010 BibTeX
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Jan Pomplun, Frank Schmidt Reduced Basis Method for Electromagnetic Field Computations Scientific Computing in Electrical Engineering SCEE 2008, Springer Berlin Heidelberg, p. 85, 2010 BibTeX
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Jan Pomplun, Lin Zschiedrich, Sven Burger, Frank Schmidt, Jacek Tyminski, Donis Flagello, N. Toshiharu Reduced basis method for source mask optimization Photomask Technology, p. 78230E, Vol.7823, 2010 BibTeX
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2009

Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt, Benjamin Kettner, D. Lockau 3D Finite-Element Simulations of Enhanced Light Transmission Through Arrays of Holes in Metal Films Numerical Methods in Optical Metrology, p. 73900H, Vol.7390, 2009 BibTeX
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M. Karl, Benjamin Kettner, Sven Burger, Frank Schmidt, H. Kalt, M. Hetterich Dependencies of micro-pillar cavity quality factors calculated with finite element methods Optics Express, Vol.17, p. 1144, 2009 BibTeX
DOI
D. Lockau, Lin Zschiedrich, Frank Schmidt, Sven Burger, Bernd Rech Efficient simulation of plasmonic structures for solar cells International Workshop on Optical Waveguide Theory and Numerical Modelling, p. 48, Vol.XVIII, 2009 BibTeX
Sven Burger, B. Kleemann, Lin Zschiedrich, Frank Schmidt Finite-Element Simulations of Light Propagation through Circular Subwavelength Apertures Microtechnologies for the New Millenium, p. 736621, Vol.7366, 2009 BibTeX
DOI
Sven Burger, D. Lockau, Lin Zschiedrich, Frank Schmidt Finite-element simulations of light propagation through subwavelength apertures in metal films International Workshop on Optical Waveguide Theory and Numerical Modelling, p. 59, Vol.XVIII, 2009 BibTeX
Jan Pomplun, Lin Zschiedrich, Sven Burger, Frank Schmidt Reduced basis method for computational lithography Photomask Technology, p. 74882B, Vol.7488, 2009 BibTeX
DOI
Jan Pomplun, Frank Schmidt Reduced basis method for fast and robust simulation of electromagnetic scattering problems Numerical Methods in Optical Metrology, p. 73900I, Vol.7390, 2009 BibTeX
DOI

