@article{GschreyThomaSchnauberetal.2015, author = {Gschrey, Manuel and Thoma, Alexander and Schnauber, Peter and Seifried, Marc and Schmidt, Ronny and Wohlfeil, Benjamin and Kr{\"u}ger, Luzy and Schulze, Jan-Hindrick and Heindel, Tobias and Burger, Sven and Schmidt, Frank and Strittmatter, Andre and Rodt, Sven and Reitzenstein, Stephan}, title = {Highly indistinguishable photons from deterministic quantum-dot microlenses utilizing three-dimensional in situ electron-beam lithography}, volume = {6}, journal = {Nature Communications}, doi = {10.1038/ncomms8662}, pages = {7662}, year = {2015}, language = {en} } @inproceedings{ThomaSchnauberGschreyetal.2015, author = {Thoma, Alexander and Schnauber, Peter and Gschrey, Manuel and Schmidt, Ronny and Wohlfeil, Benjamin and Seifried, Marc and Schulze, Jan-Hindrick and Burger, Sven and Schmidt, Frank and Strittmatter, Andre and Rodt, Sven and Heindel, Tobias and Reitzenstein, Stephan}, title = {Indistinguishable Photons from Deterministically Fabricated Quantum Dot Microlenses}, booktitle = {Advanced Photonics}, doi = {10.1364/IPRSN.2015.IS4A.6}, pages = {IS4A.6}, year = {2015}, language = {en} } @inproceedings{GschreySeifriedKruegeretal.2014, author = {Gschrey, Manuel and Seifried, Marc and Kr{\"u}ger, Luzy and Schmidt, Ronny and Schulze, Jan-Hindrick and Heindel, Tobias and Burger, Sven and Rodt, Sven and Schmidt, Frank and Strittmatter, Andre and Reitzenstein, Stephan}, title = {Advanced Quantum Light Sources: Modelling and Realization by Deterministic Nanofabrication Technologies}, volume = {IPRSN}, booktitle = {Integrated Photonics Research, Silicon and Nanophotonics}, doi = {10.1364/IPRSN.2014.IW1A.3}, pages = {IW1A.3}, year = {2014}, language = {en} } @inproceedings{GschreySeifriedKruegeretal.2014, author = {Gschrey, Manuel and Seifried, Marc and Kr{\"u}ger, Luzy and Schmidt, Ronny and Schulze, Jan-Hindrick and Heindel, Tobias and Burger, Sven and Rodt, Sven and Schmidt, Frank and Strittmatter, Andre and Reitzenstein, Stephan}, title = {Boosting the photon-extraction efficiency of nanophotonic structures by deterministic microlenses}, booktitle = {CLEO: 2014}, publisher = {Optical Society of America}, doi = {10.1364/CLEO_QELS.2014.FF2K.2}, pages = {FF2K.2}, year = {2014}, language = {en} } @misc{AmiranashviliBandelowBlomeetal.2014, author = {Amiranashvili, Shalva and Bandelow, Uwe and Blome, Mark and Burger, Sven and Schmidt, Frank and Schmidt, Kersten and Zschiedrich, Lin}, title = {Nanophotonics and nonlinear fiber optics}, volume = {1}, journal = {MATHEON-Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {257 -- 275}, year = {2014}, language = {en} } @inproceedings{ThomaSchnauberGschreyetal.2015, author = {Thoma, Alexander and Schnauber, Peter and Gschrey, Manuel and Schmidt, Ronny and Wohlfeil, Benjamin and Seifried, Marc and Schulze, Jan-Hindrick and Burger, Sven and Schmidt, Frank and Strittmatter, Andre and Rodt, Sven and Heindel, Tobias and Reitzenstein, Stephan}, title = {Indistinguishable Photons from Deterministic Quantum Dot Microlenses}, booktitle = {European Conference on Lasers and Electro-Optics - European Quantum Electronics Conference}, doi = {10.1364/IPRSN.2015.IS4A.6}, pages = {EA_8_5}, year = {2015}, 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{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} } @inproceedings{BurgerZschiedrichPomplunetal.2011, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Schmidt, Frank and Kato, Akiko and Laubis, Christian and Scholze, Frank}, title = {Investigation of 3D Patterns on EUV Masks by Means of Scatterometry and Comparison to Numerical Simulations}, volume = {8166}, booktitle = {Photomask Technology 2011}, publisher = {Proc. SPIE}, doi = {10.1117/12.896839}, pages = {81661Q}, year = {2011}, language = {en} } @misc{SchaedleZschiedrichBurgeretal.2006, 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: Scattering off Periodic Structures}, doi = {/10.1016/j.jcp.2007.04.017}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8984}, number = {06-04}, year = {2006}, abstract = {We present a domain decomposition approach for the computation of the electromagnetic field within periodic structures. We use a Schwarz method with transparent boundary conditions at the interfaces of the domains. Transparent boundary conditions are approximated by the perfectly matched layer method (PML). To cope with Wood anomalies appearing in periodic structures an adaptive strategy to determine optimal PML parameters is developed. We focus on the application to typical EUV lithography line masks. Light propagation within the multi-layer stack of the EUV mask is treated analytically. This results in a drastic reduction of the computational costs and allows for the simulation of next generation lithography masks on a standard personal computer.