@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{SchmidtGottschling1992, author = {Schmidt, Frank and Gottschling, K.}, title = {Improved Method of Mode Determination in Planar Optical Waveguides Using Line Transmission Approach}, volume = {12}, journal = {J. Opt. Commun.}, number = {3}, pages = {112 -- 114}, year = {1992}, 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} } @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{Schmidt1986, type = {Master Thesis}, author = {Schmidt, Frank}, title = {Untersuchung heteronomer Differentialgleichungen mit Hilfe des Analogrechners}, year = {1986}, 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} } @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} }