2008

Lin Zschiedrich, Sven Burger, Achim Schädle, Frank Schmidt A rigorous finite-element domain decomposition method for electromagnetic near field simulations Optical Microlithography XXI, Harry Levinson, Mircea Dusa (Eds.), Vol.6924, 2008 BibTeX
DOI
Frank Schmidt, Sven Burger, Jan Pomplun, Lin Zschiedrich Advanced FEM analysis of optical waveguides: algorithms and applications Integrated Optics, Christoph Greiner, Christoph Wächter (Eds.), p. 689602, Vol.6896, 2008 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Frank Schmidt, Peter Evanschitzky, Andreas Erdmann Benchmark of rigorous methods for electromagnetic field simulation Photomask Technology, H. Kawahira, L. S. Zurbrick (Eds.), p. 71221, Vol.7122, 2008 BibTeX
DOI
Frank Scholze, Christian Laubis, Gerhard Ulm, Uwe Dersch, Jan Pomplun, Sven Burger, Frank Schmidt Evaluation of EUV scatterometry for CD characterization of EUV masks using rigorous FEM-simulation Emerging Lithographic Technologies XII, Frank Schellenberg (Ed.), Vol.6921, 2008 BibTeX
Sven Burger, Lin Zschiedrich, Benjamin Kettner, Frank Schmidt FEM simulation of light scattering by nonspherical objects Mie Theory 1908 – 2008, W. Hergert, T. Wriedt (Eds.), Universität Bremen, pp. 82-83, 2008 BibTeX
Jan Pomplun, Lin Zschiedrich, Roland Klose, Frank Schmidt, Sven Burger Finite Element Simulation of Radiation Losses in Photonic Crystal Fibers Nanophotonic Materials: Photonic Crystals, Plasmonics, and Metamaterials, Wiley-VCH, pp. 313-331, 2008 BibTeX
DOI
Lin Zschiedrich, Frank Schmidt Finite element simulation of light propagation in non-periodic mask patterns Photomask and Next-Generation Lithography Mask Technology XV, Toshiyuki Horiuchi (Ed.), Vol.7028, 2008 BibTeX
Sven Burger, Lin Zschiedrich, Jan Pomplun, Frank Schmidt JCMsuite: An Adaptive FEM Solver for Precise Simulations in Nano-Optics Integrated Photonics and Nanophotonics Research and Applications, p. ITuE4, 2008 BibTeX
Jan Pomplun, Sven Burger, Frank Schmidt, Frank Scholze, Christian Laubis, Uwe Dersch Metrology of EUV masks by EUV-scatterometry and finite element analysis Photomask and Next-Generation Lithography Mask Technology XV, Toshiyuki Horiuchi (Ed.), Vol.7028, 2008 BibTeX
Frank Schmidt, Thorsten Hohage, Roland Klose, Achim Schädle, Lin Zschiedrich Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain J. Comput. Appl. Math., 218(1), pp. 61-69, 2008 BibTeX
DOI
Jan Pomplun, Frank Schmidt Reduced Basis Method for Nano Optical Simulations Integrated Photonics and Nanophotonics Research and Applications, p. IWD7, 2008 BibTeX
Daniel Ruprecht, Achim Schädle, Frank Schmidt, Lin Zschiedrich Transparent boundary conditions for time-dependent problems SIAM J. Sci. Comput., 30(5), pp. 2358-2385, 2008 (preprint available as ZIB-Report 07-12) PDF (ZIB-Report)
BibTeX
DOI

2007

Sven Burger, Lin Zschiedrich, Frank Schmidt, Roderick Köhle, Thomas Henkel, Bernd Küchler, Christoph Nölscher 3D simulations of electromagnetic fields in nanostructures using the time-harmonic finite-element method Modeling Aspects in Optical Metrology, Harald Bosse (Ed.), p. 66170V, Vol.6617, 2007 BibTeX
DOI
Jan Pomplun, Sven Burger, Lin Zschiedrich, Frank Schmidt Adaptive finite element method for simulation of optical nano structures Phys. Status Solidi B, Vol.244, pp. 3419-3434, 2007 BibTeX
DOI
arXiv
Achim Schädle, Lin Zschiedrich, Sven Burger, Roland Klose, Frank Schmidt Domain Decomposition Method for Maxwell’s Equations J. Comput. Phys., Vol.226, pp. 477-493, 2007 (preprint available as ZIB-Report 06-04) PDF (ZIB-Report)
BibTeX
DOI
Sven Burger, Lin Zschiedrich, Frank Schmidt, Roderick Köhle, Bernd Küchler, Christoph Nölscher EMF Simulations of Isolated and Periodic 3D Photomask Patterns Photomask Technology, p. 6630, Vol.6730, 2007 BibTeX
Jan Pomplun, Ronald Holzlöhner, Sven Burger, Lin Zschiedrich, Frank Schmidt FEM investigation of leaky modes in hollow core photonic crystal fibers Proc. SPIE, Photonic Crystal Materials and Devices VI, Ali Adibi, Axel Scherer, Shawn-Yu Lin (Eds.), p. 64800M, Vol.6480, 2007 BibTeX
Jan Pomplun, Sven Burger, Frank Schmidt, Frank Scholze, Christian Laubis, Uwe Dersch Finite element analysis of EUV lithography Modeling Aspects in Optical Metrology, Harald Bosse (Ed.), p. 661718, Vol.6617, 2007 BibTeX
DOI
Jan Pomplun, Lin Zschiedrich, Roland Klose, Frank Schmidt, Sven Burger Finite element simulation of radiation losses in photonic crystal fibers phys. stat. sol. (a), 204(11), pp. 3822-3837, 2007 BibTeX
DOI
Lin Zschiedrich, Sven Burger, Jan Pomplun, Frank Schmidt Goal oriented adaptive finite element method for precise simulation of optical components Proc. SPIE, Integrated Optics, Y. Sidorin, Ch. Waechter (Eds.), p. 64750H, Vol.6475, 2007 BibTeX
Frank Scholze, Christian Laubis, Uwe Dersch, Jan Pomplun, Sven Burger, Frank Schmidt The influence of line edge roughness and CD uniformity on EUV scatterometry for CD characterization of EUV masks Modeling Aspects in Optical Metrology, Harald Bosse (Ed.), p. 66171A, Vol.6617, 2007 BibTeX
Achim Schädle, Daniel Ruprecht, Frank Schmidt Transparent boundary conditions - the pole condition approach Proceedings of Waves 2007, N. Biggs et.al. (Ed.), pp. 301-303, 2007 BibTeX

