@inproceedings{BurgerSchmidtZschiedrich2010, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {FEM simulation of resonances in low-Q cavities for plasmon lasers}, booktitle = {International Workshop on Photonic Nanomaterials}, editor = {Jena, Friedrich-Schiller-Universit{\"a}t}, isbn = {978-3-00-031358-5}, pages = {36}, year = {2010}, language = {en} } @inproceedings{BurgerSchmidtZschiedrich2010, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {Numerical investigation of optical resonances in circular grating resonators}, volume = {7606}, booktitle = {Silicon Photonics V}, publisher = {Proc. SPIE}, doi = {10.1117/12.842061}, pages = {760610}, year = {2010}, language = {en} } @inproceedings{BurgerSchmidtZschiedrich2010, author = {Burger, Sven and Schmidt, Frank and Zschiedrich, Lin}, title = {Numerical Investigation of Photonic Crystal Microcavities in Silicon-on-Insulator Waveguides}, volume = {7609}, booktitle = {Photonic and Phononic Crystal Materials and Devices X}, publisher = {Proc. SPIE}, doi = {10.1117/12.841867}, pages = {76091Q}, year = {2010}, language = {en} } @inproceedings{PomplunZschiedrichBurgeretal.2010, author = {Pomplun, Jan and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank and Tyminski, Jacek and Flagello, Donis and Toshiharu, N.}, title = {Reduced basis method for source mask optimization}, volume = {7823}, booktitle = {Photomask Technology}, publisher = {Proc. SPIE}, doi = {10.1117/12.866101}, pages = {78230E}, year = {2010}, language = {en} } @inproceedings{BurgerSchaedleZschiedrichetal.2006, author = {Burger, Sven and Sch{\"a}dle, Achim and Zschiedrich, Lin and Schmidt, Frank}, title = {Advanced FEM Analysis of Nano-Optical Devices}, volume = {6195}, booktitle = {Nanophotonics}, editor = {Andrews, David L. and Nunzi, Jean-Michel and Ostendorf, Andreas}, publisher = {Proc. SPIE}, doi = {10.1117/12.662942}, pages = {72 -- 82}, year = {2006}, language = {en} } @inproceedings{BurgerKloseMaerzetal.2004, author = {Burger, Sven and Klose, Roland and M{\"a}rz, Reinhard and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {Efficient Finite Element Methods for the Design of Microoptical Components}, booktitle = {Proc. Microoptics Conf. 2004}, year = {2004}, language = {en} } @inproceedings{BurgerKloseSchaedleetal.2005, author = {Burger, Sven and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {FEM modelling of 3D photonic crystals and photonic crystal waveguides}, volume = {5728}, booktitle = {Integrated Optics : Devices, Materials and Technologies IX}, editor = {Sidorin, Y. and W{\"a}chter, Christoph}, publisher = {Proc. SPIE}, doi = {10.1117/12.585895}, pages = {164 -- 173}, year = {2005}, language = {en} } @incollection{BurgerKloseSchaedleetal.2006, author = {Burger, Sven and Klose, Roland and Sch{\"a}dle, Achim and Schmidt, Frank and Zschiedrich, Lin}, title = {Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures}, booktitle = {Scientific Computing in Electrical Engineering}, publisher = {Springer Verlag}, doi = {10.1007/978-3-540-32862-9_24}, pages = {169 -- 175}, year = {2006}, language = {en} } @inproceedings{BurgerKleemannZschiedrichetal.2009, author = {Burger, Sven and Kleemann, B. and Zschiedrich, Lin and Schmidt, Frank}, title = {Finite-Element Simulations of Light Propagation through Circular Subwavelength Apertures}, volume = {7366}, booktitle = {Microtechnologies for the New Millenium}, publisher = {Proc. SPIE}, doi = {10.1117/12.822828}, pages = {736621}, year = {2009}, language = {en} } @inproceedings{BurgerKoehleZschiedrichetal.2006, author = {Burger, Sven and K{\"o}hle, Roderick and Zschiedrich, Lin and Nguyen, H. and Schmidt, Frank and M{\"a}rz, Reinhard and N{\"o}lscher, Christoph}, title = {Rigorous Simulation of 3D Masks}, volume = {6349}, booktitle = {Photomask Technology}, editor = {Martin, P. and Naber, R.}, publisher = {Proc. SPIE}, pages = {63494Z}, year = {2006}, language = {en} } @inproceedings{DeuflhardFrieseSchmidtetal.1996, author = {Deuflhard, Peter and Friese, T. and Schmidt, Frank and M{\"a}rz, Reinhard and Nolting, Hans-Peter}, title = {Effiziente Eigenmodenberechnung f{\"u}r den Entwurf integriert-optischer Chips}, booktitle = {Mathematik - Schl{\"u}sseltechnologie f{\"u}r die Zukunft}, editor = {et al. Hoffmann, K.