@inproceedings{FrieseDeuflhardSchmidt1999, author = {Friese, T. and Deuflhard, Peter and Schmidt, Frank}, title = {A Multigrid Method for the Complex Helmholtz Eigenvalue Problem}, booktitle = {Procs. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering (DD11), UK}, editor = {Lai, Choi-Hong and Bj{\o}rstad, Petter E. and Cross, Mark and Widlund, Olof}, publisher = {DDM.org}, pages = {19 -- 26}, year = {1999}, language = {en} } @article{FrieseSchmidtYevick2000, author = {Friese, T. and Schmidt, Frank and Yevick, David}, title = {Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation}, volume = {165}, journal = {J. Comput. Phys.}, number = {2}, doi = {10.1006/jcph.2000.6637}, pages = {645 -- 659}, year = {2000}, language = {en} } @article{DeckerBurgerLindenetal.2009, author = {Decker, Manuel and Burger, Sven and Linden, S. and Wegener, M.}, title = {Magnetization waves in split-ring-resonator arrays}, volume = {80}, journal = {Phys. Rev. B}, number = {19}, doi = {10.1103/PhysRevB.80.193102}, pages = {193102}, year = {2009}, language = {en} } @misc{Teschke1998, author = {Teschke, G.}, title = {Komplexwertige Wavelets und Phaseninformation, Anwendungen in der Signalverarbeitung}, publisher = {Universit{\"a}t Potsdam}, address = {Potsdam}, year = {1998}, language = {en} } @article{DollingKleinWegeneretal.2007, author = {Dolling, G. and Klein, M. and Wegener, M. and Sch{\"a}dle, Achim and Burger, Sven and Linden, S.}, title = {Negative beam displacement for negative-index photonic metamaterials}, volume = {15}, journal = {Optics Express}, number = {21}, doi = {10.1364/OE.15.014219}, pages = {14219 -- 14227}, year = {2007}, language = {en} } @article{DollingWegenerSchaedleetal.2006, author = {Dolling, G. and Wegener, M. and Sch{\"a}dle, Achim and Burger, Sven and Linden, S.}, title = {Observation of magnetization waves in negative-index photonic metamaterials}, volume = {89}, journal = {Appl. Phys. Lett.}, doi = {10.1063/1.2403905}, pages = {231118}, year = {2006}, language = {en} } @article{EnkrichWegenerLindenetal.2005, author = {Enkrich, Christian and Wegener, M. and Linden, S. and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank and Zhou, C. and Koschny, T. and Soukoulis, C.}, title = {Magnetic metamaterials at telecommunication and visible frequencies}, volume = {95}, journal = {Phys. Rev. Lett.}, arxiv = {http://arxiv.org/abs/cond-mat/0504774}, doi = {10.1103/PhysRevLett.95.203901}, pages = {203901}, year = {2005}, language = {en} } @article{LindenEnkrichDollingetal.2006, author = {Linden, S. and Enkrich, Christian and Dolling, G. and Klein, M. and Zhou, J. and Koschny, T. and Soukoulis, C. and Burger, Sven and Schmidt, Frank and Wegener, M.}, title = {Photonic metamaterials: Magnetism at Optical Frequencies}, volume = {12}, journal = {IEEE Journal of Selected Topics in Quantum Electronics}, number = {6}, doi = {10.1109/JSTQE.2006.880600}, pages = {1097 -- 1105}, year = {2006}, language = {en} } @article{LopezFernandezLubichPalenciaetal.2005, author = {L{\´o}pez-Fern{\´a}ndez, Maria and Lubich, Christian and Palencia, Cesar and Sch{\"a}dle, Achim}, title = {Fast Runge-Kutta approximation of inhomogeneous parabolic equations}, volume = {102}, journal = {Numer. Math.}, doi = {http://dx.doi.org/10.1007/s00211-005-0624-3}, pages = {277 -- 291}, year = {2005}, language = {en} } @article{LopezFernandezLubichSchaedle2008, author = {Lopez-Fernandez, Maria and Lubich, Christian and Sch{\"a}dle, Achim}, title = {Adaptive, Fast and Oblivious Convolution in Evolution Equations with Memory}, volume = {30}, journal = {SIAM J. Sci. Comput.}, number = {2}, doi = {/10.1137/060674168}, pages = {1015 -- 1037}, year = {2008}, language = {en} } @article{LopezFernandezPalenciaSchaedle2006, author = {Lopez-Fernandez, Maria and Palencia, Cesar and Sch{\"a}dle, Achim}, title = {A spectral order method for inverting sectorial Laplace transforms}, volume = {44}, journal = {SIAM J. Numer. Anal.