TY - CHAP A1 - Burger, Sven A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - A fast and efficient Finite-Element Solver for 2D and 3D Photonic Band-Gap Problems T2 - Dig. LEOS/IEEE 2003 Summer Topicals Y1 - 2003 U6 - https://doi.org/10.1109/LEOSST.2003.1224282 SP - 75 ER - TY - CHAP A1 - Burger, Sven A1 - Zschiedrich, Lin A1 - Schmidt, Frank T1 - 3D FEM Simulations of High-Q Resonances in Photonic Crystal Microcavities T2 - Integrated Photonics Research, Silicon and Nanophotonics Y1 - 2010 U6 - https://doi.org/10.1364/IPRSN.2010.IWB7 SP - IWB7 PB - OSA ER - TY - CHAP A1 - Burger, Sven A1 - Schmidt, Frank A1 - Zschiedrich, Lin ED - Jena, Friedrich-Schiller-Universität T1 - FEM simulation of resonances in low-Q cavities for plasmon lasers T2 - International Workshop on Photonic Nanomaterials Y1 - 2010 SN - 978-3-00-031358-5 SP - 36 ER - TY - CHAP A1 - Burger, Sven A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Numerical investigation of optical resonances in circular grating resonators T2 - Silicon Photonics V Y1 - 2010 U6 - https://doi.org/10.1117/12.842061 VL - 7606 SP - 760610 PB - Proc. SPIE ER - TY - CHAP A1 - Burger, Sven A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Numerical Investigation of Photonic Crystal Microcavities in Silicon-on-Insulator Waveguides T2 - Photonic and Phononic Crystal Materials and Devices X Y1 - 2010 U6 - https://doi.org/10.1117/12.841867 VL - 7609 SP - 76091Q PB - Proc. SPIE ER - TY - CHAP A1 - Pomplun, Jan A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Schmidt, Frank A1 - Tyminski, Jacek A1 - Flagello, Donis A1 - Toshiharu, N. T1 - Reduced basis method for source mask optimization T2 - Photomask Technology Y1 - 2010 U6 - https://doi.org/10.1117/12.866101 VL - 7823 SP - 78230E PB - Proc. SPIE ER - TY - CHAP A1 - Burger, Sven A1 - Schädle, Achim A1 - Zschiedrich, Lin A1 - Schmidt, Frank ED - Andrews, David L. ED - Nunzi, Jean-Michel ED - Ostendorf, Andreas T1 - Advanced FEM Analysis of Nano-Optical Devices T2 - Nanophotonics Y1 - 2006 U6 - https://doi.org/10.1117/12.662942 VL - 6195 SP - 72 EP - 82 PB - Proc. SPIE ER - TY - JOUR A1 - Burger, Sven A1 - Cataliotti, F. A1 - Fort, C. A1 - Minardi, F. A1 - Inguscio, Massimo A1 - Chiofalo, M. A1 - Tosi, M. T1 - Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential JF - Phys. Rev. Lett. Y1 - 2001 VL - 86 IS - 20 SP - 4447 EP - 4450 ER - TY - CHAP A1 - Burger, Sven A1 - Cataliotti, F. A1 - Fort, C. A1 - Maddaloni, P. A1 - Minardi, F. A1 - Inguscio, Massimo ED - Chu, S. T1 - Coherent Dynamics of Bose-Einstein condensates in an Optical Lattice T2 - Laser Spectroscopy XV Y1 - 2002 PB - World Scientific ER - TY - JOUR A1 - Burger, Sven A1 - Carr, L. A1 - Öhberg, P. A1 - Sengstock, Klaus A1 - Sanpera, Anna T1 - Generation and interaction of solitons in Bose-Einstein condensates JF - Phys. Rev. A Y1 - 2002 VL - 65 SP - 043611 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 - Burger, Sven A1 - Klose, Roland A1 - Schädle, Achim A1 - Schmidt, Frank A1 - Zschiedrich, Lin ED - Sidorin, Y. ED - Wächter, Christoph T1 - FEM modelling of 3D photonic crystals and photonic crystal waveguides T2 - Integrated Optics : Devices, Materials and Technologies IX Y1 - 2005 U6 - https://doi.org/10.1117/12.585895 VL - 5728 SP - 164 EP - 173 PB - Proc. SPIE ER - TY - CHAP A1 - Burger, Sven A1 - Klose, Roland A1 - Schädle, Achim A1 - Schmidt, Frank A1 - Zschiedrich, Lin T1 - Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures T2 - Scientific Computing in Electrical Engineering