-H.}, publisher = {Springer Verlag}, pages = {267 -- 279}, year = {1996}, language = {en} } @misc{GutscheJuddSchmidt2014, author = {Gutsche, Philipp and Judd, Thomas and Schmidt, Frank}, title = {A convergence study of different Rigorous Coupled Wave Analysis (RCWA) approaches to time-harmonic electromagnetic scattering problems with applications to nanooptical structures}, journal = {Verhandlungen der Deutschen Physikalischen Gesellschaft (DPG-Fr{\"u}hjahrstagung Berlin 2014)}, year = {2014}, abstract = {Reliable numerical simulations of nano-optical structures are the key for design and pre-fabrication processes in diverse disciplines such as lithography in semiconductor industries, spectroscopy of biological molecules, optimization of quantum dot cavities for single-photon sources, and computation of atomic forces like the Casimir Effect. For these purposes a variety of different methods, e.g. FDTD, FEM and RCWA, are in use. On the one hand, FDTD and FEM are investigated intensively - both in mathematics and numerical experiments - and their approximations and convergence properties are well known. On the other hand, there is a lack of these insights in RCWA. In spite of this, RCWA is commonly used to simulate a wide range of systems. We review historical and modern contributions to convergence improvements with respect to RCWA from the early sugesstions to modern developments. We study the convergence rates of the open-source software S4 and analyze the algorithmic properties in detail. Furthermore, we compare RCWA and FEM simulations for different classes of problems including 1D-binary gratings and 2D-periodic photonic crystals.}, language = {en} } @inproceedings{BurgerGutscheHammerschmidtetal.2015, author = {Burger, Sven and Gutsche, Philipp and Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Schmidt, Frank and Wohlfeil, Benjamin and Zschiedrich, Lin}, title = {Hp-finite-elements for simulating electromagnetic fields in optical devices with rough textures}, volume = {9630}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1510.02607}, doi = {10.1117/12.2190119}, pages = {96300S}, year = {2015}, language = {en} } @misc{HammerschmidtHerrmannPomplunetal.2015, author = {Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Zschiedrich, Lin and Burger, Sven and Schmidt, Frank}, title = {Reduced basis method for Maxwell's equations with resonance phenomena}, volume = {9630}, journal = {Proc. SPIE}, issn = {1438-0064}, doi = {10.1117/12.2190425}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-55687}, pages = {96300R}, year = {2015}, abstract = {Rigorous optical simulations of 3-dimensional nano-photonic structures are an important tool in the analysis and optimization of scattering properties of nano-photonic devices or parameter reconstruction. To construct geometrically accurate models of complex structured nano-photonic devices the finite element method (FEM) is ideally suited due to its flexibility in the geometrical modeling and superior convergence properties. Reduced order models such as the reduced basis method (RBM) allow to construct self-adaptive, error-controlled, very low dimensional approximations for input-output relationships which can be evaluated orders of magnitude faster than the full model. This is advantageous in applications requiring the solution of Maxwell's equations for multiple parameters or a single parameter but in real time. We present a reduced basis method for 3D Maxwell's equations based on the finite element method which allows variations of geometric as well as material and frequency parameters. We demonstrate accuracy and efficiency of the method for a light scattering problem exhibiting a resonance in the electric field.