}, number = {3}, doi = {/10.1137/050629653}, pages = {1332 -- 1350}, year = {2006}, language = {en} } @article{LockauZschiedrichBurger2009, author = {Lockau, D. and Zschiedrich, Lin and Burger, Sven}, title = {Accurate simulation of light transmission through subwavelength apertures in metal films}, volume = {11}, journal = {J. Opt. A}, arxiv = {http://arxiv.org/abs/0902.2862}, doi = {10.1088/1464-4258/11/11/114013}, pages = {114013}, year = {2009}, language = {en} } @inproceedings{LockauZschiedrichSchmidtetal.2009, author = {Lockau, D. and Zschiedrich, Lin and Schmidt, Frank and Burger, Sven and Rech, Bernd}, title = {Efficient simulation of plasmonic structures for solar cells}, volume = {XVIII}, booktitle = {International Workshop on Optical Waveguide Theory and Numerical Modelling}, publisher = {Fraunhofer Institute for Applied Optics and Precision Engineering}, pages = {48}, year = {2009}, language = {en} } @inproceedings{LockauZschiedrichBurgeretal.2011, author = {Lockau, D. and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank and Ruske, F. and Rech, Bernd}, title = {Rigorous optical simulation of light management in crystalline silicon thin film solar cells with rough interface textures}, volume = {7933}, booktitle = {Physics and Simulation of Optoelectronic Devices XIX}, publisher = {Proc. SPIE}, doi = {10.1117/12.874967}, pages = {79330M}, year = {2011}, language = {en} } @misc{Marwitz2005, type = {Master Thesis}, author = {Marwitz, Ch.}, title = {Numerische Berechnung von modifizierten Blochmoden in der Bandl{\"u}cke periodischer Strukturen}, year = {2005}, language = {en} } @inproceedings{MaerzBurgerForcheletal.2004, author = {M{\"a}rz, Reinhard and Burger, Sven and Forchel, A. and Heidrich, H. and Hess, O. and Michaelis, D. and Wandel, K. and Wehrspohn, R.}, title = {High-contrast planar photonic crystals}, volume = {5597}, booktitle = {Nanophotonics for Communication}, editor = {Lipson, M.}, publisher = {Proc. SPIE}, doi = {10.1117/12.580070}, pages = {68 -- 81}, year = {2004}, language = {en} } @incollection{MaerzBurgerGolkaetal.2004, author = {M{\"a}rz, Reinhard and Burger, Sven and Golka, S. and Forchel, A. and Herrmann, Christian and Jamois, C. and Michaelis, D. and Wandel, K.}, title = {Planar High Index-Contrast Photonic Crystals for Telecom Applications}, booktitle = {Photonic Crystals - Advances in Design, Fabrication and Characterization}, publisher = {Wiley-VCH}, doi = {10.1002/3527602593.ch16}, pages = {308 -- 329}, year = {2004}, language = {en} } @article{KalkbrennerHakansonSchaedleetal.2005, author = {Kalkbrenner, T. and Hakanson, U. and Sch{\"a}dle, Achim and Burger, Sven and Henkel, C. and Sandoghdar, V.}, title = {Optical microscopy using the spectral modifications of a nano-antenna}, volume = {95}, journal = {Phys. Rev. Lett.}, doi = {10.1103/PhysRevLett.95.200801}, pages = {200801}, year = {2005}, language = {en} } @article{KarlKettnerBurgeretal.2009, author = {Karl, M. and Kettner, Benjamin and Burger, Sven and Schmidt, Frank and Kalt, H. and Hetterich, M.}, title = {Dependencies of micro-pillar cavity quality factors calculated with finite element methods}, volume = {17}, journal = {Optics Express}, doi = {10.1364/OE.17.001144}, pages = {1144}, year = {2009}, language = {en} } @article{NeveOzPollokBurgeretal.2009, author = {Neve-Oz, Y. and Pollok, T. and Burger, Sven and Golosovsky, M. and Davidov, D.}, title = {Fast Light and Focusing in 2D Photonic Quasicrystals}, volume = {5}, journal = {PIERS Online}, doi = {10.2529/PIERS081223080021}, pages = {451}, year = {2009}, language = {en} } @article{NeveOzPollokBurgeretal.2010, author = {Neve-Oz, Y. and Pollok, T. and Burger, Sven and Golosovsky, M. and Davidov, D.}, title = {Resonant Transmission of Electromagnetic Waves through 2D Photonic Quasicrystals}, volume = {107}, journal = {J. Appl. Phys.}, doi = {10.1063/1.3329542}, pages = {063105}, year = {2010}, language = {en} } @article{KatoBurgerScholze2012, author = {Kato, Akiko and Burger, Sven and Scholze, Frank}, title = {Analytical modeling and 3D finite element simulation of line edge roughness in scatterometry}, volume = {51}, journal = {Appl. Optics}, arxiv = {http://arxiv.org/abs/1208.4220}, doi = {10.1364/AO.51.006457}, pages = {6457 -- 6464}, year = {2012}, language = {en} } @article{MichaelisWaechterBurgeretal.2006, author = {Michaelis, D. and W{\"a}chter, Christoph and Burger, Sven and Zschiedrich, Lin and Br{\"a}uer, Andreas}, title = {Micro-optically assisted high index waveguide coupling}, volume = {45}, journal = {Appl. Opt.