TY - CHAP A1 - Burger, Sven A1 - Köhle, Roderick A1 - Zschiedrich, Lin A1 - Nguyen, H. A1 - Schmidt, Frank A1 - März, Reinhard A1 - Nölscher, Christoph ED - Martin, P. ED - Naber, R. T1 - Rigorous Simulation of 3D Masks T2 - Photomask Technology Y1 - 2006 UR - http://arxiv.org/pdf/physics/0610218 VL - 6349 SP - 63494Z PB - Proc. SPIE ER - TY - CHAP A1 - März, Reinhard A1 - Burger, Sven A1 - Golka, S. A1 - Forchel, A. A1 - Herrmann, Christian A1 - Jamois, C. A1 - Michaelis, D. A1 - Wandel, K. T1 - Planar High Index-Contrast Photonic Crystals for Telecom Applications T2 - Photonic Crystals - Advances in Design, Fabrication and Characterization Y1 - 2006 U6 - https://doi.org/10.1002/3527602593.ch16 SP - 308 EP - 329 PB - Wiley-VCH ER - TY - GEN A1 - Schmidt, Frank A1 - März, Reinhard T1 - On the Reference Wave Vector pf Paraxial Helmholtz Equations N2 - The reference wave vector of the paraxial Helmholtz equation is determined using various strategies which result all in similar expressions. The effort for its evaluation is so small that the reference wave vector can be adapted for each propagation step of an arbitrary BPM-algorithm. T3 - ZIB-Report - SC-94-38 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-1660 ER - TY - JOUR A1 - Schmidt, Frank A1 - März, Reinhard T1 - On the Reference Wave Vector of Paraxial Helmholtz Equations JF - IEEE Journal of Lightwave Technology Y1 - 1996 VL - 14 SP - 2395 EP - 2400 ER - TY - CHAP A1 - März, Reinhard A1 - Burger, Sven A1 - Forchel, A. A1 - Heidrich, H. A1 - Hess, O. A1 - Michaelis, D. A1 - Wandel, K. A1 - Wehrspohn, R. ED - Lipson, M. T1 - High-contrast planar photonic crystals T2 - Nanophotonics for Communication Y1 - 2004 U6 - https://doi.org/10.1117/12.580070 VL - 5597 SP - 68 EP - 81 PB - Proc. SPIE ER - TY - GEN A1 - Deuflhard, Peter A1 - Friese, Tilmann A1 - Schmidt, Frank A1 - März, Reinhard A1 - Nolting, Hans-Peter T1 - Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips N2 - {\bf Efficient eigenmode computation for the design of integrated optical chips.}The paper deals with adaptive multigrid methods for 2D Helmholtz eigenvalue problems arising in the design of integrated optical chips. Typical features of the technological problem are its geometric complexity, its multiscale structure, the possible occurrence of eigenvalue clusters, and the necessity of quite stringent required relative error tolerances. For reasons of sheer computational complexity, multigrid methods must be used to solve the discretized eigenvalue problems and adaptive grids must be automatically constructed to avoid an undesirable blow-up of the required number of nodes for these accuracies. In view of the problem specifications, an adaptive multigrid method based on Rayleigh quotient minimization, simultaneous eigenspace iteration, and conjugate gradient method as smoother is carefully selected. Its performance in the numerical simulation of a component of a rather recent optical chip (heterodyne receiver of HHI) is documented. T3 - ZIB-Report - SC-96-02 Y1 - 1996 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-2131 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Friese, T. A1 - Schmidt, Frank A1 - März, Reinhard A1 - Nolting, Hans-Peter ED - et al. Hoffmann, K.-H. T1 - Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips T2 - Mathematik - Schlüsseltechnologie für die Zukunft Y1 - 1996 SP - 267 EP - 279 PB - Springer Verlag ER - TY - CHAP A1 - Burger, Sven A1 - Klose, Roland A1 - März, Reinhard A1 - Schädle, Achim A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Efficient Finite Element Methods for the Design of Microoptical Components T2 - Proc. Microoptics Conf. 2004 Y1 - 2004 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - März, Reinhard A1 - Burger, Sven A1 - Schmidt, Frank T1 - Efficient 3D Finite Element Simulation of Fiber-Chip Coupling T2 - Integrated Photonics Research and Applications/Nanophotonics Y1 - 2006 U6 - https://doi.org/10.1364/IPRA.2006.ITuF1 SP - ITuF1 ER - TY - CHAP A1 - Burger, Sven A1 - Köhle, Roderick A1 - Zschiedrich, Lin A1 - Gao, W. A1 - Schmidt, Frank A1 - März, Reinhard A1 - Nölscher, Christoph ED - Weed, J. ED - Martin, P. T1 - Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation T2 - Photomask Technology Y1 - 2005 U6 - https://doi.org/10.1117/12.631696 VL - 5992 SP - 378 EP - 389 PB - Proc. SPIE ER -