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KONRAD-ZUSE-ZENTRUM
FÜR INFORMATIONSTECHNIK
BERLIN

Prof. Dr. Frank Schmidt - Staff

Zuse Institute Berlin (ZIB)
Numerical Mathematics
Department Numerical Analysis and Modelling

Takustr. 7
D-14195 Berlin-Dahlem
Germany

Email:     frank.schmidtzib.de
Phone:   +49 30 84185-174
Fax:       +49 30 84185-107
Room:    4156

Publications

2013

S. Burger, L. Zschiedrich, J. Pomplun, M. Blome, F. Schmidt Advanced finite-element methods for design and analysis of nano-optical structures: Applications Proc. SPIE, Vol. 8642, pp. 864205, 2013 DOI
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C. Arellano, S. Mingaleev, I. Koltchanov, A. Richter, J. Pomplun, S. Burger, F. Schmidt Efficient design of photonic integrated circuits (PICs) by combining device- and circuit- level simulation tools Proc. SPIE, Vol. 8627, pp. 862711, 2013 DOI
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M. Hammerschmidt, D. Lockau, S. Burger, Frank Schmidt, C. Schwanke, S. Kirner, S. Calnan, B. Stannowski, B. Rech FEM-based optical modeling of silicon thin-film tandem solar cells with randomly textured interfaces in 3D Proc. SPIE, Vol. 8620, 2013
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L. Zschiedrich, H. J. Greiner, S. Burger, F. Schmidt Numerical analysis of nanostructures for enhanced light extraction from OLEDs Proc. SPIE, Vol. 8641, pp. 86410B, 2013 DOI
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2012

M. Rozova, J. Pomplun, L. Zschiedrich, F. Schmidt, S. Burger 3D finite element simulation of optical modes in VCSELs Physics and Simulation of Optoelectronic Devices XX, B. Witzigmann, M. Osinski, F. Henneberger, Y. Arakawa (Eds.), Vol. 8255, pp. 82550K, Proc. SPIE, 2012 DOI
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M. Hammerschmidt, D. Lockau, S. Burger, F. Schmidt, C. Schwanke, S. Kirner, S. Calnan, B. Stannowski, B. 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, Renewable Energy and the Environment Optics and Photonics Congress, pp. JM5A.15, Optical Society of America, 2012
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M. Blome, K. McPeak, S. Burger, F. Schmidt, D. Norris Back-reflector optimization in thin-film silicon solar cells using 3D finite element simulations Int. Conf. on Scientific Computing in Electrical Engineering (SCEE), 2012
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F. Schlosser, M. Schoth, S. Burger, F. Schmidt, A. Knorr, S. Mukamel, M. Richter Coherent Nonlinear Spectroscopy with Spatiotemporally Controlled Fields CLEO: QELS-Fundamental Science, CLEO: QELS-Fundamental Science, pp. QF3D.6, Optical Society of America, 2012
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F. Schlosser, M. Schoth, K. Hiremath, S. Burger, F. Schmidt, A. Knorr, S. Mukamel, M. Richter Combining nanooptical fields and coherent spectroscopy on systems with delocalized excitons Ultrafast Phenomena and Nanophotonics XVI, Markus Betz, Abdulhakem Y. Elezzabi, Jin-Joo Song, Kong-Thon Tsen (Eds.), Vol. 8260, pp. 82601V, Proc. SPIE, 2012 DOI
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L. Zschiedrich, H. Greiner, J. Pomplun, M. Hammerschmidt, S. Burger, F. Schmidt FEM simulations of light extraction from nanostructured organic light-emitting diodes Renewable Energy and the Environment Optics and Photonics Congress, Renewable Energy and the Environment Optics and Photonics Congress, pp. LT2B.5, Optical Society of America, 2012
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S. Burger, J. Pomplun, F. Schmidt Finite Element Methods for Computational Nano-optics Encyclopedia of Nanotechnology, B. Bhushan (Ed.), pp. 837-843, Springer Netherlands, 2012 DOI
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K. R. Hiremath, L. Zschiedrich, F. Schmidt Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nedelec finite elements J. Comp. Phys., Vol. 231, No. 17, pp. 5890 - 5896, 2012 DOI
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M. Richter, F. Schlosser, M. Schoth, S. Burger, F. Schmidt, A. Knorr, S. Mukamel Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique Phys. Rev. B, Vol. 86, pp. 085308, 2012 DOI
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J. Pomplun, H. Wenzel, S. Burger, L. Zschiedrich, M. Rozova, F. Schmidt, P. Crump, H. Ekhteraei, C. M. Schultz, G. Erbert Thermo-optical simulation of high-power diode lasers Physics and Simulation of Optoelectronic Devices XX, Bernd Witzigmann, Marek Osinski, Fritz Henneberger, Yasuhiko Arakawa (Eds.), Vol. 8255, pp. 825510, Proc. SPIE, 2012 DOI
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2011