}, doi = {10.1364/AO.45.001831}, pages = {1831 -- 1838}, year = {2006}, language = {en} } @misc{Kettner2006, type = {Master Thesis}, author = {Kettner, Benjamin}, title = {Ein Algorithmus zur prismatoidalen Diskretisierung von unbeschr{\"a}nkten Außenr{\"a}umen in 2D und 3D unter Einhaltung von Nebenbedingungen}, year = {2006}, language = {en} } @inproceedings{KettnerSchmidt2011, author = {Kettner, Benjamin and Schmidt, Frank}, title = {The pole condition as transparent boundary condition for resonance problems}, volume = {7933}, booktitle = {Physics and Simulation of Optoelectronic Devices XIX}, publisher = {Proc. SPIE}, doi = {10.1117/12.874752}, pages = {79331B}, year = {2011}, language = {en} } @inproceedings{KloseBurgerSchmidtetal.2005, author = {Klose, Roland and Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {A multilevel method for the computation of eigenmodes in 3D photonic crystals}, booktitle = {Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic Devices}, doi = {10.1109/NUSOD.2005.1518135}, pages = {61 -- 62}, year = {2005}, language = {en} } @inproceedings{KleemannKurzHetzleretal.2011, author = {Kleemann, B. and Kurz, J. and Hetzler, J. and Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {Fast online inverse scattering with Reduced Basis Method (RBM) for a 3D phase grating with specific line roughness}, volume = {8083}, booktitle = {Modelling Aspects in Optical Metrology III}, publisher = {Proc. SPIE}, doi = {10.1117/12.889364}, pages = {808309}, year = {2011}, language = {en} } @article{NeveOzPollokBurgeretal.2010, author = {Neve-Oz, Y. and Pollok, T. and Burger, Sven and Golosovsky, M. and Lifshitz, R. and Davidov, D.}, title = {Negative Refraction and Omni Directionality in 2D Photonic Quasicrystal Superstructure}, volume = {1281}, journal = {AIP Conference Proceedings}, publisher = {AIP}, doi = {10.1063/1.3498134}, pages = {1622}, year = {2010}, language = {en} } @inproceedings{NeveOzPollokBurgeretal.2011, author = {Neve-Oz, Y. and Pollok, T. and Burger, Sven and Golosovsky, M. and Davidov, D.}, title = {Localized resonant states and transmission in a two- dimensional photonic quasicrystal}, volume = {1}, booktitle = {Proc. of the 5th International Conference on Applied Mathematics, Simulation, Modelling (ASM 'II), Corfu, 2011}, editor = {Mastorakis, N.}, isbn = {978-1-61804-016-9}, pages = {178 -- 182}, year = {2011}, language = {en} } @article{PomplunSchmidt2010, author = {Pomplun, Jan and Schmidt, Frank}, title = {Accelerated a posteriori error estimation for the reduced basis method with application to 3D electromagnetic scattering problems}, volume = {32}, journal = {SIAM J. Sci. Comput.}, doi = {10.1137/090760271}, pages = {498 -- 520}, year = {2010}, language = {en} } @inproceedings{PomplunSchmidt2009, author = {Pomplun, Jan and Schmidt, Frank}, title = {Reduced basis method for fast and robust simulation of electromagnetic scattering problems}, volume = {7390}, booktitle = {Numerical Methods in Optical Metrology}, publisher = {Proc. SPIE}, doi = {10.1117/12.827588}, pages = {73900I}, year = {2009}, language = {en} } @inproceedings{PomplunZschiedrichBurgeretal.2009, author = {Pomplun, Jan and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank}, title = {Reduced basis method for computational lithography}, volume = {7488}, booktitle = {Photomask Technology}, publisher = {Proc. SPIE}, doi = {10.1117/12.829639}, pages = {74882B}, year = {2009}, language = {en} } @article{PearceWiederheckerPoultonetal.2007, author = {Pearce, G. J. and Wiederhecker, G. S. and Poulton, Christopher G. and Burger, Sven and Russell, P. St. J.}, title = {Models for guidance in kagome-structured hollow-core photonic crystal fibres}, volume = {15}, journal = {Optics Express}, doi = {10.1364/OE.15.012680}, pages = {12680}, year = {2007}, language = {en} } @inproceedings{PetracekMaesBurgeretal.2012, author = {Petracek, Jiri and Maes, Bjorn and Burger, Sven and Luksch, Jaroslav and Kwiecien, Pavel and Richter, Ivan}, title = {Simulation of high-Q nanocavities with 1D photonic gap}, booktitle = {Transparent Optical Networks (ICTON)}, publisher = {IEEE}, doi = {10.1109/ICTON.2012.6253762}, pages = {1 -- 4}, year = {2012}, language = {en} } @inproceedings{PetracekLukschMaesetal.2012, author = {Petracek, Jiri and Luksch, Jaroslav and Maes, Bjorn and Burger, Sven and Kwiecien, Pavel and Richter, Ivan}, title = {Simulation of photonic crystal nanocavities using a bidirectional eigenmode propagation algorithm: a comparative study}, booktitle = {Micro- and nanophotonic materials and devices}, editor = {Ferrari, M. and Marciniak, M. and Righini, G. and Szoplik, T. and Varas, S.}, publisher = {IFN-CNR, Trento, Italy}, isbn = {9788377980200}, pages = {109 -- 112}, year = {2012}, language = {en} } @misc{Pomplun2006, type = {Master Thesis}, author = {Pomplun, Jan}, title = {Rigorous FEM-Simulation of Maxwell's Equations for EUV-Lithography}, year = {2006}, language = {en} } @misc{Pollok2007, type = {Master Thesis}, author = {Pollok, T.