TY - CHAP A1 - Hammerschmidt, Martin A1 - Pomplun, Jan A1 - Burger, Sven A1 - Schmidt, Frank T1 - Adaptive sampling strategies for effcient parameter scans in nano-photonic device simulations T2 - Proc. SPIE Y1 - 2014 U6 - https://doi.org/10.1117/12.2036363 VL - 8980 SP - 89801O PB - SPIE ER - TY - CHAP A1 - Hammerschmidt, Martin A1 - Lockau, Daniel A1 - Zschiedrich, Lin A1 - Schmidt, Frank T1 - Optical modelling of incoherent substrate light-trapping in silicon thin film multi-junction solar cells with finite elements and domain decomposition T2 - Proc. SPIE: Physics and Simulation of Optoelectronic Devices XXII Y1 - 2014 U6 - https://doi.org/10.1117/12.2036346 VL - 8980 SP - 898007 PB - SPIE ER - TY - CHAP A1 - Lockau, Daniel A1 - Hammerschmidt, Martin A1 - Haschke, Jan A1 - Blome, Mark A1 - Ruske, Florian A1 - Schmidt, Frank A1 - Rech, Bernd T1 - A comparison of scattering and non-scattering anti-reflection designs for back contacted polycrystalline thin film silicon solar cells in superstrate configuration T2 - Proc. SPIE Y1 - 2014 U6 - https://doi.org/10.1117/12.2052362 VL - 9140 SP - 914006 ER - TY - GEN A1 - Hammerschmidt, Martin A1 - Pomplun, Jan A1 - Burger, Sven A1 - Schmidt, Frank T1 - Adaptive sampling strategies for efficient parameter scans in nano-photonic device simulations N2 - Rigorous optical simulations are an important tool in optimizing scattering properties of nano-photonic devices and are used, for example, in solar cell optimization. The finite element method (FEM) yields rigorous, time-harmonic, high accuracy solutions of the full 3D vectorial Maxwell's equations [1] and furthermore allows for great flexibility and accuracy in the geometrical modeling of these often complex shaped 3D nano-structures. A major drawback of frequency domain methods is the limitation of single frequency evaluations. For example the accurate computation of the short circuit current density of an amorphous silicon / micro-crystalline multi-junction thin film solar cell may require the solution of Maxwell's equations for over a hundred different wavelengths if an equidistant sampling strategy is employed. Also in optical metrology, wavelength scans are frequently used to reconstruct unknown geometrical and material properties of optical systems numerically from measured scatterometric data. In our contribution we present several adaptive numerical integration and sampling routines and study their efficiency in the context of the determination of generation rate profiles of solar cells. We show that these strategies lead to a reduction in the computational effort without loss of accuracy. We discuss the employment of tangential information in a Hermite interpolation scheme to achieve similar accuracy on coarser grids. We explore the usability of these strategies for scatterometry and solar cell simulations. T3 - ZIB-Report - 14-20 KW - finite element method KW - optical simulations KW - adaptive sampling KW - optical metrology KW - parameter scans KW - solar cells Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-50395 SN - 1438-0064 ER - TY - GEN A1 - Hammerschmidt, Martin A1 - Lockau, Daniel A1 - Zschiedrich, Lin A1 - Schmidt, Frank T1 - Optical modelling of incoherent substrate light-trapping in silicon thin film multi-junction solar cells with finite elements and domain decomposition N2 - In many experimentally realized applications, e.g. photonic crystals, solar cells and light-emitting diodes, nano-photonic systems are coupled to a thick substrate layer, which in certain cases has to be included as a part of the optical system. The finite element method (FEM) yields rigorous, high accuracy solutions of full 3D vectorial Maxwell's equations [1] and allows for great flexibility and accuracy in the geometrical modelling. Time-harmonic FEM solvers have been combined with Fourier methods in domain decomposition algorithms to compute coherent solutions of these coupled system. [2,3] The basic idea of a domain decomposition approach lies in a decomposition of the domain into smaller subdomains, separate calculations of the solutions and coupling of these solutions on adjacent subdomains. In experiments light sources are often not perfectly monochromatic and hence a comparision to simulation results might only be justified if the simulation results, which include interference patterns in the substrate, are spectrally averaged. In this contribution we present a scattering matrix domain decomposition algorithm for Maxwell's equations based on FEM. We study its convergence and advantages in the context of optical simulations of silicon thin film multi-junction solar cells. This allows for substrate light-trapping to be included in optical simulations and leads to a more realistic estimation of light path enhancement factors in thin-film devices near the band edge. T3 - ZIB-Report - 14-21 KW - finite element method KW - rigorous optical modeling KW - domain decomposition KW - multi-junction solar cells KW - thin-film silicon solar cells KW - incoherent layers KW - incoherent light-trapping Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-50410 SN - 1438-0064 ER - TY - GEN A1 - Lockau, Daniel A1 - Hammerschmidt, Martin A1 - Blome, Mark A1 - Schmidt, Frank ED - Deuflhard, Peter ED - et al., T1 - Optics of thin film solar cells T2 - MATHEON-Mathematics for Key Technologies Y1 - 2014 U6 - https://doi.org/10.4171/137 VL - 1 SP - 278 EP - 279 PB - European Mathematical Society ER - TY - JOUR A1 - Hammerschmidt, Martin A1 - Lockau, Daniel A1 - Burger, Sven A1 - Schmidt, Frank A1 - Schwanke, Christoph A1 - Kirner, Simon A1 - Calnan, Sonya A1 - Stannowski, Bernd A1 - Rech, Bernd T1 - FEM-based optical modeling of silicon thin-film tandem solar cells with randomly textured interfaces in 3D JF - Proc. SPIE Y1 - 2013 U6 - https://doi.org/10.1117/12.2001789 VL - 8620 SP - 86201H ER - TY - CHAP A1 - Hammerschmidt, Martin A1 - Lockau, Daniel A1 - Burger, Sven A1 - Schmidt, Frank A1 - Schwanke, Christoph A1 - Kirner, Simon A1 - Calnan, Sonya A1 - Stannowski, Bernd A1 - Rech, Bernd T1 - 3D optical modeling of thin-film a-Si/mc-Si tandem solar cells with random textured interfaces using FEM T2 - Renewable Energy and the Environment Optics and Photonics Congress Y1 - 2012 U6 - https://doi.org/10.1364/E2.2012.JM5A.15 SP - JM5A.15 PB - Optical Society of America ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Greiner, Horst A1 - Pomplun, Jan A1 - Hammerschmidt, Martin A1 - Burger, Sven A1 - Schmidt, Frank T1 - FEM simulations of light extraction from nanostructured organic light-emitting diodes T2 - Renewable Energy and the Environment Optics and Photonics Congress Y1 - 2012 U6 - https://doi.org/10.1364/SOLED.2012.LT2B.5 SP - LT2B.5 PB - Optical Society of America ER -