2006

Lin Zschiedrich, Roland Klose, Achim Schädle, Frank Schmidt A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D J. Comput. Appl. Math., Vol.188, pp. 12-32, 2006 (preprint available as ZIB-Report 03-44) PDF (ZIB-Report)
BibTeX
DOI
Sven Burger, Roland Klose, Achim Schädle, Frank Schmidt, Lin Zschiedrich Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures Scientific Computing in Electrical Engineering, Springer Verlag, pp. 169-175, 2006 BibTeX
DOI
Sven Burger, Lin Zschiedrich, Achim Schädle, Roland Klose, Benjamin Kettner, Jan Pomplun, T. Pollok, Frank Schmidt Advanced FEM Analysis of Nano-Optical Devices Proc. Symposium on Photonics Technologies for the 7th Framework Programme, 2006 BibTeX
Sven Burger, Achim Schädle, Lin Zschiedrich, Frank Schmidt Advanced FEM Analysis of Nano-Optical Devices Nanophotonics, David L. Andrews, Jean-Michel Nunzi, Andreas Ostendorf (Eds.), pp. 72-82, Vol.6195, 2006 BibTeX
DOI
Lin Zschiedrich, Sven Burger, Benjamin Kettner, Frank Schmidt Advanced Finite Element Method for Nano-Resonators Proc. SPIE, p. 611515, Vol.6115, 2006 BibTeX
DOI
arXiv
Lin Zschiedrich, Reinhard März, Sven Burger, Frank Schmidt Efficient 3D Finite Element Simulation of Fiber-Chip Coupling Integrated Photonics Research and Applications/Nanophotonics, p. ITuF1, 2006 BibTeX
DOI
S. Linden, Christian Enkrich, G. Dolling, M. Klein, J. Zhou, T. Koschny, C. Soukoulis, Sven Burger, Frank Schmidt, M. Wegener Photonic metamaterials: Magnetism at Optical Frequencies IEEE Journal of Selected Topics in Quantum Electronics, 12(6), pp. 1097-1105, 2006 BibTeX
DOI
Jan Pomplun, Sven Burger, Frank Schmidt, Lin Zschiedrich, Frank Scholze Rigorous FEM-Simulation of EUV-Masks: Influence of shape and material parameters Photomask Technology, P. Martin, R. Naber (Eds.), p. 63493D, Vol.6349, 2006 BibTeX
DOI
Sven Burger, Roderick Köhle, Lin Zschiedrich, H. Nguyen, Frank Schmidt, Reinhard März, Christoph Nölscher Rigorous Simulation of 3D Masks Photomask Technology, P. Martin, R. Naber (Eds.), p. 63494Z, Vol.6349, 2006 BibTeX