}, title = {Separabilit{\"a}t von Helmholtz- und Maxwellgleichungen {\"u}ber unbeschr{\"a}nkten heterogenen Gebieten}, year = {2007}, language = {en} } @inproceedings{ScholzeLaubisUlmetal.2008, author = {Scholze, Frank and Laubis, Christian and Ulm, Gerhard and Dersch, Uwe and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Evaluation of EUV scatterometry for CD characterization of EUV masks using rigorous FEM-simulation}, volume = {6921}, booktitle = {Emerging Lithographic Technologies XII}, editor = {Schellenberg, Frank}, publisher = {SPIE}, year = {2008}, language = {en} } @inproceedings{PomplunBurgerSchmidtetal.2008, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Scholze, Frank and Laubis, Christian and Dersch, Uwe}, title = {Metrology of EUV masks by EUV-scatterometry and finite element analysis}, volume = {7028}, booktitle = {Photomask and Next-Generation Lithography Mask Technology XV}, editor = {Horiuchi, Toshiyuki}, publisher = {SPIE}, year = {2008}, language = {en} } @inproceedings{PomplunBurgerSchmidtetal.2006, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Zschiedrich, Lin and Scholze, Frank}, title = {Rigorous FEM-Simulation of EUV-Masks: Influence of shape and material parameters}, volume = {6349}, booktitle = {Photomask Technology}, editor = {Martin, P. and Naber, R.}, publisher = {Proc. SPIE}, doi = {10.1117/12.686828}, pages = {63493D}, year = {2006}, language = {en} } @inproceedings{PomplunBurgerSchmidtetal.2007, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Scholze, Frank and Laubis, Christian and Dersch, Uwe}, title = {Finite element analysis of EUV lithography}, volume = {6617}, booktitle = {Modeling Aspects in Optical Metrology}, editor = {Bosse, Harald}, publisher = {Proc. SPIE}, doi = {10.1117/12.726156}, pages = {661718}, year = {2007}, language = {en} } @inproceedings{SchmidtYevick1997, author = {Schmidt, Frank and Yevick, David}, title = {Discrete Transparent Boundary Conditions for the Fresnel Equation}, booktitle = {Proceedings of the 8th European Conference on Integrated Optics}, address = {Royal Institute of Technology, Stockholm, Sweden}, pages = {222 -- 225}, year = {1997}, language = {en} } @inproceedings{SchaedleZschiedrich2007, author = {Sch{\"a}dle, Achim and Zschiedrich, Lin}, title = {Additive Schwarz method for scattering problems using the PML method at interfaces}, volume = {55}, booktitle = {Domain Decomposition Methods in Science and Engineering XVI}, editor = {Widlund, Olof and Keyes, David}, publisher = {Springer}, pages = {205 -- 212}, year = {2007}, language = {en} } @article{SchaedleZschiedrichBurgeretal.2007, author = {Sch{\"a}dle, Achim and Zschiedrich, Lin and Burger, Sven and Klose, Roland and Schmidt, Frank}, title = {Domain Decomposition Method for Maxwell's Equations}, volume = {226}, journal = {J. Comput. Phys.}, doi = {10.1016/j.jcp.2007.04.017}, pages = {477 -- 493}, year = {2007}, language = {en} } @article{SchlosserSchothBurgeretal.2011, author = {Schlosser, Felix and Schoth, Mario and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, S. and Richter, Marten}, title = {Ultrafast nonlinear spectroscopy with spatially confined fields}, volume = {1398}, journal = {AIP Conference Proceedings}, publisher = {AIP}, doi = {10.1063/1.3644223}, pages = {94 -- 96}, year = {2011}, language = {en} } @inproceedings{SchlosserSchothBurgeretal.2012, author = {Schlosser, Felix and Schoth, Mario and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, Shaul and Richter, Marten}, title = {Coherent Nonlinear Spectroscopy with Spatiotemporally Controlled Fields}, booktitle = {CLEO/QELS}, publisher = {Optical Society of America}, doi = {10.1364/QELS.2012.QF3D.6}, pages = {QF3D.6}, year = {2012}, language = {en} } @inproceedings{SchlosserSchothHiremathetal.2012, author = {Schlosser, Felix and Schoth, Mario and Hiremath, Kirankumar and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, Shaul and Richter, Marten}, title = {Combining nanooptical fields and coherent spectroscopy on systems with delocalized excitons}, volume = {8260}, booktitle = {Proc. SPIE}, doi = {10.1117/12.906671}, pages = {82601V}, year = {2012}, language = {en} } @inproceedings{SchmidtPomplunZschiedrichetal.2011, author = {Schmidt, Frank and Pomplun, Jan and Zschiedrich, Lin and Burger, Sven}, title = {Fast online simulation of 3D nanophotonic structures by the reduced basis method}, volume = {7941}, booktitle = {Integrated Optics: Devices, Materials, and Technologies XV}, publisher = {Proc. SPIE}, doi = {10.1117/12.874726}, pages = {79410G}, year = {2011}, language = {en} } @inproceedings{Schmidt1994, author = {Schmidt, Frank}, title = {Phase-adaptive basis functions for a multilevel finite element solution of the paraxial wave equation}, booktitle = {Euro-Opto Series}, editor = {G. C. Righini, D.