B. H. Kleemann, J. Kurz, J. Hetzler, J. Pomplun, S. Burger, L. Zschiedrich, F. 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, B. Bodermann (Ed.), Vol. 8083, pp. 808309, Proc. SPIE, 2011 DOI
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F. Schmidt, J. Pomplun, L. Zschiedrich, S. Burger Fast online simulation of 3D nanophotonic structures by the reduced basis method Integrated Optics: Devices, Materials, and Technologies XV, Vol. 7941, pp. 79410G, Proc. SPIE, 2011 DOI
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S. Burger, J. Pomplun, F. Schmidt, L. Zschiedrich Finite-element method simulations of high-Q nanocavities with 1D photonic bandgap Physics and Simulation of Optoelectronic Devices XIX, Vol. 7933, pp. 79330T, Proc. SPIE, 2011 DOI
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S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt, A. Kato, C. Laubis, F. Scholze Investigation of 3D Patterns on EUV Masks by Means of Scatterometry and Comparison to Numerical Simulations Photomask Technology 2011, W. Maurer, F. E. Abboud (Eds.), Vol. 8166, pp. 81661Q, Proc. SPIE, 2011 DOI
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J. Pomplun, S. Burger, L. Zschiedrich, F. Schmidt Reduced basis method for real-time inverse scatterometry Modelling Aspects in Optical Metrology III, B. Bodermann (Ed.), Vol. 8083, pp. 808308, Proc. SPIE, 2011 DOI
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D. Lockau, L. Zschiedrich, S. Burger, F. Schmidt, F. Ruske, B. 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, Vol. 7933, pp. 79330M, Proc. SPIE, 2011 DOI
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S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt Rigorous simulations of 3D patterns on extreme ultraviolet lithography masks Modelling Aspects in Optical Metrology III, B. Bodermann (Ed.), Vol. 8083, pp. 80831B, Proc. SPIE, 2011 DOI
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B. Kettner, F. Schmidt The pole condition as transparent boundary condition for resonance problems: detection of spurious modes Physics and Simulation of Optoelectronic Devices XIX, Vol. 7933, pp. 79331B, Proc. SPIE, 2011 DOI
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F. Schlosser, M. Schoth, S. Burger, F. Schmidt, A. Knorr, S. Mukamel, M. Richter Ultrafast nonlinear spectroscopy with spatially confined fields AIP Conference Proceedings, Vol. 1398, No. 1, pp. 94-96, AIP, 2011 DOI
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2010