Y1 - 2006 U6 - https://doi.org/10.1007/978-3-540-32862-9_24 SP - 169 EP - 175 PB - Springer Verlag ER - TY - CHAP A1 - Burger, Sven A1 - Kleemann, B. A1 - Zschiedrich, Lin A1 - Schmidt, Frank T1 - Finite-Element Simulations of Light Propagation through Circular Subwavelength Apertures T2 - Microtechnologies for the New Millenium Y1 - 2009 U6 - https://doi.org/10.1117/12.822828 VL - 7366 SP - 736621 PB - Proc. SPIE ER - 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 - Cataliotti, F. A1 - Burger, Sven A1 - Natale, P. A1 - Fort, C. A1 - Giusfredi, G. A1 - Inguscio, Massimo A1 - Minardi, F. A1 - Pastor, P. A1 - Pavone, F. ED - Figger, H. ED - Meschede, D. ED - Zimmermann, C. T1 - From Atoms to Single Biomolecules Through Bose-Einstein Condensates T2 - Laser Physics at the Limits Y1 - 2002 PB - Springer Verlag CY - Heidelberg ER - TY - JOUR A1 - Cataliotti, F. A1 - Burger, Sven A1 - Fort, C. A1 - Maddaloni, P. A1 - Minardi, F. A1 - Trombettoni, A. A1 - Smerzi, A. A1 - Inguscio, Massimo T1 - Josephson Junction Arrays with Bose-Einstein condensates JF - Science Y1 - 2001 VL - 293 SP - 843 EP - 846 ER - TY - CHAP A1 - Poulikakos, Lisa A1 - Gutsche, Philipp A1 - McPeak, Kevin A1 - Burger, Sven A1 - Niegemann, Jens A1 - Hafner, Christian A1 - Norris, David T1 - A Far-Field Interpretation of Optical Chirality in Analogy to Poynting’s Theorem T2 - META '15 Proceedings N2 - The optical chirality density is a valuable tool in locally characterizing chiral electromagnetic near-fields. However, how this quantity could translate into the far-field is not well understood. Here, we formulate a far-field interpretation of optical chirality by investigating its conservation law in isotropic media in analogy to Poynting’s Theorem. We define the global chirality and find that lossy materials, in particular plasmonic nanostructures, can act as chirality generators. This can enable chiral sensing applications at the single molecule level. Y1 - 2015 SP - 1215 EP - 1216 ER - TY - GEN A1 - Poulikakos, Lisa A1 - Gutsche, Philipp A1 - McPeak, Kevin A1 - Burger, Sven A1 - Niegemann, Jens A1 - Hafner, Christian A1 - Norris, David T1 - A Far-Field Interpretation of the Optical Chirality T2 - Frontiers in Nanophotonics (Congressi Stefano Franscini) N2 - A chiral structure is not super-imposable with its mirror image. Most commonly found in organic molecules, chirality can also occur in other systems, such as electromagnetic fields, where circularly polarized light is the most widespread example. Chiral electromagnetic fields can be a useful tool for biosensing applications. In particular, it has been shown that chiral plasmonic nanostructures have the ability to produce strongly enhanced chiral near-fields. Recently, our group has developed chiral plasmonic nanopyramids, which have the ability to focus chiral near-fields at their tip. This could enable chiral sensing at the single-molecule level. Chiral near-fields can be characterized in terms of the “optical chirality density”. This time-even and parity-odd pseudoscalar was first derived by Lipkin and was found to follow a conservation law analogous to the energy conservation of electromagnetic fields. More recently, Tang and Cohen identified the physical meaning of the “optical chirality density” as the degree of asymmetry in the excitation rate of a chiral molecule. However, how this near-field interpretation of the optical chirality could translate into the far-field is not well understood. Here, we formulate a far-field interpretation