}, address = {Lindau, Germany}, pages = {57 -- 61}, year = {1994}, language = {en} } @article{Schmidt1998, author = {Schmidt, Frank}, title = {Computation of Discrete Transparent Boundary Conditions for the 2D Helmholtz equation}, volume = {30}, journal = {Optical and Quantum Electronics}, number = {5,6}, pages = {427 -- 441}, year = {1998}, language = {en} } @inproceedings{Schmidt1998, author = {Schmidt, Frank}, title = {Simulation of Scattering and Reflection Problems via Solution of the 2D Helmholtz Equation}, volume = {4}, booktitle = {Integrated Photonics Research}, pages = {408 -- 410}, year = {1998}, language = {en} } @article{Schmidt1999, author = {Schmidt, Frank}, title = {Construction of Discrete Transparent Boundary Conditions for Schr{\"o}dinger-Type equations}, volume = {9}, journal = {Surv. Math. Ind.}, pages = {87 -- 100}, year = {1999}, language = {en} } @article{SchmidtFrieseYevick2001, author = {Schmidt, Frank and Friese, T. and Yevick, David}, title = {Transparent Boundary Conditions for Split-Step Pad{\´e} Approximations of the One-Way Helmholtz equation}, volume = {170}, journal = {J. Comp. Phys}, pages = {696 -- 719}, year = {2001}, language = {en} } @incollection{SchmidtFrieseZschiedrichetal.2003, author = {Schmidt, Frank and Friese, T. and Zschiedrich, Lin and Deuflhard, Peter}, title = {Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design}, booktitle = {Mathematics - Key Technology for the Future}, publisher = {Springer}, pages = {270 -- 292}, year = {2003}, language = {en} } @article{SchmidtHohageKloseetal.2008, author = {Schmidt, Frank and Hohage, Thorsten and Klose, Roland and Sch{\"a}dle, Achim and Zschiedrich, Lin}, title = {Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain}, volume = {218}, journal = {J. Comput. Appl. Math.}, number = {1}, doi = {10.1016/j.cam.2007.04.046}, pages = {61 -- 69}, year = {2008}, language = {en} } @article{RichterSchlosserSchothetal.2012, author = {Richter, Marten and Schlosser, Felix and Schoth, Mario and Burger, Sven and Schmidt, Frank and Knorr, Andreas and Mukamel, Shaul}, title = {Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique}, volume = {86}, journal = {Phys. Rev. B}, arxiv = {http://arxiv.org/abs/1201.1765}, doi = {10.1103/PhysRevB.86.085308}, pages = {085308}, year = {2012}, language = {en} } @inproceedings{RozovaPomplunZschiedrichetal.2012, author = {Rozova, Maria and Pomplun, Jan and Zschiedrich, Lin and Schmidt, Frank and Burger, Sven}, title = {3D finite element simulation of optical modes in VCSELs}, volume = {8255}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1111.4393}, doi = {10.1117/12.906372}, pages = {82550K}, year = {2012}, language = {en} } @misc{Ruprecht2005, type = {Master Thesis}, author = {Ruprecht, Daniel}, title = {Konstruktion transparenter Randbedingungen f{\"u}r die Wellengleichung mit Hilfe der Polbedingung}, year = {2005}, language = {en} } @article{RuprechtSchaedleSchmidtetal.2008, author = {Ruprecht, Daniel and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {Transparent boundary conditions for time-dependent problems}, volume = {30}, journal = {SIAM J. Sci. Comput.}, number = {5}, doi = {10.1137/070692637}, pages = {2358 -- 2385}, year = {2008}, language = {en} } @inproceedings{SchmidtBurgerPomplunetal.2008, author = {Schmidt, Frank and Burger, Sven and Pomplun, Jan and Zschiedrich, Lin}, title = {Advanced FEM analysis of optical waveguides: algorithms and applications}, volume = {6896}, booktitle = {Integrated Optics}, editor = {Greiner, Christoph and W{\"a}chter, Christoph}, publisher = {SPIE}, doi = {10.1117/12.765720}, pages = {689602}, year = {2008}, language = {en} } @misc{Sim2005, type = {Master Thesis}, author = {Sim, I.