S. Burger, L. Zschiedrich, F. Schmidt 3D FEM Simulations of High-Q Resonances in Photonic Crystal Microcavities Integrated Photonics Research, Silicon and Nanophotonics, pp. IWB7, OSA, 2010
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J. Pomplun, F. 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
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J. Pomplun, F. Schmidt, S. Burger, L. Zschiedrich Adaptive Reduced Basis Method for Optical Scattering Problems Integrated Photonics Research, Silicon and Nanophotonics, pp. IWD4, OSA, 2010
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S. Burger, L. Zschiedrich, F. Schmidt FEM Simulation of Plasmon Laser Resonances AIP Conference Proceedings, Vol. 1281, pp. 1613-1616, AIP, 2010 DOI
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S. Burger, F. Schmidt, L. Zschiedrich FEM simulation of resonances in low-Q cavities for plasmon lasers International Workshop on Photonic Nanomaterials, Friedrich-Schiller-Universität Jena (Ed.), pp. 36, 2010
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S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt Finite element method for accurate 3D simulation of plasmonic waveguides Integrated Optics: Devices, Materials, and Technologies XIV, Vol. 7604, pp. 76040F, Proc. SPIE, 2010 DOI
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J. Pomplun, S. Burger, F. Schmidt, A. Schliwa, D. Bimberg, A. Pietrzak, H. Wenzel, G. Erbert Finite element simulation of the optical modes of semiconductor lasers phys. stat. sol. (b), Vol. 247, pp. 846-853, 2010
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S. Burger, F. Schmidt, L. Zschiedrich Numerical Investigation of Photonic Crystal Microcavities in Silicon-on-Insulator Waveguides Photonic and Phononic Crystal Materials and Devices X, Vol. 7609, pp. 76091Q, Proc. SPIE, 2010 DOI
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S. Burger, F. Schmidt, L. Zschiedrich Numerical investigation of optical resonances in circular grating resonators Silicon Photonics V, Vol. 7606, pp. 760610, Proc. SPIE, 2010 DOI
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J. Pomplun, F. Schmidt Reduced Basis Method for Electromagnetic Field Computations Scientific Computing in Electrical Engineering SCEE 2008, pp. 85, Springer Berlin Heidelberg, 2010 DOI
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J. Pomplun, L. Zschiedrich, S. Burger, F. Schmidt, J. Tyminski, D. Flagello, N. Toshiharu Reduced basis method for source mask optimization Photomask Technology, Vol. 7823, pp. 78230E, Proc. SPIE, 2010 DOI
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2009

S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt, B. Kettner, D. Lockau 3D Finite-Element Simulations of Enhanced Light Transmission Through Arrays of Holes in Metal Films Numerical Methods in Optical Metrology, Vol. 7390, pp. 73900H, Proc. SPIE, 2009 DOI
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S. Burger, B. H. Kleemann, L. Zschiedrich, F. Schmidt 3D Finite-Element Simulations of Light Propagation through Circular Subwavelength Apertures Microtechnologies for the New Millenium, Vol. 7366, pp. 736621, Proc. SPIE, 2009 DOI
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M. Karl, B. Kettner, S. Burger, F. Schmidt, H. Kalt, M. Hetterich Dependencies of micro-pillar cavity quality factors calculated with finite element methods Optics Express, Vol. 17, pp. 1144, 2009 DOI
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D. Lockau, L. Zschiedrich, F. Schmidt, S. Burger, B. Rech Efficient simulation of plasmonic structures for solar cells International Workshop on Optical Waveguide Theory and Numerical Modelling, Vol. XVIII, pp. 48, Fraunhofer Institute for Applied Optics and Precision Engineering, 2009
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S. Burger, D. Lockau, L. Zschiedrich, F. Schmidt Finite-element simulations of light propagation through subwavelength apertures in metal films International Workshop on Optical Waveguide Theory and Numerical Modelling, Vol. XVIII, pp. 59, Fraunhofer Institute for Applied Optics and Precision Engineering, 2009
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J. Pomplun, L. Zschiedrich, S. Burger, F. Schmidt Reduced basis method for computational lithography Photomask Technology, Vol. 7488, pp. 74882B, Proc. SPIE, 2009 DOI
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J. Pomplun, F. Schmidt Reduced basis method for fast and robust simulation of electromagnetic scattering problems Numerical Methods in Optical Metrology, Vol. 7390, Proc. SPIE, 2009
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2008

