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Das Logo des Lehrstuhls für Hochfrequenztechnik
Faculty of Electrical Engineering and In­for­ma­ti­on Technology
A detail shot of a laser in the lab in green colors. © Nikolas Golsch​/​TU Dortmund

Numerical modeling and analysis of THz technology and photonic circuits

The design and analysis of components of THz technology and photonics require highly developed design methods for electromagnetic field calculation. In contrast to frequency domain methods, time domain methods in particular allow the inherent detection of reflections and enable a comprehensive analysis, also taking material properties into account. The analysis of the occurring propagator in the eigenvalue space shows that the required time step size has to be reduced with increasing refinement of the spatial discretization. The computing time thus increases disproportionately and a design is not possible in a time-efficient manner.

In this DFG project (Schu 1016/6-1), methods are to be developed with the aim of significantly increasing the computing time efficiency and increasing the time step size. The methods should be based on an approximation of the propagator in the eigenvalue space. A minimum approximation of the polynomial describing the propagator should be achieved. The methods should be independent of the selected spatial approximation method and be verified on components.

  • development of explicit algorithms
  • Efficient approximation of propagators using Faber polynomials
  • Parallelization of algorithms using graphics and multi-core processors
  • W. Plotnikov, B. L. Inci and D. Schulz, "Investigation of conformal Mappings for the Approximation of Faber Polynomial based Propagators," 2022 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), Limoges, France, 2022, pp. 1-3, doi: 10.1109/NEMO51452.2022.10038962
     
  • W. Plotnikov, T. Murawski and D. Schulz, "Local Propagators utilizing Faber Polynomial based Expansions," 2022 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), Limoges, France, 2022, pp. 1-3, doi: 10.1109/NEMO51452.2022.10038518
     
  • H. Kleene, T. Luong, D. Schulz, "Faber Polynomial Based Approximations of Nonlinear Integrators for Electrodynamics", in IEEE Journal on Multiscale and Multiphysics Computational Techniques, early access, doi: 10.1109/JMMCT.2021.3062459, 2021
  • H. Kleene and D. Schulz, "Explicit Wideband Time-Domain Beam Propagation Algorithm Based on Faber Polynomials", IEEE Journal on Multiscale and Multiphysics Computational Techniques, vol. 4, pp. 282-289, doi: 10.1109/JMMCT.2019.2954943, 2019
  • H. Kleene and D. Schulz, "Assessment of a Time Domain Beam Propagation Algorithm Based on Faber Polynomial Expansions ", Angenommen: IEEE MTT-S Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, May 2019
  • Kleene, H., Schulz, D.; "Complex envelope Faber polynomial method for the solution of Maxwell’s equations",Opt Quant Electron 51, 381, doi.org/10.1007/s11082-019-2099-y, 2019
  • H. Kleene and D. Schulz, "Assessment of a Time Domain Beam Propagation Algorithm Based on Faber Polynomial Expansions ", Angenommen: IEEE MTT-S Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, May 2019
  • H. Kleene and D. Schulz, "Time Domain Solution of Maxwell’s Equations using Faber Polynomials ", IEEE Transactions on Antennas and Propagation, vol 66, no. 11, pp. 6202-6208, 2018
  • H. Kleene and D. Schulz, "On the Evaluation of Sources in Highly Accurate Time Domain Simulations on the Basis of Faber Polynomials", Progress in Electromagnetics Research 2018, Toyama, Japan, July 2018
  • H. Kleene and D. Schulz, "Concept of a Complex Envelope Faber PolynomialApproach for the Solution of Maxwell's Equations",IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, Reykjavik, Island, Aug. 2018
  • H. Kleene, D. Schulz, "Efficient Electromagnetic Time Domain Simulation on the Basis of Faber Polynomial Expansions", 11th Annual Meeting Photonic Devices, February 2018, Berlin, Germany
  • C. Spenner, H. Kleene, P. Sarapukdee, K. Kallis, D. Schulz, "Analysis of SiO2- and MgF2-Based Surface Plasmon Resonance Sensors", 26th International workshop on optical wave and waveguide theory and numerical modelling OWTNM, 2018, Bad Sassendorf, Germany
  • H. Kleene, D. Schulz, "An Assessment of Faber Polynomial Expansions for the Time Domain Solution of Maxwell’s equations", 26th International workshop on optical wave and waveguide theory and numerical modelling OWTNM, 2018, Bad Sassendorf, Germany
  • H. Kleene, D. Schulz, "Electromagnetic time domain simulation of photonic devices: Concept to enable larger time steps for explicit methods", Matheon workshop on photonic devices, February 2017, Berlin, Germany.
  • H. Kleene, D. Schulz, "Investigation of a Unitary Explicit Algorithm for Electromagnetic Time Domain Simulations", 25th International workshop on optical wave and waveguide theory and numerical modelling, 2017, Eindhoven, Netherlands.
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