TY - CHAP A1 - Abebe, Muluneh G. A1 - Gomard, Guillaume A1 - Zschiedrich, Lin A1 - Rockstuhl, Carsten A1 - Paetzold, Ulrich W. A1 - Abass, Aimi T1 - Thermodynamics of Photon Recycling in Four Terminal Perovskite/si Tandem Solar Cells T2 - Optical Nanostructures and Advanced Materials for Photovoltaics Y1 - 2017 U6 - https://doi.org/10.1364/PV.2017.PM4A.2 SP - PM4A.2 ER - TY - GEN A1 - Schmidt, Frank A1 - Friese, Tilmann A1 - Zschiedrich, Lin A1 - Deuflhard, Peter T1 - Adaptive Multigrid Methods for the Vectorial Maxwell Eigenvalue Problem for Optical Waveguide Design N2 - This paper has been motivated by the need for a fast robust adaptive multigrid method to solve the vectorial Maxwell eigenvalue problem arising from the design of optical chips. Our nonlinear multigrid methods are based on a previous method for the scalar Helmholtz equation, which must be modified to cope with the null space of the Maxwell operator due to the divergence condition. We present two different approaches. First, we present a multigrid algorithm based on an edge element discretization of time-harmonic Maxwell's equations, including the divergence condition. Second, an explicit elimination of longitudinal magnetic components leads to a nodal discretization known to avoid discrete \emph{spurious modes} also and a vectorial eigenvalue problem, for which we present a multigrid solver. Numerical examples show that the edge element discretization clearly outperforms the nodal element approach. T3 - ZIB-Report - 00-54 KW - Maxwell's equations KW - eigenvalue problem KW - edge elements KW - multigrid methods KW - waveguide KW - optical chip design Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-6228 ER - TY - GEN A1 - Hohage, Thorsten A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Solving time-harmonic scattering problems based on the condition: Theory N2 - The pole condition is a general concept for the theoretical analysis and the numerical solution of a variety of wave propagation problems. It says that the Laplace transform of the physical solution in radial direction has no poles in the lower complex half-plane. In the present paper we show that for the Helmholtz equation with a radially symmetric potential the pole condition is equivalent to Sommerfeld's radiation condition. Moreover, a new representation formula based on the pole condition is derived and used to prove existence, uniqueness and asymptotic properties of solutions. This lays the foundations of a promising new algorithm to solve time-harmonic scattering problems numerically and provides a new approach for analyzing existing algorithms such as the Perfectly Matched Layer (PML) method and the Bayliss-Gunzburger-Turkel (BGT) algorithm. T3 - ZIB-Report - 01-01 KW - transparent boundary conditions KW - Laplace transform KW - Sommerfeld radiation condition Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-6279 ER - TY - GEN A1 - Hohage, Thorsten A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Solving time-harmonic scattering problems based on the pole condition: Convergence of the PML method N2 - In this paper we study the PML method for Helmholtz-type scattering problems with radially symmetric potential. The PML method consists in surrounding the computational domain by a \textbf{P}erfectly \textbf{M}atched sponge \textbf{L}ayer. We prove that the approximate solution obtained by the PML method converges exponentially fast to the true solution in the computational domain as the thickness of the sponge layer tends to infinity. This is a generalization of results by Lassas and Somersalo based on boundary integral eqaution techniques. Here we use techniques based on the pole condition instead. This makes it possible to treat problems without an explicitly known fundamental solution. T3 - ZIB-Report - 01-23 KW - transparent boundary conditions KW - PML KW - pole condition Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-6494 ER - TY - GEN A1 - Hohage, Thorsten A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - A new method for the solution of scattering problems N2 - We present a new efficient algorithm for the solution of direct time-harmonic scattering problems based on the Laplace transform. This method does not rely on an explicit knowledge of a Green function or a series representation of the solution, and it can be used for the solution of problems with radially symmetric potentials and problems with waveguides. The starting point is an alternative