}, title = {Analysis und Numerik der Resonanzen des Schr{\"o}dinger-Operators in 1D}, year = {2005}, language = {en} } @article{PomplunBurgerSchmidtetal.2010, author = {Pomplun, Jan and Burger, Sven and Schmidt, Frank and Schliwa, Andrei and Bimberg, Dieter and Pietrzak, Agnieszka and Wenzel, Hans and Erbert, G{\"o}tz}, title = {Finite element simulation of the optical modes of semiconductor lasers}, volume = {247}, journal = {Phys. Status Solidi B}, doi = {10.1002/pssb.200945451}, pages = {846 -- 853}, year = {2010}, language = {en} } @article{PomplunBurgerZschiedrichetal.2007, author = {Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {Adaptive finite element method for simulation of optical nano structures}, volume = {244}, journal = {Phys. Status Solidi B}, arxiv = {http://arxiv.org/abs/0711.2149}, doi = {10.1002/pssb.200743192}, pages = {3419 -- 3434}, year = {2007}, language = {en} } @inproceedings{PomplunHolzloehnerBurgeretal.2007, author = {Pomplun, Jan and Holzl{\"o}hner, Ronald and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {FEM investigation of leaky modes in hollow core photonic crystal fibers}, volume = {6480}, booktitle = {Proc. SPIE, Photonic Crystal Materials and Devices VI}, editor = {Adibi, Ali and Scherer, Axel and Lin, Shawn-Yu}, pages = {64800M}, year = {2007}, language = {en} } @incollection{PomplunSchmidt2010, author = {Pomplun, Jan and Schmidt, Frank}, title = {Reduced Basis Method for Electromagnetic Field Computations}, booktitle = {Scientific Computing in Electrical Engineering SCEE 2008}, publisher = {Springer Berlin Heidelberg}, doi = {10.1007/978-3-642-12294-1_12}, pages = {85}, year = {2010}, language = {en} } @inproceedings{PomplunSchmidt2008, author = {Pomplun, Jan and Schmidt, Frank}, title = {Reduced Basis Method for Nano Optical Simulations}, booktitle = {Integrated Photonics and Nanophotonics Research and Applications}, publisher = {Optical Society of America}, pages = {IWD7}, year = {2008}, language = {en} } @inproceedings{PomplunSchmidtBurgeretal.2010, author = {Pomplun, Jan and Schmidt, Frank and Burger, Sven and Zschiedrich, Lin}, title = {Adaptive Reduced Basis Method for Optical Scattering Problems}, booktitle = {Integrated Photonics Research, Silicon and Nanophotonics}, publisher = {OSA}, doi = {10.1364/IPRSN.2010.IWD4}, pages = {IWD4}, year = {2010}, language = {en} } @article{PomplunZschiedrichKloseetal.2007, author = {Pomplun, Jan and Zschiedrich, Lin and Klose, Roland and Schmidt, Frank and Burger, Sven}, title = {Finite element simulation of radiation losses in photonic crystal fibers}, volume = {204}, journal = {phys. stat. sol. (a)}, number = {11}, doi = {10.1002/pssa.200776414}, pages = {3822 -- 3837}, year = {2007}, language = {en} } @inproceedings{PomplunBurgerZschiedrichetal.2011, author = {Pomplun, Jan and Burger, Sven and Zschiedrich, Lin and Schmidt, Frank}, title = {Reduced basis method for real-time inverse scatterometry}, volume = {8083}, booktitle = {Modelling Aspects in Optical Metrology III}, publisher = {Proc. SPIE}, doi = {10.1117/12.889892}, pages = {808308}, year = {2011}, language = {en} } @inproceedings{PomplunWenzelBurgeretal.2012, author = {Pomplun, Jan and Wenzel, Hans and Burger, Sven and Zschiedrich, Lin and Rozova, Maria and Schmidt, Frank and Crump, Paul and Ekhteraei, Hossein and Schultz, Christoph M. and Erbert, G{\"o}tz}, title = {Thermo-optical simulation of high-power diode lasers}, volume = {8255}, booktitle = {Proc. SPIE}, doi = {10.1117/12.909330}, pages = {825510}, year = {2012}, language = {en} } @inproceedings{ScholzeLaubisDerschetal.2007, author = {Scholze, Frank and Laubis, Christian and Dersch, Uwe and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {The influence of line edge roughness and CD uniformity on EUV scatterometry for CD characterization of EUV masks}, volume = {6617}, booktitle = {Modeling Aspects in Optical Metrology}, editor = {Bosse, Harald}, publisher = {Proc. SPIE}, pages = {66171A}, year = {2007}, language = {en} } @article{SchaedleLopezFernandezLubich2006, author = {Sch{\"a}dle, Achim and L{\´o}pez-Fern{\´a}ndez, Mar{\´i}a and Lubich, Christian}, title = {Fast and oblivious convolution quadrature}, volume = {28}, journal = {SIAM J. Sci. Comput.}, number = {2}, doi = {http://dx.doi.org/10.1137/050623139}, pages = {421 -- 438}, year = {2006}, language = {en} } @article{SchmidtMaerz1996, author = {Schmidt, Frank and M{\"a}rz, Reinhard}, title = {On the Reference Wave Vector of Paraxial Helmholtz Equations}, volume = {14}, journal = {IEEE Journal of Lightwave Technology}, pages = {2395 -- 2400}, year = {1996}, language = {en} } @article{SchmidtNolting1992, author = {Schmidt, Frank and Nolting, Hans-Peter}, title = {Adaptive Multilevel Beam Propagation Method}, volume = {4}, journal = {IEEE Photonics Technology Letter}, pages = {1381 -- 1383}, year = {1992}, language = {en} } @inproceedings{SchmidtNolting1992, author = {Schmidt, Frank and