by investigating the conservation law for optical chirality in matter, and performing time-averaging in analogy to Poynting’s Theorem. In parallel to extinction energy, we define the “global chirality” as the sum of chirality dissipation within a material and the chirality flux leaving the system. With finite-element simulations, we place a dipole source at locations of enhanced local chirality and investigate the global chirality and ellipticity of emitted light in the far-field. Interestingly, we find that lossy materials with a complex dielectric function have the ability to generate global chirality when excited by achiral light. In particular, chiral plasmonic nanostructures are found to act as effective global chirality generators. The global interpretation of optical chirality provides a useful tool for biosensing applications with chiral plasmonic nanostructures, where the detection is routinely performed in the far-field. Y1 - 2015 ER - TY - CHAP A1 - Agcos, Emil A1 - Bodermann, Bernd A1 - Burger, Sven A1 - Dai, Gaoliang A1 - Endres, Johannes A1 - Hansen, Poul-Erik A1 - Nielson, Lars A1 - Madsen, Morten A1 - Heidenreich, Sebastian A1 - Krumrey, Michael A1 - Loechel, Bernd A1 - Probst, Jürgen A1 - Scholze, Frank A1 - Soltwisch, Victor A1 - Wurm, Matthias T1 - Scatterometry reference standards to improve tool matching and traceability in lithographical nanomanufacturing T2 - Proc. SPIE Y1 - 2015 U6 - https://doi.org/10.1117/12.2190409 VL - 9556 SP - 955610 ER - TY - CHAP A1 - Skibina, Julia A1 - Bock, Martin A1 - Fischer, Dorit A1 - Grunwald, Rüdiger A1 - Steinmeyer, Günter A1 - Wedell, Reiner A1 - Bretschneider, Mario A1 - Burger, Sven A1 - Beloglazov, Valentin T1 - 10-fs fiber based pulse delivery T2 - Conference on Lasers, Applications, and Technologies (LAT) Y1 - 2013 SP - LWF5 ER - TY - JOUR A1 - Becker, Christiane A1 - Wyss, Philippe A1 - Eisenhauer, David A1 - Probst, Jürgen A1 - Preidel, Veit A1 - Hammerschmidt, Martin A1 - Burger, Sven T1 - 5 x 5 cm2 silicon photonic crystal slabs on glass and plastic foil exhibiting broadband absorption and high-intensity near-fields JF - Sci. Rep. Y1 - 2014 U6 - https://doi.org/10.1038/srep05886 VL - 4 SP - 5886 ER - TY - CHAP A1 - Scholze, Frank A1 - Bodermann, Bernd A1 - Burger, Sven A1 - Endres, Johannes A1 - Haase, Anton A1 - Krumrey, Michael A1 - Laubis, Christian A1 - Soltwisch, Victor A1 - Ullrich, Albrecht A1 - Wernecke, Jan T1 - Determination of line profiles on photomasks using DUV, EUV and X-ray scattering T2 - Proc. SPIE Y1 - 2014 U6 - https://doi.org/10.1117/12.2065941 VL - 9231 SP - 92310M ER - TY - JOUR A1 - Kaschke, Johannes A1 - Blome, Mark A1 - Burger, Sven A1 - Wegener, Martin T1 - Tapered N-helical metamaterials with three-fold rotational symmetry as improved circular polarizers JF - Opt. Expr. Y1 - 2014 U6 - https://doi.org/10.1364/OE.22.019936 VL - 22 IS - 17 SP - 19936 EP - 19946 ER - TY - JOUR A1 - Shchukin, Vitaly A1 - Ledentsov, Jr., Nikolay A1 - Kropp, Jörg-R. A1 - Steinle, Gunther A1 - Ledentsov, Jr., Nikolay A1 - Burger, Sven A1 - Schmidt, Frank T1 - Single-Mode Vertical Cavity Surface Emitting Laser via Oxide-Aperture-Engineering of Leakage of High Order Transverse Modes JF - IEEE J. Quant. Electron. Y1 - 2014 U6 - https://doi.org/10.1109/JQE.2014.2364544 VL - 50 IS - 12 SP - 990 EP - 995 ER - TY - CHAP A1 - Soltwisch, Victor A1 - Wernecke, Jan A1 - Haase, Anton A1 - Probst, Jürgen A1 - Schoengen, Max A1 - Scholze, Frank A1 - Pomplun, Jan A1 - Burger, Sven T1 - Determination of line