L. Zschiedrich, S. Burger, A. Schädle, F. Schmidt A rigorous finite-element domain decomposition method for electromagnetic near field simulations Optical Microlithography XXI, Harry J. Levinson, Mircea V. Dusa (Eds.), Vol. 6924, 2008
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F. Schmidt, S. Burger, J. Pomplun, L. Zschiedrich Advanced FEM analysis of optical waveguides: algorithms and applications Integrated Optics: Devices, Materials, and Technologies XII, Christoph M. Greiner, Christoph A. Wächter (Eds.), Vol. 6896, 2008
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S. Burger, L. Zschiedrich, F. Schmidt, P. Evanschitzky, A. Erdmann Benchmark of rigorous methods for electromagnetic field simulation Photomask Technology, H. Kawahira, L.S. Zurbrick (Eds.), Vol. 7122, pp. 71221S, Proc. SPIE, 2008 DOI
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F. Scholze, Laubis C., G. Ulm, U Dersch, J Pomplun, S Burger, F. Schmidt Evaluation of EUV scatterometry for CD characterization of EUV masks using rigorous FEM-simulation Emerging Lithographic Technologies XII, Frank M. Schellenberg (Ed.), Vol. 6921, 2008
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S. Burger, L. Zschiedrich, B. Kettner, F. Schmidt FEM simulation of light scattering by nonspherical objects Mie Theory 1908 -- 2008, W. Hergert, T. Wriedt (Eds.), pp. 82-83, Universität Bremen, 2008
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L. Zschiedrich, F. 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
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S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt JCMsuite: An Adaptive FEM Solver for Precise Simulations in Nano-Optics Integrated Photonics and Nanophotonics Research and Applications, Integrated Photonics and Nanophotonics Research and Applications, pp. ITuE4, Optical Society of America, 2008
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J Pomplun, S. Burger, F Schmidt, F Scholze, C. Laubis, U. 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
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F. Schmidt, T. Hohage, R. Klose, A. Schädle, L. Zschiedrich Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain J. Comput. Appl. Math., Vol. 218, No. 1, pp. 61-69, 2008
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J. Pomplun, F. Schmidt Reduced Basis Method for Nano Optical Simulations Integrated Photonics and Nanophotonics Research and Applications, Integrated Photonics and Nanophotonics Research and Applications, pp. IWD7, Optical Society of America, 2008
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D. Ruprecht, A. Schädle, F. Schmidt, Lin Zschiedrich Transparent boundary conditions for time-dependent problems SIAM J. Sci. Comput., Vol. 30, No. 5, pp. 2358-2385, 2008 PDF (Preprint)


DOI
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2007

S. Burger, L. Zschiedrich, F. Schmidt, R. Köhle, T. Henkel, B. Küchler, C. Nölscher 3D Simulations of Electromagnetic Fields in Nanostructures Modeling Aspects in Optical Metrology, H. Bosse (Ed.), Vol. 6617, pp. 66170V, Proc. SPIE, 2007
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J. Pomplun, S. Burger, L. Zschiedrich, F. Schmidt Adaptive finite element method for simulation of optical nano structures phys. stat. sol. (b), Vol. 244, pp. 3419-3434, 2007
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A. Schädle, L. Zschiedrich, S. Burger, R. Klose, F. Schmidt Domain Decomposition Method for Maxwell's Equations: Scattering off Periodic Structures J. Comput. Phys., Vol. 226, pp. 477-493, 2007 PDF (Preprint)


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S. Burger, L. Zschiedrich, F. Schmidt, R. Köhle, B. Küchler, C. Nölscher EMF Simulations of Isolated and Periodic 3D Photomask Patterns Photomask Technology, Vol. 6730, pp. 6630, Proc. SPIE, 2007
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J. Pomplun, R. Holzlöhner, S. Burger, L. Zschiedrich, F. Schmidt FEM investigation of leaky modes in hollow core photonic crystal fibers Proc. SPIE, Photonic Crystal Materials and Devices VI, S.-Y. Lin A. Adibi, A. Scherer (Eds.), Vol. 6480, pp. 64800M, 2007
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J. Pomplun, S. Burger, F. Schmidt, F. Scholze, C. Laubis, U. Dersch Finite element analysis of EUV lithography Modeling Aspects in Optical Metrology, H. Bosse (Ed.), Vol. 6617, pp. 661718, Proc. SPIE, 2007
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J. Pomplun, L. Zschiedrich, R. Klose, F. Schmidt, S. Burger Finite element simulation of radiation losses in photonic crystal fibers phys. stat. sol. (a), Vol. 204, No. 11, pp. 3822-3837, 2007
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L. Zschiedrich, S. Burger, J. Pomplun, F. Schmidt Goal oriented adaptive finite element method for precise simulation of optical components Proc. SPIE, Integrated Optics: Devices, Materials, and Technologies XI, Y. Sidorin, Ch. A. Waechter (Eds.), Vol. 6475, pp. 64750H, 2007
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F. Scholze, C. Laubis, U. Dersch, J. Pomplun, S. Burger, F. Schmidt The influence of line edge roughness and CD uniformity on EUV scatterometry for CD characterization of EUV masks Modeling Aspects in Optical Metrology, H. Bosse (Ed.), Vol. 6617, pp. 66171A, Proc. SPIE, 2007
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A. Schädle, D. Ruprecht, F. Schmidt Transparent boundary conditions - the pole condition approach Proceedings of Waves 2007, N. Biggs et.al. (Ed.), pp. 301-303, 2007
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Daniel Ruprecht, Achim Schädle, Frank Schmidt, Lin Zschiedrich Transparent boundary conditons for time-dependent problems Appeared in: SIAM J. Sci. Comput., Vol. 30 (5) , 2358-2385 (2008), PDF (Preprint)