Nolting, Hans-Peter}, title = {An Adaptive Approach to a Beam Propagation Method}, booktitle = {Integrated Photonics Research}, address = {New Orleans, Louisiana, USA}, pages = {302 -- 303}, year = {1992}, language = {en} } @inproceedings{SchaedleRuprechtSchmidt2007, author = {Sch{\"a}dle, Achim and Ruprecht, Daniel and Schmidt, Frank}, title = {Transparent boundary conditions - the pole condition approach}, booktitle = {Proceedings of Waves 2007}, editor = {et.al., N. Biggs}, pages = {301 -- 303}, year = {2007}, language = {en} } @article{SchmidtYevick1997, author = {Schmidt, Frank and Yevick, David}, title = {Discrete Transparent Boundary Conditions for Schr{\"o}dinger-Type Equations}, volume = {134}, journal = {J. Comput. Phys.}, number = {1}, doi = {10.1006/jcph.1997.5675}, pages = {96 -- 107}, year = {1997}, language = {en} } @inproceedings{SchmidtBurgerSchaedleetal.2005, author = {Schmidt, Frank and Burger, Sven and Sch{\"a}dle, Achim and Klose, Roland}, title = {Finite element methods for optical device design}, booktitle = {Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices}, doi = {10.1109/NUSOD.2005.1518133}, pages = {57 -- 58}, year = {2005}, language = {en} } @inproceedings{SchoepfDeuflhard1994, author = {Sch{\"o}pf, R. and Deuflhard, Peter}, title = {OCCAL. A mixed symbolic-numeric optimal control calculator}, volume = {115}, booktitle = {Computational optimal control}, editor = {et al. Bulirsch, R.}, publisher = {Birkh{\"a}user Verlag Basel}, pages = {269 -- 278}, year = {1994}, language = {en} } @inproceedings{SchmidtDeuflhard1994, author = {Schmidt, Frank and Deuflhard, Peter}, title = {Discrete Transparent Boundary Conditions for Fresnel's Equation}, booktitle = {Integrated Photonics Research}, address = {San Francisco, California, USA}, pages = {45 -- 47}, year = {1994}, language = {en} } @article{SchmidtDeuflhard1995, author = {Schmidt, Frank and Deuflhard, Peter}, title = {Discrete Transparent Boundary Conditions for the Numerical Solution of Fresnel's Equation.}, volume = {29}, journal = {Comput. Math. Appl.}, pages = {53 -- 76}, year = {1995}, language = {en} } @inproceedings{Schmidt2000, author = {Schmidt, Frank}, title = {Discrete Nonreflecting Boundary Conditions for the Helmholtz equation}, booktitle = {Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation}, editor = {Berm{\´u}dez, A. and G{\´o}mez, D. and Hazard, C. and Joly, P. and Roberts, J.}, address = {Waves 2000, Santiago de Compostella, Spain}, pages = {921 -- 925}, year = {2000}, language = {en} } @phdthesis{Schmidt2002, author = {Schmidt, Frank}, title = {Solution of Interior-Exterior Helmholtz-Type Problems Based on the Pole Condition Concept}, year = {2002}, language = {en} } @article{Schmidt2004, author = {Schmidt, Frank}, title = {Pole Condition: A new Approach to Solve Scattering Problems}, volume = {1}, journal = {Oberwolfach Report}, number = {1}, publisher = {Mathematisches Forschungsinstitut Oberwolfach}, pages = {615 -- 617}, year = {2004}, language = {en} } @article{Schmidt1993, author = {Schmidt, Frank}, title = {An Adaptive Approach to the Numerical Solution of Fresnel's Wave Equation.}, volume = {11}, journal = {IEEE Journal of Lightwave Technology}, number = {9}, pages = {1425 -- 1435}, year = {1993}, language = {en} } @article{ZhaoFrankBurgeretal.2011, author = {Zhao, J. and Frank, B. and Burger, Sven and Giessen, H.}, title = {Large-Area High-Quality Plasmonic Oligomers Fabricated by Angle-Controlled Colloidal Nanolithography}, volume = {5}, journal = {ACS Nano}, number = {11}, doi = {10.1021/nn203177s}, pages = {9009}, year = {2011}, language = {en} } @inproceedings{ZschiedrichBurgerKettneretal.2006, author = {Zschiedrich, Lin and Burger, Sven and Kettner, Benjamin and Schmidt, Frank}, title = {Advanced Finite Element Method for Nano-Resonators}, volume = {6115}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/physics/0601025}, doi = {10.1117/12.646252}, pages = {611515}, year = {2006}, language = {en} } @inproceedings{ZschiedrichBurgerKloseetal.2005, author = {Zschiedrich, Lin and Burger, Sven and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {JCMmode: an adaptive finite element solver for the computation of leaky modes}, volume = {5728}, booktitle = {Integrated Optics: Devices, Materials, and Technologies IX}, editor = {Sidorin, Y. and W{\"a}chter, Christoph}, publisher = {Proc. SPIE}, doi = {10.1117/12.590372}, pages = {192 -- 202}, year = {2005}, language = {en} } @inproceedings{ZschiedrichBurgerPomplunetal.2007, author = {Zschiedrich, Lin and Burger, Sven and Pomplun, Jan and Schmidt, Frank}, title = {Goal oriented adaptive finite element method for precise simulation of optical components}, volume = {6475}, booktitle = {Proc. SPIE, Integrated Optics}, editor = {Sidorin, Y. and Waechter, Ch.