}, language = {en} } @inproceedings{BurgerZschiedrichPomplunetal.2013, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Schmidt, Frank}, title = {Finite-element based electromagnetic field simulations: Benchmark results for isolated structures}, volume = {8880}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1310.2732}, doi = {10.1117/12.2026213}, pages = {88801Z}, year = {2013}, language = {en} } @inproceedings{PomplunBurgerRozovaetal.2011, author = {Pomplun, Jan and Burger, Sven and Rozova, Maria and Zschiedrich, Lin and Schmidt, Frank}, title = {Finite element simulation of optical modes in VCSELs}, booktitle = {Numerical Simulation of Optoelectronic Devices (NUSOD), 11th International Conference on}, doi = {10.1109/NUSOD.2011.6041170}, pages = {119 -- 120}, year = {2011}, language = {en} } @inproceedings{ZschiedrichSchmidtPomplunetal.2016, author = {Zschiedrich, Lin and Schmidt, Frank and Pomplun, Jan and Burger, Sven}, title = {Finite elements for nano-optics applications}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {178}, year = {2016}, language = {en} } @inproceedings{BarthRoderBrodoceanuetal.2016, author = {Barth, Carlo and Roder, Sebastian and Brodoceanu, Daniel and Kraus, Tobias and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank and Becker, Christiane}, title = {Increased fluorescence of PbS quantum dots on photonic crystal slab structures}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {181}, year = {2016}, language = {en} } @inproceedings{HammerschmidtBarthBurgeretal.2016, author = {Hammerschmidt, Martin and Barth, Carlo and Burger, Sven and Becker, Christiane and Schmidt, Frank}, title = {Determining 2D photonic crystal geometries from reflectance spectra with a reduced basis method}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {281}, year = {2016}, language = {en} } @inproceedings{BeckerXavierPreideletal.2013, author = {Becker, Christiane and Xavier, Jolly and Preidel, Veit and Wyss, Philippe and Sontheimer, Tobias and Rech, Bernd and Probst, J{\"u}rgen and H{\"u}lsen, Christoph and L{\"o}chel, Bernd and Erko, Alexei and Burger, Sven and Schmidt, Frank and Back, Franziska and Rudigier-Voigt, Eveline}, title = {Nanophotonic light trapping in polycrystalline silicon thin-film solar cells using periodically nanoimprint-structured glass substrates}, volume = {8824}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2023871}, pages = {88240D}, year = {2013}, language = {en} } @incollection{ManleyBurgerSchmidtetal.2015, author = {Manley, Phillip and Burger, Sven and Schmidt, Frank and Schmid, Martina}, title = {Design Principles for Plasmonic Nanoparticle Devices}, volume = {XXI}, booktitle = {Progress in Nonlinear Nano-Optics}, editor = {Sakabe, Shuji and Lienau, Christoph and Grunwald, R{\"u}diger}, edition = {Nano-Optics and Nanophotonics}, publisher = {Springer}, arxiv = {http://arxiv.org/abs/1403.7919}, doi = {10.1007/978-3-319-12217-5_13}, pages = {223 -- 247}, year = {2015}, language = {en} } @article{LedentsovJrShchukinKroppetal.2017, author = {Ledentsov, Jr., Nikolay and Shchukin, Vitaly and Kropp, J{\"o}rg-R. and Zschiedrich, Lin and Schmidt, Frank and Ledentsov, Jr., Nikolay}, title = {Resonant cavity light-emitting diodes based on dielectric passive cavity structures}, volume = {10124}, journal = {Proc. SPIE}, doi = {10.1117/12.2253089}, pages = {101240O}, year = {2017}, language = {en} } @inproceedings{HammerschmidtLockauBurgeretal.2012, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {3D optical modeling of thin-film a-Si/mc-Si tandem solar cells with random textured interfaces using FEM}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/E2.2012.JM5A.15}, pages = {JM5A.15}, year = {2012}, language = {en} } @article{HiremathZschiedrichSchmidt2012, author = {Hiremath, Kirankumar and Zschiedrich, Lin and Schmidt, Frank}, title = {Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nedelec finite elements}, volume = {231}, journal = {J. Comp. Phys.}, number = {17}, doi = {10.1016/j.jcp.2012.05.013}, pages = {5890 -- 5896}, year = {2012}, language = {en} } @inproceedings{HohageSchmidtZschiedrich2002, author = {Hohage, Thorsten and Schmidt, Frank and Zschiedrich, Lin}, title = {A new method for the solution of scattering problems}, booktitle = {Proceedings of the JEE'02 Symposium}, editor = {Michielsen, Bas and Decav{\`e}le, Francine}, publisher = {ONERA}, address = {Toulouse}, pages = {251 -- 256}, year = {2002}, language = {en} } @article{HohageSchmidtZschiedrich2003, author = {Hohage, Thorsten and Schmidt, Frank and Zschiedrich, Lin}, title = {Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory}, volume = {35}, journal = {SIAM J. Math. Anal.}, number = {1}, doi = {10.1137/S0036141002406473}, pages = {183 -- 210}, year = {2003}, language = {en} } @article{HohageSchmidtZschiedrich2003, author = {Hohage, Thorsten and Schmidt, Frank and Zschiedrich, Lin}, title = {Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method}, volume = {35}, journal = {SIAM J. Math. Anal.}, number = {3}, doi = {10.1137/S0036141002406485}, pages = {547 -- 560}, year = {2003}, language = {en} } @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{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} } @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} } @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} } @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{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} } @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} } @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} }