profile on nanostructured surfaces using EUV and x-ray scattering T2 - Proc. SPIE Y1 - 2014 U6 - https://doi.org/10.1117/12.2066165 VL - 9235 SP - 92351D ER - TY - CHAP A1 - Ledentsov, Jr., Nikolay A1 - Kropp, Jörg-R. A1 - Shchukin, Vitaly A1 - Steinle, Gunther A1 - Ledentsov, Jr., Nikolay A1 - Turkiewicz, Jarek P. A1 - Wu, Bo A1 - Shaofeng, Qiu A1 - Ma, Yanan A1 - Zhiyong, Feng A1 - Burger, Sven A1 - Schmidt, Frank A1 - Caspar, Christoph A1 - Freund, Ronald A1 - Choquette, Kent D. T1 - High-speed modulation, wavelength, and mode control in vertical-cavity surface-emitting lasers T2 - Proc. SPIE Y1 - 2015 U6 - https://doi.org/10.1117/12.2082951 VL - 9381 SP - 93810F ER - TY - CHAP A1 - Shchukin, Vitaly A1 - Ledentsov, Jr., Nikolay A1 - Kropp, Jörg-R. A1 - Steinle, Gunther A1 - Ledentsov, Jr., Nikolay A1 - Choquette, Kent D. A1 - Burger, Sven A1 - Schmidt, Frank T1 - Engineering of optical modes in vertical-cavity microresonators by aperture placement: applications to single-mode and near-field lasers T2 - Proc. SPIE Y1 - 2015 U6 - https://doi.org/10.1117/12.2077012 VL - 9381 SP - 93810V ER - TY - JOUR A1 - Petrik, Peter A1 - Kumar, Nitish A1 - Fried, Miklos A1 - Fodor, Bálint A1 - Juhász, György A1 - Pereira, Silvania A1 - Burger, Sven A1 - Urbach, H. Paul T1 - Fourier ellipsometry – an ellipsometric approach to Fourier scatterometry JF - J. Eur. Opt. Soc.-Rapid Y1 - 2015 U6 - https://doi.org/10.2971/jeos.2015.15002 VL - 10 SP - 15002 ER - TY - CHAP A1 - Menzel, Christoph A1 - Hebestreit, Erik A1 - Mühlig, Stefan A1 - Burger, Sven A1 - Rockstuhl, Carsten A1 - Lederer, Falk A1 - Pertsch, Thomas ED - Zouhdi, Said ED - Al-Naimiy, Hamid T1 - Towards homogeneous magnetic metamaterials - a comprehensive multipole analysis T2 - Proc. META'13 Y1 - 2013 SN - 978-2-9545460-0-1 SP - 502 EP - 503 ER - TY - CHAP A1 - Wohlfeil, Benjamin A1 - Stamatiadis, Christos A1 - Jäger, Matthias A1 - Zimmermann, Lars A1 - Burger, Sven A1 - Petermann, Klaus T1 - Integrated optical fiber grating coupler on SOI for the excitation of several higher order fiber modes T2 - Optical Communication (ECOC), 2014 European Conference on Y1 - 2014 U6 - https://doi.org/10.1109/ECOC.2014.6963980 SP - 1 EP - 3 ER - TY - CHAP A1 - Wiesendanger, Samuel A1 - Bischoff, Thomas A1 - Jovanov, Vladislav A1 - Knipp, Dietmar A1 - Burger, Sven A1 - Lederer, Falk A1 - Rockstuhl, Carsten T1 - Numerical investigations on the effects of film growth modes on light trapping in silicon thin film solar cells T2 - Light, Energy and the Environment Y1 - 2014 U6 - https://doi.org/10.1364/PV.2014.PF4C.4 SP - PF4C.4 PB - OSA ER - TY - GEN A1 - Hammerschmidt, Martin A1 - Döpking, Sandra A1 - Burger, Sven A1 - Matera, Sebastian T1 - Field Heterogeneities and their Impact on Photocatalysis: Combining optical and kinetic Monte Carlo Simulations on the Nanoscale N2 - Gaining insights into the working principles of photocatalysts on an atomic scale is a challenging task. The obviously high complexity of the reaction mechanism involving photo-excited electrons and holes is one reason. Another complicating aspect is that the electromagnetic field, driving photocatalysis, is not homogeneous on a nanoscale level for particle based catalysts as it is influenced by the particle’s shape and size. We present a simple model, inspired by the CO2 reduction on titania anatase, which addresses the impact of these heterogeneities on the photocatalytic kinetics by combining kinetic Monte Carlo with electromagnetic wave simulations. We find that