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2006

L. Zschiedrich, R. Klose, A. Schädle, F. 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
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S. Burger, R. Klose, A. Schädle, F. Schmidt, L. Zschiedrich Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures Scientific Computing in Electrical Engineering, A. M. Anile, G. Ali, G. Mascali (Eds.), pp. 169-175, Springer Verlag, 2006
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S. Burger, L. Zschiedrich, A. Schädle, R. Klose, B. Kettner, J. Pomplun, T. Pollok, F. Schmidt Advanced FEM Analysis of Nano-Optical Devices Proc. Symposium on Photonics Technologies for the 7th Framework Programme, 2006
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L. Zschiedrich, S. Burger, B. Kettner, F. Schmidt Advanced Finite Element Method for Nano-Resonators Physics and Simulation of Optoelectronic Devices XIV, M. Osinski, F. Henneberger, Y. Arakawa (Eds.), Vol. 6115, pp. 164-174, Proc. SPIE, 2006
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S. Linden, C. Enkrich, G. Dolling, M. W. Klein, J. Zhou, T. Koschny, C. M. Soukoulis, S. Burger, F. Schmidt, M. Wegener Photonic metamaterials: Magnetism at optical frequencies IEEE Journal of Selected Topics in Quantum Electronics, Vol. 12, pp. 1097-1105, 2006
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J. Pomplun, S. Burger, F. Schmidt, L. Zschiedrich, F. Scholze Rigorous FEM-Simulation of EUV-Masks: Influence of Shape and Material Parameters Photomask Technology, P. M. Martin, R. J. Naber (Eds.), Vol. 6349, pp. 63493D, Proc. SPIE, 2006
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S. Burger, R. Köhle, L. Zschiedrich, H. Nguyen, F. Schmidt, R. März, C. Nölscher Rigorous Simulation of 3D Masks Photomask Technology, P. M. Martin, R. J. Naber (Eds.), Vol. 6349, pp. 63494Z, Proc. SPIE, 2006
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2005

R. Klose, S. Burger, F. Schmidt, L. 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
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S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation Photomask Technology, J. T. Weed, P. M. Martin (Eds.), Vol. 5992, pp. 378-389, Proc. SPIE, 2005
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L. Zschiedrich, S. Burger, A. Schädle, F. Schmidt Domain decomposition method for electromagnetic scattering problems Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices, pp. 55-56, 2005
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S. Burger, R. Klose, A. Schädle, F. Schmidt, L. Zschiedrich FEM modelling of 3D photonic crystals and photonic crystal waveguides Integrated Optics: Devices, Materials, and Technologies IX, Y. Sidorin, C. A. Wächter (Eds.), Vol. 5728, pp. 164-173, Proc. SPIE, 2005
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F. Schmidt, S. Burger, A. Schädle, R. Klose Finite element methods for optical device design Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices, pp. 57-58, 2005
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L. Zschiedrich, S. Burger, R. Klose, A. Schädle, F. Schmidt JCMmode: an adaptive finite element solver for the computation of leaky modes Integrated Optics: Devices, Materials, and Technologies IX, Y. Sidorin, C. A. Wächter (Eds.), Vol. 5728, pp. 192-202, Proc. SPIE, 2005
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C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, C. Zhou, T. Koschny, C. M. Soukoulis Magnetic metamaterials at telecommunication and visible frequencies Phys. Rev. Lett., Vol. 95, pp. 203901, 2005
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S. Burger, L. Zschiedrich, R. Klose, A. Schädle, F. Schmidt, C. Enkrich, S. Linden, M. Wegener, C. M. Soukoulis Numerical Investigation of Light Scattering off Split-Ring Resonators Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev (Eds.), Vol. 5955, pp. 18-26, Proc. SPIE, 2005
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2004