2005

Roland Klose, Sven Burger, Frank Schmidt, Lin Zschiedrich A multilevel method for the computation of eigenmodes in 3D photonic crystals Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic Devices, pp. 61-62, 2005 BibTeX
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Sven Burger, Roderick Köhle, Lin Zschiedrich, W. Gao, Frank Schmidt, Reinhard März, Christoph Nölscher Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation Photomask Technology, J. Weed, P. Martin (Eds.), pp. 378-389, Vol.5992, 2005 BibTeX
arXiv
DOI
Lin Zschiedrich, Sven Burger, Achim Schädle, Frank Schmidt Domain decomposition method for electromagnetic scattering problems: application to EUV lithography Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices, pp. 55-56, 2005 BibTeX
DOI
Sven Burger, Roland Klose, Achim Schädle, Frank Schmidt, Lin Zschiedrich FEM modelling of 3D photonic crystals and photonic crystal waveguides Integrated Optics : Devices, Materials and Technologies IX, Y. Sidorin, Christoph Wächter (Eds.), pp. 164-173, Vol.5728, 2005 BibTeX
DOI
Frank Schmidt, Sven Burger, Achim Schädle, Roland Klose Finite element methods for optical device design Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices, pp. 57-58, 2005 BibTeX
DOI
Lin Zschiedrich, Sven Burger, Roland Klose, Achim Schädle, Frank Schmidt JCMmode: an adaptive finite element solver for the computation of leaky modes Integrated Optics: Devices, Materials, and Technologies IX, Y. Sidorin, Christoph Wächter (Eds.), pp. 192-202, Vol.5728, 2005 BibTeX
DOI
Christian Enkrich, M. Wegener, S. Linden, Sven Burger, Lin Zschiedrich, Frank Schmidt, C. Zhou, T. Koschny, C. Soukoulis Magnetic metamaterials at telecommunication and visible frequencies Phys. Rev. Lett., Vol.95, p. 203901, 2005 BibTeX
DOI
arXiv
Sven Burger, Lin Zschiedrich, Roland Klose, Achim Schädle, Frank Schmidt, Christian Enkrich, S. Linden, M. Wegener, C. Soukoulis Numerical Investigation of Light Scattering off Split-Ring Resonators Metamaterials, T. Szoplik, E. Özbay, C. Soukoulis, N. Zheludev (Eds.), pp. 18-26, Vol.5955, 2005 BibTeX
DOI

2004

Sven Burger, Roland Klose, Reinhard März, Achim Schädle, Frank Schmidt, Lin Zschiedrich Efficient Finite Element Methods for the Design of Microoptical Components Proc. Microoptics Conf. 2004, 2004 BibTeX
Frank Schmidt Pole Condition: A new Approach to Solve Scattering Problems Oberwolfach Report, 1(1), pp. 615-617, 2004 BibTeX

2003

Sven Burger, Frank Schmidt, Lin Zschiedrich A fast and efficient Finite-Element Solver for 2D and 3D Photonic Band-Gap Problems Dig. LEOS/IEEE 2003 Summer Topicals, p. 75, 2003 BibTeX
DOI
Frank Schmidt, T. Friese, Lin Zschiedrich, Peter Deuflhard Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design Mathematics - Key Technology for the Future, Springer, pp. 270-292, 2003 (preprint available as ZIB-Report 00-54) PDF (ZIB-Report)
BibTeX
Thorsten Hohage, Frank Schmidt, Lin Zschiedrich Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory SIAM J. Math. Anal., 35(1), pp. 183-210, 2003 BibTeX
DOI
Thorsten Hohage, Frank Schmidt, Lin Zschiedrich Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method SIAM J. Math. Anal., 35(3), pp. 547-560, 2003 BibTeX
DOI

2002

Thorsten Hohage, Frank Schmidt, Lin Zschiedrich A new method for the solution of scattering problems Proceedings of the JEE’02 Symposium, Bas Michielsen, Francine Decavèle (Eds.), pp. 251-256, 2002 (preprint available as ZIB-Report 02-01) PDF (ZIB-Report)
BibTeX
Thorsten Hohage, Frank Schmidt On the Numerical Solution of Nonlinear Schrödinger type equations in fiber optics ZIB-Report 02-04 PDF
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URN
Frank Schmidt Solution of Interior-Exterior Helmholtz-Type Problems Based on the Pole Condition Concept Doctoral thesis, Free University Berlin, Fachbereich Mathematik und Informatik, 2002 (preprint available as ZIB-Report 02-45) PDF (ZIB-Report)
BibTeX