average activity and especially efficiency might differ significantly between different particles. Moreover, we find sizable variation of the catalytic activity on a single facet of a nanocrystal. Besides this quantitative heterogeneity, the coverage situation in general changes laterally on this facet and we observe a concomitant change of the rate-determining steps. This heterogeneity on all levels of photocatalytic activity is masked in experimental studies, where only the spatially averaged activity can be addressed. Microkinetic models based on experimental findings might therefore not represent the true micro- scopic behavior, and mechanistic conclusion drawn from these need to be handled with care. T3 - ZIB-Report - 17-20 Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-63690 SN - 1438-0064 ER - TY - CHAP A1 - Jäger, Klaus A1 - Köppel, Grit A1 - Hammerschmidt, Martin A1 - Burger, Sven A1 - Becker, Christiane T1 - Accurate optical simulations of periodic nanostructures on a thick glass substrate T2 - 29th Workshop on Quantum Solar Energy Conversion - (QUANTSOL) Y1 - 2017 ER - TY - GEN A1 - Hammerschmidt, Martin A1 - Weiser, Martin A1 - Santiago, Xavier Garcia A1 - Zschiedrich, Lin A1 - Bodermann, Bernd A1 - Burger, Sven T1 - Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion N2 - We present a Newton-like method to solve inverse problems and to quantify parameter uncertainties. We apply the method to parameter reconstruction in optical scatterometry, where we take into account a priori information and measurement uncertainties using a Bayesian approach. Further, we discuss the influence of numerical accuracy on the reconstruction result. T3 - ZIB-Report - 17-37 KW - computational metrology KW - optical metrology KW - computational lithography KW - nanolithography KW - finite- element methods KW - nanooptics Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-64704 SN - 1438-0064 ER - TY - CHAP A1 - Gregersen, Niels A1 - Rosenkrantz de Lasson, Jakob A1 - Hagedorn Frandsen, Lars A1 - Häyrynen, Teppo A1 - Lavrinenko, Andrei A1 - Moerk, Jesper A1 - Wang, Fengwen A1 - Sigmund, Ole A1 - Kim, Oleksiy S. A1 - Breinbjerg, Olav A1 - Ivinskaya, Aliaksandra A1 - Gutsche, Philipp A1 - Burger, Sven T1 - Benchmarking five computational methods for analyzing large photonic crystal membrane cavities T2 - Numerical Simulation of Optoelectronic Devices (NUSOD) Y1 - 2017 U6 - https://doi.org/10.1109/NUSOD.2017.8010005 SP - 89 ER - TY - CHAP A1 - Ledentsov, Jr., Nikolay A1 - Shchukin, Vitaly A1 - Ledentsov, Jr., Nikolay A1 - Kropp, Jörg-R. A1 - Burger, Sven A1 - Schmidt, Frank T1 - New Generation of Vertical-Cavity Surface-Emitting Lasers for Optical Interconnects T2 - Future Trends in Microelectronics: Journey into the Unknown Y1 - 2016 U6 - https://doi.org/10.1002/9781119069225.ch3-5 PB - John Wiley & Sons ER - TY - JOUR A1 - Jäger, Klaus A1 - Köppel, Grit A1 - Eisenhauer, David A1 - Chen, Duote A1 - Hammerschmidt, Martin A1 - Burger, Sven A1 - Becker, Christiane T1 - Optical simulations of advanced light management for liquid-phase crystallized silicon thin-film solar cells JF - Proc. SPIE Y1 - 2017 U6 - https://doi.org/10.1117/12.2273994 VL - 10356 SP - 103560F ER - TY - CHAP A1 - Novitsky, Andrey A1 - Rosenkrantz de Lasson, Jakob A1 - Hagedorn Frandsen, Lars A1 - Gutsche, Philipp A1 - Burger, Sven A1 - Kim, Oleksiy S. A1 - Breinbjerg, Olav A1 - Ivinskaya, Aliaksandra A1 - Wang, Fengwen A1 - Sigmund, Ole A1 - Häyrynen, Teppo A1 - Lavrinenko, Andrei A1 - Mørk, Jesper