S. Burger, R. Klose, R. März, A. Schädle, F. Schmidt, L. Zschiedrich Efficient Finite Element Methods for the Design of Microoptical Components Proc. Microoptics Conf. 2004, pp. J8, 2004
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F. Schmidt Pole Condition: A new Approach to Solve Scattering Problems Oberwolfach Report, Vol. 1, No. 1, pp. 615-617, 2004
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2003

S. Burger, F. Schmidt, L. Zschiedrich A fast and efficient Finite-Element Solver for 2D and 3D Photonic Band-Gap Problems Dig. LEOS/IEEE 2003 Summer Topicals, pp. 75, 2003
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F. Schmidt, T. Friese, L. Zschiedrich, P. Deuflhard Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design Mathematics - Key Technology for the Future: Joint Problems between Universities and Industry, W. Jäger, et al. (Eds.), pp. 270-292, Springer, 2003
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T. Hohage, F. Schmidt, L. Zschiedrich Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory SIAM J. Math. Anal., Vol. 35, No. 1, pp. 183-210, 2003
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T. Hohage, F. Schmidt, L. Zschiedrich Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method SIAM J. Math. Anal., Vol. 35, No. 3, pp. 547-560, 2003
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2002

Frank Schmidt A New Approach to Coupled Interior-Exterior Helmholtz-Type Problems: Theory and Algorithms ZIB-Report 02-45 PDF



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T. Hohage, F. Schmidt, L. Zschiedrich A new method for the solution of scattering problems Proceedings of the JEE'02 Symposium, Toulouse, Bas Michielsen, Francine Decavèle (Eds.), pp. 251-256, 2002
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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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F. Schmidt Solution of Interior-Exterior Helmholtz-Type Problems Based on the Pole Condition Concept: Theory and Algorithms Habilitation thesis, Free University Berlin, Fachbereich Mathematik und Informatik 2002
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2001

D. Yevick, T. Friese, F. Schmidt A Comparison of Transparent Boundary Conditions for the Fresnel Equation J. Comput. Phys., Vol. 168, No. 2, pp. 433-444, 2001
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Thorsten Hohage, Frank Schmidt, Lin Zschiedrich Solving time-harmonic scattering problems based on the condition: Theory 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 (Preprint)



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Thorsten Hohage, Frank Schmidt, Lin Zschiedrich Solving time-harmonic scattering problems based on the pole condition: Convergence of the PML method 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 (Preprint)



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F. 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
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2000

F. Schmidt Discrete Nonreflecting Boundary Conditions for the Helmholtz equation Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2000, Santiago de Compostella, Spain, A. Bermúdez, D. Gómez, C. Hazard, P. Joly, J. E. Roberts (Eds.), pp. 921-925, 2000
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T. Friese, F. Schmidt, D. Yevick Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation J. Comput. Phys., Vol. 165, No. 2, pp. 645-659, 2000
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1999

T. Friese, P. Deuflhard, F. Schmidt A Multigrid Method for the Complex Helmholtz Eigenvalue Problem Procs. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering (DD11), UK, C.-H. Lai, P. E. Bjørstad, M. Cross, O. B. Widlund (Eds.), pp. 19-26, DDM.org, 1999
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F. Schmidt Construction of Discrete Transparent Boundary Conditions for Schrödinger-Type equations Surv. Math. Ind., Vol. 9, pp. 87-100, 1999
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Frank Schmidt, Tilmann Friese, David Yevick Transparent Boundary Conditions for Split-Step Pade Approximations of the One-Way Helmholtz Equation Appeared in: J. Comput. Phys. 170 (2001) 696-719, PDF (Preprint)



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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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F. Schmidt Computation of Discrete Transparent Boundary Conditions for the 2D Helmholtz equation Optical and Quantum Electronics, Vol. 30, No. 5,6, pp. 427-441, 1998
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F. Schmidt Simulation of Scattering and Reflection Problems via Solution of the 2D Helmholtz Equation Integrated Photonics Research, OSA Technical Digest Series, Vol. 4, pp. 408-410, 1998
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1997