2001

D. Yevick, T. Friese, Frank Schmidt A Comparison of Transparent Boundary Conditions for the Fresnel Equation J. Comput. Phys., 168(2), pp. 433-444, 2001 (preprint available as ZIB-Report 00-05) PDF (ZIB-Report)
BibTeX
Thorsten Hohage, Frank Schmidt, Lin Zschiedrich Solving time-harmonic scattering problems based on the condition: Theory ZIB-Report 01-01 (Appeared under the title "Solving time-harmonic scattering problems based on the condition I: Theory in: SIAM Journal on Mathematical Analysis 35 (2003) 183-210) PDF
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URN
Thorsten Hohage, Frank Schmidt, Lin Zschiedrich Solving time-harmonic scattering problems based on the pole condition: Convergence of the PML method ZIB-Report 01-23 (Appeared under the title "Solving time-hamonic scattering problems based on the pole condition II: Convergence of the PML method" in: SIAM Journal on Mathematical Analysis 35 (2003) 547-560) PDF
BibTeX
URN
Frank Schmidt, T. Friese, D. Yevick Transparent Boundary Conditions for Split-Step Padé Approximations of the One-Way Helmholtz equation J. Comp. Phys, Vol.170, pp. 696-719, 2001 BibTeX

2000

Frank Schmidt Discrete Nonreflecting Boundary Conditions for the Helmholtz equation Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, A. Bermúdez, D. Gómez, C. Hazard, P. Joly, J. Roberts (Eds.), pp. 921-925, 2000 (preprint available as ZIB-Report 00-06) PDF (ZIB-Report)
BibTeX
T. Friese, Frank Schmidt, D. Yevick Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation J. Comput. Phys., 165(2), pp. 645-659, 2000 (preprint available as ZIB-Report SC-99-45) PDF (ZIB-Report)
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DOI

1999

T. Friese, Peter Deuflhard, Frank Schmidt A Multigrid Method for the Complex Helmholtz Eigenvalue Problem Procs. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering (DD11), UK, Choi-Hong Lai, Petter E. Bjørstad, Mark Cross, Olof Widlund (Eds.), pp. 19-26, 1999 (preprint available as ZIB-Report SC-97-55) PDF (ZIB-Report)
BibTeX
Frank Schmidt Construction of Discrete Transparent Boundary Conditions for Schrödinger-Type equations Surv. Math. Ind., Vol.9, pp. 87-100, 1999 (preprint available as ZIB-Report SC-97-60) PDF (ZIB-Report)
BibTeX
Frank Schmidt, Tilmann Friese, David Yevick Transparent Boundary Conditions for Split-Step Pade Approximations of the One-Way Helmholtz Equation ZIB-Report SC-99-46 (Appeared in: J. Comput. Phys. 170 (2001) 696-719) PDF
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1998

Frank Schmidt An Alternative Derivation of the Exact DtN-Map on a Circle ZIB-Report SC-98-32 PDF
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Frank Schmidt Computation of Discrete Transparent Boundary Conditions for the 2D Helmholtz equation Optical and Quantum Electronics, 30(5,6), pp. 427-441, 1998 (preprint available as ZIB-Report SC-97-64) PDF (ZIB-Report)
BibTeX
Frank Schmidt Simulation of Scattering and Reflection Problems via Solution of the 2D Helmholtz Equation Integrated Photonics Research, pp. 408-410, Vol.4, OSA Technical Digest Series, 1998 BibTeX