}, pages = {64750H}, year = {2007}, language = {en} } @inproceedings{ZschiedrichBurgerSchaedleetal.2008, author = {Zschiedrich, Lin and Burger, Sven and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {A rigorous finite-element domain decomposition method for electromagnetic near field simulations}, volume = {6924}, booktitle = {Optical Microlithography XXI}, editor = {Levinson, Harry and Dusa, Mircea}, publisher = {SPIE}, doi = {10.1117/12.771989}, year = {2008}, language = {en} } @inproceedings{ZschiedrichBurgerSchaedleetal.2005, author = {Zschiedrich, Lin and Burger, Sven and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {Domain decomposition method for electromagnetic scattering problems: application to EUV lithography}, booktitle = {Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices}, doi = {10.1109/NUSOD.2005.1518132}, pages = {55 -- 56}, year = {2005}, language = {en} } @inproceedings{ZschiedrichGreinerPomplunetal.2012, author = {Zschiedrich, Lin and Greiner, Horst and Pomplun, Jan and Hammerschmidt, Martin and Burger, Sven and Schmidt, Frank}, title = {FEM simulations of light extraction from nanostructured organic light-emitting diodes}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/SOLED.2012.LT2B.5}, pages = {LT2B.5}, year = {2012}, language = {en} } @article{ZschiedrichKloseSchaedleetal.2006, author = {Zschiedrich, Lin and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D}, volume = {188}, journal = {J. Comput. Appl. Math.}, doi = {10.1016/j.cam.2005.03.047}, pages = {12 -- 32}, year = {2006}, language = {en} } @inproceedings{ZschiedrichSchmidt2008, author = {Zschiedrich, Lin and Schmidt, Frank}, title = {Finite element simulation of light propagation in non-periodic mask patterns}, volume = {7028}, booktitle = {Photomask and Next-Generation Lithography Mask Technology XV}, editor = {Horiuchi, Toshiyuki}, publisher = {SPIE}, year = {2008}, language = {en} } @article{YanLemmensAhrensetal.2012, author = {Yan, Hong-Dan and Lemmens, Peter and Ahrens, Johannes and Br{\"o}ring, Martin and Burger, Sven and Daum, Winfried and Lilienkamp, Gerhard and Korte, Sandra and Lak, Aidin and Schilling, Meinhard}, title = {High-density array of Au nanowires coupled by plasmon modes}, volume = {61}, journal = {Acta Phys. Sin.}, number = {23}, doi = {10.7498/aps.61.237105}, pages = {237105}, year = {2012}, language = {en} } @article{YevickFrieseSchmidt2001, author = {Yevick, David and Friese, T. and Schmidt, Frank}, title = {A Comparison of Transparent Boundary Conditions for the Fresnel Equation}, volume = {168}, journal = {J. Comput. Phys.}, number = {2}, pages = {433 -- 444}, year = {2001}, language = {en} } @article{YevickYuSchmidt1997, author = {Yevick, David and Yu, J. and Schmidt, Frank}, title = {Analytic Studies of Absorbing and Impedance-Matched Boundary Layers}, volume = {9}, journal = {IEEE Photonics Technology Letters}, doi = {10.1109/68.554499}, pages = {73 -- 75}, year = {1997}, language = {en} } @inproceedings{WongKangLeeetal.2011, author = {Wong, G. and Kang, M. and Lee, H. and Burger, Sven and Zschiedrich, Lin and Biancalana, F. and Russell, P.}, title = {Strongly Twisted Solid-Core PCF: A One-Dimensional Chiral Metamaterial}, booktitle = {Frontiers in Optics}, publisher = {Optical Society of America}, doi = {10.1364/FIO.2011.FMG3}, pages = {FMG3}, year = {2011}, language = {en} } @inproceedings{TyminskiPopescuBurgeretal.2012, author = {Tyminski, Jacek and Popescu, Raluca and Burger, Sven and Pomplun, Jan and Zschiedrich, Lin and Matsuyama, Tomoyuki and Noda, Tomoya}, title = {Finite element models of lithographic mask topography}, volume = {8326}, booktitle = {Proc. SPIE}, editor = {Conley, W.}, doi = {10.1117/12.916957}, pages = {83261B}, year = {2012}, language = {en} } @article{ArellanoMingaleevKoltchanovetal.2013, author = {Arellano, Cristina and Mingaleev, Sergei F. and Koltchanov, Igor and Richter, Andre and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Efficient design of photonic integrated circuits (PICs) by combining device- and circuit- level simulation tools}, volume = {8627}, journal = {Proc. SPIE}, doi = {10.1117/12.2004378}, pages = {862711}, year = {2013}, language = {en} }