A1 - Gregersen, Niels T1 - Comparison of five computational methods for computing Q factors in photonic crystal membrane cavities T2 - 19th International Conference on Transparent Optical Networks (ICTON) Y1 - 2017 U6 - https://doi.org/10.1109/ICTON.2017.8024813 ER - TY - JOUR A1 - Barth, Carlo A1 - Roder, Sebastian A1 - Brodoceanu, Daniel A1 - Kraus, Tobias A1 - Hammerschmidt, Martin A1 - Burger, Sven A1 - Becker, Christiane T1 - Increased fluorescence of PbS quantum dots in photonic crystals by excitation enhancement JF - Appl. Phys. Lett. Y1 - 2017 U6 - https://doi.org/10.1063/1.4995229 VL - 111 SP - 031111 ER - TY - JOUR A1 - Hammerschmidt, Martin A1 - Weiser, Martin A1 - Santiago, Xavier Garcia A1 - Zschiedrich, Lin A1 - Bodermann, Bernd A1 - Burger, Sven T1 - Quantifying parameter uncertainties in optical scatterometry using Bayesian inversion JF - Proc. SPIE Y1 - 2017 U6 - https://doi.org/10.1117/12.2270596 VL - 10330 SP - 1033004 ER - TY - JOUR A1 - Schneider, Philipp-Immanuel A1 - Santiago, Xavier Garcia A1 - Rockstuhl, Carsten A1 - Burger, Sven T1 - Global optimization of complex optical structures using Bayesian optimization based on Gaussian processes JF - Proc. SPIE Y1 - 2017 U6 - https://doi.org/10.1117/12.2270609 VL - 10335 SP - 103350O ER - TY - JOUR A1 - Santiago, Xavier Garcia A1 - Burger, Sven A1 - Rockstuhl, Carsten A1 - Fernandez-Corbaton, Ivan T1 - Measuring the electromagnetic chirality of 2D arrays under normal illumination JF - Opt. Lett. Y1 - 2017 U6 - https://doi.org/10.1364/OL.42.004075 VL - 42 SP - 4075 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 - JOUR A1 - Wiesendanger, Samuel A1 - Bischoff, Thomas A1 - Jovanov, Vladislav A1 - Knipp, Dietmar A1 - Burger, Sven A1 - Lederer, Falk A1 - Rockstuhl, Carsten T1 - Effects of film growth modes on light trapping in silicon thin film solar cells JF - Appl. Phys. Lett. Y1 - 2014 U6 - https://doi.org/10.1063/1.4882997 VL - 104 IS - 23 SP - 231103 ER - TY - GEN A1 - Amiranashvili, Shalva A1 - Bandelow, Uwe A1 - Blome, Mark A1 - Burger, Sven A1 - Schmidt, Frank A1 - Schmidt, Kersten A1 - Zschiedrich, Lin ED - Deuflhard, Peter ED - et al., T1 - Nanophotonics and nonlinear fiber optics T2 - MATHEON-Mathematics for Key Technologies Y1 - 2014 U6 - https://doi.org/10.4171/137 VL - 1 SP - 257 EP - 275 PB - European Mathematical Society ER - TY - JOUR A1 - Menzel, Christoph A1 - Hebestreit, Erik A1 - Alaee, Rasoul A1 - Albooyeh, Mohammad A1 - Mühlig, Stefan A1 - Burger, Sven A1 - Rockstuhl, Carsten A1 - Simovski, Constantin A1 - Tretyakov, Sergei A1 - Lederer, Falk A1 - Pertsch, Thomas T1 - Extreme Coupling: a route towards local magnetic metamaterials JF - Phys. Rev. B Y1 - 2014 U6 - https://doi.org/10.1103/PhysRevB.89.155125 VL - 89 SP - 155125 ER - TY - JOUR A1 - Menzel, Christoph A1 - Hebestreit, Erik A1 - Mühlig, Stefan A1 - Rockstuhl, Carsten A1 - Burger, Sven A1 - Lederer, Falk A1 - Pertsch, Thomas T1 - The spectral shift between near- and far-field resonances of optical nano-antennas JF - Opt. Expr. Y1 - 2014 U6 - https://doi.org/10.1364/OE.22.009971 VL - 22 IS - 8 SP - 9971 EP - 9982 ER - TY - JOUR A1 - McPeak, Kevin A1 - van Engers, Christian D. A1 - Blome, Mark A1 - Park, Jong Hyuk A1 - Burger, Sven A1 - Gosalvez, Miguel A. A1 - Faridi, Ava A1 - Ries, Yasmina A1 - Sahu, Ayaskanta A1 - Norris, David T1 - Complex Chiral Colloids and Surfaces via High-Index Off-Cut Silicon JF - Nano Lett. Y1 - 2014 U6 - https://doi.org/10.1021/nl501032j VL - 14 IS - 5 SP - 2934 EP - 2940 ER - TY - JOUR A1 - Poulikakos, Lisa A1 - Gutsche, Philipp A1 - McPeak, Kevin A1 - Burger, Sven A1 - Niegemann, Jens A1 - Hafner, Christian A1 - Norris, David T1 - The Optical Chirality Flux as a Useful Far-Field Probe of Chiral Near Fields JF - ACS Photonics Y1 - 2016 U6 - https://doi.org/10.1021/acsphotonics.6b00201 VL - 3 SP - 1619 ER - TY - GEN A1 - Hammerschmidt, Martin A1 - Barth, Carlo A1 - Pomplun, Jan A1 - Burger, Sven A1 - Becker, Christiane A1 - Schmidt, Frank T1 - Reconstruction of photonic crystal geometries using a reduced basis method for nonlinear outputs N2 - Maxwell solvers based on the hp-adaptive finite element method allow for accurate geometrical modeling and high numerical accuracy. These features are indispensable for the optimization of optical properties or reconstruction of parameters through inverse processes. High computational complexity prohibits the evaluation of the solution for many parameters. We present a reduced basis method (RBM) for the time-harmonic electromagnetic scattering problem allowing to compute solutions for a parameter configuration orders of magnitude faster. The RBM allows to evaluate linear and nonlinear outputs of interest like Fourier transform or the enhancement of the electromagnetic field in milliseconds. We apply the RBM to compute light-scattering off two dimensional photonic crystal structures made of silicon and reconstruct geometrical parameters. T3 - ZIB-Report - 16-06 KW - finite element method KW - rigorous optical modeling KW - photonic crystals KW - reduced basis method KW - parameter estimation KW - optical metrology Y1 - 2016 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-57249 SN - 1438-0064 ER - TY - GEN A1 - Gutsche, Philipp A1 - Poulikakos, Lisa A1 - Burger, Sven A1 - Hammerschmidt, Martin A1 - Schmidt, Frank T1 - Optical chirality: conservation law in arbitrary space T2 - 606. WE-Heraeus-Seminar on Nanophotonics and Complex Spatial Modes of Light N2 - The introduction of the near-field quantity of optical chirality has emerged in various numerical and few experimental studies of local chirality enhancement due to its relation to the excitation rate of chiral molecules. This time-even pseudoscalar has been dismissed as being a higher-order version of helicity. Nevertheless, we revisit the derivation of the underlying conservation law and define optical chirality in media similar to. We identify the mechanism of chirality conversion by either inhomogeneous or anisotropic space to complement the conservation of optical chirality. The conservation law of optical chirality in arbitrary space enables the extension of the concept of polarization to the near-field where no distiniguished propagation direction of light is present. We show that the connection of electromagnetic energy and optical chirality provide the ability to define a circular polarization basis in time-harmonic near-field analysis. In order to illustrate our theory, we present electromagnetic field simulations of simple as well as more complex nanostructures. Results using the well-known far-field polarization concept are readily reproduced and extended from the point of view of chirality conversion. Y1 - 2016 ER - TY - JOUR A1 - Fodor, Bálint A1 - Kozma, Peter A1 - Burger, Sven A1 - Fried, Miklos A1 - Petrik, Peter T1 - Effective medium approximation of ellipsometric response from random surface roughness simulated by finite-element method JF - Thin Solid Films Y1 - 2016 U6 - https://doi.org/10.1016/j.tsf.2016.01.054 VL - 617 SP - 20 ER -