1997

D. Yevick, J. Yu, Frank Schmidt Analytic Studies of Absorbing and Impedance-Matched Boundary Layers IEEE Photonics Technology Letters, Vol.9, pp. 73-75, 1997 BibTeX
DOI
Frank Schmidt, D. Yevick Discrete Transparent Boundary Conditions for Schrödinger-Type Equations J. Comput. Phys., 134(1), pp. 96-107, 1997 (preprint available as ZIB-Report SC-96-17) PDF (ZIB-Report)
BibTeX
DOI
Frank Schmidt, D. Yevick Discrete Transparent Boundary Conditions for the Fresnel Equation Proceedings of the 8th European Conference on Integrated Optics, pp. 222-225, 1997 BibTeX

1996

Peter Deuflhard, T. Friese, Frank Schmidt, Reinhard März, Hans-Peter Nolting Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips Mathematik - Schlüsseltechnologie für die Zukunft, K.-H. et al. Hoffmann (Ed.), pp. 267-279, 1996 (preprint available as ZIB-Report SC-96-02) PDF (ZIB-Report)
BibTeX
Frank Schmidt, Reinhard März On the Reference Wave Vector of Paraxial Helmholtz Equations IEEE Journal of Lightwave Technology, Vol.14, pp. 2395-2400, 1996 BibTeX

1995

Frank Schmidt, Peter Deuflhard Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel’s Equation. Comput. Math. Appl., Vol.29, pp. 53-76, 1995 (preprint available as ZIB-Report SC-93-24) PDF (ZIB-Report)
BibTeX
Frank Schmidt, Reinhard März On the Reference Wave Vector pf Paraxial Helmholtz Equations ZIB-Report SC-94-38 (Appeared in: IEEE Journal of Lightwave Technology 14 (1996) 2395-2400) PDF
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URN
Frank Schmidt Simultaneous Computation of the Lowest Eigenvalue and Eigenvectors of the Helmholtz Equation ZIB-Report TR-95-13 PDF
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1994

Frank Schmidt, Peter Deuflhard Discrete Transparent Boundary Conditions for Fresnel’s Equation Integrated Photonics Research, pp. 45-47, 1994 BibTeX
Frank Schmidt Phase-adaptive basis functions for a multilevel finite element solution of the paraxial wave equation Euro-Opto Series, D. G. C. Righini (Ed.), pp. 57-61, 1994 BibTeX

1993

Frank Schmidt An Adaptive Approach to the Numerical Solution of Fresnel’s Wave Equation. IEEE Journal of Lightwave Technology, 11(9), pp. 1425-1435, 1993 (preprint available as ZIB-Report SC-91-12) PDF (ZIB-Report)
BibTeX

1992

Frank Schmidt, Hans-Peter Nolting Adaptive Multilevel Beam Propagation Method IEEE Photonics Technology Letter, Vol.4, pp. 1381-1383, 1992 BibTeX
Frank Schmidt, Hans-Peter Nolting An Adaptive Approach to a Beam Propagation Method Integrated Photonics Research, pp. 302-303, 1992 BibTeX
Frank Schmidt, K. Gottschling Improved Method of Mode Determination in Planar Optical Waveguides Using Line Transmission Approach J. Opt. Commun., 12(3), pp. 112-114, 1992 BibTeX

1990

Frank Schmidt Simulation und Herstellung von Faserschleifkopplern Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin, R. Math./Naturwiss., 39(2), pp. 115-118, 1990 BibTeX

1989

Frank Schmidt Ingenieurmäßige Berechnung der Feldausbreitung in optischen Bauelementen der Lichtwellenleitertechnik Doctoral thesis, Department of Electrial Engineering - Optical Telecommunication Theory, Humboldt University Berlin, 1989 BibTeX

1987

E. Philippow, Frank Schmidt Besondere Lösungen in harmonisch erregten Ferroresonanz-Kreisen 4. Internationales Symposium Theoretische Elektrotechnik Ilmenau, pp. 26-32, Vol.2, 1987 BibTeX

1986

Frank Schmidt Untersuchung heteronomer Differentialgleichungen mit Hilfe des Analogrechners Master's thesis, Department of Theoretical Electrial Engineering, Technical University Ilmenau, 1986 BibTeX
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