}, language = {en} } @inproceedings{BurgerZschiedrichPomplunetal.2015, author = {Burger, Sven and Zschiedrich, Lin and Pomplun, Jan and Herrmann, Sven and Schmidt, Frank}, title = {hp-finite element method for simulating light scattering from complex 3D structures}, volume = {9424}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1503.06617}, doi = {10.1117/12.2085795}, pages = {94240Z}, year = {2015}, language = {en} } @article{ShchukinLedentsovJrKroppetal.2014, author = {Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Steinle, Gunther and Ledentsov, Jr., Nikolay and Burger, Sven and Schmidt, Frank}, title = {Single-Mode Vertical Cavity Surface Emitting Laser via Oxide-Aperture-Engineering of Leakage of High Order Transverse Modes}, volume = {50}, journal = {IEEE J. Quant. Electron.}, number = {12}, doi = {10.1109/JQE.2014.2364544}, pages = {990 -- 995}, year = {2014}, language = {en} } @book{LavrinenkoLaegsgaardGregersenetal.2014, author = {Lavrinenko, Andrei and Laegsgaard, Jesper and Gregersen, Niels and Schmidt, Frank and Soendergaard, Thomas}, title = {Numerical Methods in Photonics}, editor = {Wyant, James C.}, publisher = {CRC Press}, isbn = {9781466563889}, year = {2014}, language = {en} } @inproceedings{LedentsovJrKroppShchukinetal.2015, author = {Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Shchukin, Vitaly and Steinle, Gunther and Ledentsov, Jr., Nikolay and Turkiewicz, Jarek P. and Wu, Bo and Shaofeng, Qiu and Ma, Yanan and Zhiyong, Feng and Burger, Sven and Schmidt, Frank and Caspar, Christoph and Freund, Ronald and Choquette, Kent D.}, title = {High-speed modulation, wavelength, and mode control in vertical-cavity surface-emitting lasers}, volume = {9381}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2082951}, pages = {93810F}, year = {2015}, language = {en} } @inproceedings{ShchukinLedentsovJrKroppetal.2015, author = {Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Steinle, Gunther and Ledentsov, Jr., Nikolay and Choquette, Kent D. and Burger, Sven and Schmidt, Frank}, title = {Engineering of optical modes in vertical-cavity microresonators by aperture placement: applications to single-mode and near-field lasers}, volume = {9381}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2077012}, pages = {93810V}, year = {2015}, language = {en} } @incollection{LedentsovJrShchukinLedentsovJretal.2016, author = {Ledentsov, Jr., Nikolay and Shchukin, Vitaly and Ledentsov, Jr., Nikolay and Kropp, J{\"o}rg-R. and Burger, Sven and Schmidt, Frank}, title = {New Generation of Vertical-Cavity Surface-Emitting Lasers for Optical Interconnects}, booktitle = {Future Trends in Microelectronics: Journey into the Unknown}, publisher = {John Wiley \& Sons}, doi = {10.1002/9781119069225.ch3-5}, year = {2016}, language = {en} } @inproceedings{LockauHammerschmidtHaschkeetal.2014, author = {Lockau, Daniel and Hammerschmidt, Martin and Haschke, Jan and Blome, Mark and Ruske, Florian and Schmidt, Frank and Rech, Bernd}, title = {A comparison of scattering and non-scattering anti-reflection designs for back contacted polycrystalline thin film silicon solar cells in superstrate configuration}, volume = {9140}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2052362}, pages = {914006}, year = {2014}, language = {en} } @inproceedings{ManleySchmidtSchmid2013, author = {Manley, Phillip and Schmidt, Frank and Schmid, Martina}, title = {Light extraction from plasmonic particles with dielectric shells and overcoatings}, booktitle = {Renewable Energy and the Environment}, publisher = {Optical Society of America}, doi = {10.1364/PV.2013.PW3B.7}, pages = {PW3B.7}, year = {2013}, language = {en} } @article{RuprechtSchaedleSchmidt2013, author = {Ruprecht, Daniel and Sch{\"a}dle, Achim and Schmidt, Frank}, title = {Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems}, volume = {29}, journal = {Numerical Methods for Partial Differential Equations}, number = {4}, doi = {10.1002/num.21759}, pages = {1367 -- 1390}, year = {2013}, language = {en} } @misc{HammerschmidtPomplunBurgeretal.2014, author = {Hammerschmidt, Martin and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Adaptive sampling strategies for efficient parameter scans in nano-photonic device simulations}, issn = {1438-0064}, doi = {10.1117/12.2036363}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-50395}, year = {2014}, abstract = {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.}, language = {en} }