characterization of outgoing waves called \emph{pole condition}, which is equivalent to Sommerfeld's radiation condition for problems with radially symmetric potentials. We obtain a new representation formula, which can be used for a numerical evaluation of the exterior field in a postprocessing step. Based on previous theoretical studies, we discuss the numerical realization of our algorithm and compare its performance to the PML method. T3 - ZIB-Report - 02-01 KW - transparent boundary conditions KW - inhomogeneous exterior domains KW - Laplace transform Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-6683 ER - TY - GEN A1 - Ruprecht, Daniel A1 - Schädle, Achim A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Transparent boundary conditons for time-dependent problems N2 - A new approach to derive transparent boundary conditions (TBCs) for wave, Schrödinger, heat and drift-diffusion equations is presented. It relies on the pole condition and distinguishes between physical reasonable and unreasonable solutions by the location of the singularities of the spatial Laplace transform of the exterior solution. To obtain a numerical algorithm, a Möbius transform is applied to map the Laplace transform onto the unit disc. In the transformed coordinate the solution is expanded into a power series. Finally, equations for the coefficients of the power series are derived. These are coupled to the equation in the interior, and yield transparent boundary conditions. Numerical results are presented in the last section, showing that the error introduced by the new approximate TBCs decays exponentially in the number of coefficients. T3 - ZIB-Report - 07-12 KW - transparent boundary condition KW - non-reflecting boundary condition KW - pole condition KW - wave equation KW - Schrödinger equation KW - drift diffusion equation Y1 - 2007 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-9558 ER - TY - CHAP A1 - Musial, Anna A1 - Zolnacz, Kinga A1 - Srocka, Nicole A1 - Kravets, Oleh A1 - Große, Jan A1 - Schneider, Philipp-Immanuel A1 - Olszewski, Jacek A1 - Poturaj, Krzystof A1 - Wojcik, Grzegorz A1 - Mergo, Pawel A1 - Dybka, Kamil A1 - Dyrkacz, Mariusz A1 - Dlubek, Michal A1 - Rodt, Sven A1 - Burger, Sven A1 - Zschiedrich, Lin A1 - Urbanczyk, Waclaw A1 - Sek, Grzegorz A1 - Reitzenstein, Stephan T1 - Stand-alone quantum dot-based single-photon source operating at telecommunication wavelengths T2 - 10th International Conference on Spontaneous Coherence in Excitonic Systems ICSCE10 Y1 - 2020 SP - 39 ER - TY - CHAP A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Siaudinyté, Lauryna A1 - Manley, Phillip A1 - Schneider, Philipp-Immanuel A1 - Burger, Sven T1 - Forward simulation of coherent beams on grating structures for coherent scatterometry T2 - Proc. SPIE Y1 - 2023 U6 - https://doi.org/10.1117/12.2673231 VL - PC12619 SP - PC1261907 ER - TY - CHAP A1 - Krüger, Jan A1 - Bodermann, Bernd A1 - Köning, Rainer A1 - Manley, Phillip A1 - Zschiedrich, Lin A1 - Schneider, Philipp-Immanuel A1 - Heinrich, Andreas A1 - Eder, Christian A1 - Zeiser, Ulrike A1 - Goehnermeier, Aksel T1 - On aberration retrieval for optical microscopes in length metrology T2 - Proc. SPIE Y1 - 2023 U6 - https://doi.org/10.1117/12.2672294 VL - PC12619 SP - PC126190A ER - TY - CHAP A1 - Manley, Phillip A1 - Krüger, Jan A1 - Bodermann, Bernd A1 - Köning, Rainer A1 - Heinrich, Andreas A1 - Eder, Christian A1 - Goehnermeier, Aksel A1 - Zeiser, Ulrike A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Schneider, Philipp-Immanuel T1 - Efficient simulation of microscopic imaging for reconstruction of nanostructures T2 - Proc. SPIE Y1 - 2023 U6 - https://doi.org/10.1117/12.2673077 VL - PC12619 SP - PC126190B ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Kuen, Lilli A1 - Hammerschmidt, Martin A1 - Burger, Sven T1 - Efficient Photonic Component Analysis via AAA Rational Approximation T2 - 2025 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD) Y1 - 2025 U6 - https://doi.org/10.1109/NUSOD64393.2025.11199710 SP - 115 EP - 116 ER - TY - GEN A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Fischbach, Jan David A1 - Feldman, Nick A1 - Zschiedrich, Lin A1 - Rockstuhl, Carsten A1 - Koenderink, A. Femius A1 - Burger, Sven T1 - Uncovering Hidden Resonances in Non-Hermitian Systems with Scattering Thresholds (Laser Photonics Rev. 19(21)/2025) T2 - Laser Photonics Rev. Y1 - 2025 U6 - https://doi.org/10.1002/lpor.70534 VL - 19 IS - 21 SP - e70534 ER - TY - JOUR A1 - Krüger, Jan A1 - Manley, Phillip A1 - Bergmann, Detlef A1 - Köning, Rainer A1 - Bodermann, Bernd A1 - Eder, Christian A1 - Heinrich, Andreas A1 - Schneider, Philipp-Immanuel A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Manske, Eberhard T1 - Introduction and application of a new approach for model-based optical bidirectional measurements JF - Meas. Sci. Technol. Y1 - 2024 U6 - https://doi.org/10.1088/1361-6501/ad4b53 VL - 35 SP - 085014 ER - TY - JOUR A1 - Manley, Phillip A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Jäger, Klaus A1 - Becker, Christiane A1 - Burger, Sven T1 - Modelling luminescent coupling in multi-junction solar cells: perovskite silicon tandem case study JF - Proc. SPIE Y1 - 2024 U6 - https://doi.org/10.1117/12.3023941 VL - 13014 SP - 1301404 ER - TY - GEN A1 - Kuen, Lilli A1 - Löffler, Lorenz A1 - Tsarapkin, Aleksei A1 - Zschiedrich, Lin A1 - Feichtner, Thorsten A1 - Burger, Sven A1 - Höflich, Katja T1 - Source Code and Simulation Results: Chiral and directional optical emission from a dipole source coupled to a helical plasmonic antenna T2 - Zenodo Y1 - 2024 U6 - https://doi.org/10.5281/zenodo.10598255 SP - doi: 10.5281/zenodo.10598255 ER - TY - GEN A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Binkowski, Felix T1 - Efficient Rational Approximation of Optical Response Functions with the AAA Algorithm (Laser Photonics Rev. 18(11)/2024) T2 - Laser Photonics Rev. Y1 - 2024 U6 - https://doi.org/10.1002/lpor.202470071 VL - 18 SP - 2470071 ER - TY - CHAP A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Poles and Zeros in Resonant Nano-Photonic Systems T2 - 2024 Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR) Y1 - 2024 U6 - https://doi.org/10.1109/CLEO-PR60912.2024.10676837 ER - TY - GEN A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Source code and simulation results: Resonance modes in microstructured photonic waveguides - Efficient and accurate computation based on AAA rational approximation T2 - Zenodo Y1 - 2024 U6 - https://doi.org/10.5281/zenodo.14202408 SP - doi: 10.5281/zenodo.14202408 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Fischbach, Jan David A1 - Feldman, Nick A1 - Zschiedrich, Lin A1 - Rockstuhl, Carsten A1 - Koenderink, A. Femius A1 - Burger, Sven T1 - Uncovering hidden resonances in non-Hermitian systems with scattering thresholds JF - Laser Photonics Rev. Y1 - 2025 U6 - https://doi.org/10.1002/lpor.202500811 VL - 19 SP - e00811 ER - TY - JOUR A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation JF - Nanophotonics Y1 - 2025 U6 - https://doi.org/10.1515/nanoph-2024-0755 VL - 14 SP - 1665 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Cover Picture: Resonance Expansion of Quadratic Quantities with Regularized Quasinormal Modes JF - Phys. Status Solidi A Y1 - 2023 U6 - https://doi.org/10.1002/pssa.202370013 VL - 220 SP - 2370013 ER - TY - JOUR A1 - Binkowski, Felix A1 - Koulas-Simos, Aris A1 - Betz, Fridtjof A1 - Plock, Matthias A1 - Sekulic, Ivan A1 - Manley, Phillip A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Munkhbat, Battulga A1 - Reitzenstein, Stephan A1 - Burger, Sven T1 - High Purcell enhancement in all-TMDC nanobeam resonator designs with active monolayers for nanolasers JF - Phys. Rev. B Y1 - 2025 U6 - https://doi.org/10.1103/nxh9-dhvx VL - 112 SP - 235410 ER - TY - GEN A1 - Binkowski, Felix A1 - Koulas-Simos, Aris A1 - Betz, Fridtjof A1 - Plock, Matthias A1 - Sekulic, Ivan A1 - Manley, Phillip A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Munkhbat, Battulga A1 - Reitzenstein, Stephan A1 - Burger, Sven T1 - Source code and simulation results: High Purcell enhancement in all-TMDC nanobeam resonator designs with active monolayers for nanolasers T2 - Zenodo Y1 - 2025 U6 - https://doi.org/10.5281/zenodo.16533803 ER - TY - JOUR A1 - Betz, Fridtjof A1 - Binkowski, Felix A1 - Hammerschmidt, Martin A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - Resonance expansion of quadratic quantities with regularized quasinormal modes JF - Phys. Status Solidi A Y1 - 2023 U6 - https://doi.org/10.1002/pssa.202200892 VL - 220 SP - 2200892 ER - TY - CHAP A1 - Binkowski, Felix A1 - Betz, Fridtjof A1 - Hammerschmidt, Martin A1 - Schneider, Philipp-Immanuel A1 - Zschiedrich, Lin A1 - Burger, Sven ED - Zouhdi, S. T1 - Numerical methods for the investigation of resonances in nanophotonics T2 - The 12th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META 2022) Y1 - 2022 SN - 2429-1390 SP - 247 ER -