Peter Deuflhard, Tilmann Friese, Frank Schmidt A Nonlinear Multigrid Eigenproblem Solver for the Complex Helmholtz Equation Appeared under the title: " A Multigrid Method for the Complex Helmholtz Eigenvalue Problem" in: Choi-Hong Lai et al. (eds.) Proc. 11th Int. Conf. on Domain Decomposition Methods. Bergen: DDM-org Press 1999. Pp. 18-26, PDF (Preprint)



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D. Yevick, J. Yu, F. Schmidt Analytic Studies of Absorbing and Impedance-Matched Boundary Layers IEEE Photonics Technology Letters, Vol. 9, pp. 73-75, 1997
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F. Schmidt, D. Yevick Discrete Transparent Boundary Conditions for Schrödinger-Type Equations J. Comput. Phys., Vol. 134, pp. 96-107, 1997
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F. Schmidt, D. Yevick Discrete Transparent Boundary Conditions for the Fresnel Equation Proceedings of the 8th European Conference on Integrated Optics, Royal Institute of Technology, Stockholm, Sweden, 2-4 April, pp. 222-225, 1997
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1996

P. Deuflhard, T. Friese, F. Schmidt, R. März, H.-P. Nolting Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips Mathematik - Schlüsseltechnologie für die Zukunft, K. -H. et al. Hoffmann (Ed.), pp. 267-279, Springer Verlag, 1996
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F. Schmidt, R. März On the Reference Wave Vector of Paraxial Helmholtz Equations IEEE Journal of Lightwave Technology, Vol. 14, pp. 2395-2400, 1996
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1995

F. Schmidt, P. Deuflhard Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel's Equation. Comput. Math. Appl., Vol. 29, pp. 53-76, 1995
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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

F. Schmidt, P. Deuflhard Discrete Transparent Boundary Conditions for Fresnel's Equation Integrated Photonics Research, San Francisco, California, USA, February, 17-19, pp. 45-47, 1994
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Frank Schmidt, Reinhard März On the Reference Wave Vector pf Paraxial Helmholtz Equations Appeared in: IEEE Journal of Lightwave Technology 14 (1996) 2395-2400, PDF (Preprint)



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F. Schmidt Phase-adaptive basis functions for a multilevel finite element solution of the paraxial wave equation Euro-Opto Series: Linear and Nonlinear Integrated Optics., Lindau, Germany, April,11-13, D. Yevick G. C. Righini (Ed.), pp. 57-61, 1994
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1993

F. Schmidt An Adaptive Approach to the Numerical Solution of Fresnel's Wave Equation. IEEE Journal of Lightwave Technology, Vol. 11, No. 9, pp. 1425-1435, 1993 PDF (Preprint)


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1992

F. Schmidt, H.-P. Nolting Adaptive Multilevel Beam Propagation Method. IEEE Photonics Technology Letter, Vol. 4, pp. 1381-1383, 1992
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F. Schmidt, H.-P. Nolting An Adaptive Approach to a Beam Propagation Method Integrated Photonics Research, New Orleans, Louisiana, USA, April 13-16, pp. 302-303, 1992
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F. Schmidt, K. Gottschling Improved Method of Mode Determination in Planar Optical Waveguides Using Line Transmission Approach J. Opt. Commun., Vol. 12, No. 3, pp. 112-114, 1992
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1990

F. Schmidt Simulation und Herstellung von Faserschleifkopplern Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin, R. Math./Naturwiss., Vol. 39, No. 2, pp. 115-118, 1990
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1989

F. Schmidt Ingenieurmäßige Berechnung der Feldausbreitung in optischen Bauelementen der Lichtwellenleitertechnik Doctoral thesis, Department of Electrial Engineering - Optical Telecommunication Theory, Humboldt University Berlin 1989
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1987

E. Philippow, F. Schmidt Besondere Lösungen in harmonisch erregten Ferroresonanz-Kreisen 4. Internationales Symposium Theoretische Elektrotechnik Ilmenau, Vol. 2, pp. 26-32, 1987
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1986

F. Schmidt Untersuchung heteronomer Differentialgleichungen mit Hilfe des Analogrechners Diploma thesis, Department of Theoretical Electrial Engineering, Technical University Ilmenau 1986
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