TY - CHAP A1 - Pomplun, Jan A1 - Burger, Sven A1 - Rozova, Maria A1 - Zschiedrich, Lin A1 - Schmidt, Frank T1 - Finite element simulation of optical modes in VCSELs T2 - Numerical Simulation of Optoelectronic Devices (NUSOD), 11th International Conference on Y1 - 2011 U6 - https://doi.org/10.1109/NUSOD.2011.6041170 SP - 119 EP - 120 ER - TY - JOUR A1 - Richter, Marten A1 - Schlosser, Felix A1 - Schoth, Mario A1 - Burger, Sven A1 - Schmidt, Frank A1 - Knorr, Andreas A1 - Mukamel, Shaul T1 - Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique JF - Phys. Rev. B Y1 - 2012 U6 - https://doi.org/10.1103/PhysRevB.86.085308 VL - 86 SP - 085308 ER - TY - CHAP A1 - Rozova, Maria A1 - Pomplun, Jan A1 - Zschiedrich, Lin A1 - Schmidt, Frank A1 - Burger, Sven T1 - 3D finite element simulation of optical modes in VCSELs T2 - Proc. SPIE Y1 - 2012 U6 - https://doi.org/10.1117/12.906372 VL - 8255 SP - 82550K ER - TY - CHAP A1 - Pomplun, Jan A1 - Wenzel, Hans A1 - Burger, Sven A1 - Zschiedrich, Lin A1 - Rozova, Maria A1 - Schmidt, Frank A1 - Crump, Paul A1 - Ekhteraei, Hossein A1 - Schultz, Christoph M. A1 - Erbert, Götz T1 - Thermo-optical simulation of high-power diode lasers T2 - Proc. SPIE Y1 - 2012 U6 - https://doi.org/10.1117/12.909330 VL - 8255 SP - 825510 ER - TY - JOUR A1 - Kewes, Günter A1 - Schell, Andreas W. A1 - Henze, Rico A1 - Schonfeld, Rolf S. A1 - Burger, Sven A1 - Busch, Kurt A1 - Benson, Oliver T1 - Design and numerical optimization of an easy-to-fabricate photon-to-plasmon coupler for quantum plasmonics JF - Applied Physics Letters Y1 - 2013 U6 - https://doi.org/10.1063/1.4790824 VL - 102 SP - 051104 ER - TY - CHAP A1 - Wohlfeil, Benjamin A1 - Burger, Sven A1 - Stamatiadis, Christos A1 - Pomplun, Jan A1 - Schmidt, Frank A1 - Zimmermann, Lars A1 - Petermann, Klaus T1 - Numerical Simulation of Grating Couplers for Mode Multiplexed Systems T2 - Proc. SPIE Y1 - 2014 U6 - https://doi.org/10.1117/12.2044461 VL - 8988 SP - 89880K ER - TY - CHAP A1 - Wenzel, Hans A1 - Crump, Paul A1 - Ekhteraei, Hossein A1 - Schultz, Christoph M. A1 - Pomplun, Jan A1 - Burger, Sven A1 - Zschiedrich, Lin A1 - Schmidt, Frank A1 - Erbert, Götz T1 - Theoretical and experimental analysis of the lateral modes of high-power broad-area lasers T2 - Numerical Simulation of Optoelectronic Devices Y1 - 2011 U6 - https://doi.org/10.1109/NUSOD.2011.6041183 SP - 143 EP - 144 ER - TY - THES A1 - Wohlfeil, Benjamin T1 - Integrated fiber grating couplers in silicon photonics Y1 - 2015 U6 - https://doi.org/10.14279/depositonce-4521 ER - TY - CHAP A1 - Hiremath, Kirankumar A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Schmidt, Frank T1 - Finite elements based numerical solution of nonlocal hydrodynamic Drude model of nano-plasmonic scatterers T2 - 12th International Conference on Fiber Optics and Photonics Y1 - 2014 U6 - https://doi.org/10.1364/PHOTONICS.2014.M3D.4 SP - M3D.4 ER - TY - THES A1 - Gutsche, Philipp T1 - Convergence Study of the Fourier Modal Method for Nano-optical Scattering Problems in Comparison with the Finite Element Method N2 - Nano-optical scattering problems play an important role in our modern, technologically driven society. Computers, smartphones and all kinds of electronic devices are manufactured by the semiconductor industry which relies on production using photomasks as well as optical process control. The digital world, e.g. the world wide web, is based on optical interconnects and so-called quantum computers based on optics are supposed to be next generation computers. Moreover, global economic progress demands new and sustainable energy resources and one option is to make use of the power stored in optical radiation from the sun. Additionally, understanding fundamental physics such as the optical properties of asymmetric, or chiral, structures could promote future innovations in engineering. In order to understand and manipulate these kinds of processes, physics provides a well established model: the so-called Maxwell’s equations. Stated by James Clerk Maxwell in 1862, this description of the interaction of light and matter still provides a profound basis for the analysis of electromagnetic phenomena. However, real world problems cannot be calculated using simple mathematics. Rather, computer simulations are needed to obtain solutions of the physical model. Finding suitable methods to solve these problems opens up a wide variety of possibilities. On the one hand, there are methods which require long computing times. On the other hand, some algorithms depend on high memory usage. That is why the field of numerics deals with the question which method is optimally suited for specific problems. The aim of this work is to investigate the applicability of the so-called Fourier Modal Method (FMM) to nano-optical scattering problems in general. Since simple analytical solutions are non-existent for most recent physical problems, we use the Finite Element Method (FEM) to double-check performance of the FMM. Mathematics provide reliable procedures to control the errors of numerics using the FEM. Yet up to now it has not been possible to rigorously classify the quality of the Fourier Modal Method’s results. It is not fully understood whether the process of investing more and more computing resources yields more accurate results. So, we have to ask ourselves: does the numerical method invariably converge? In spite of this uncertainty when using the FMM, it is a well established method dating back to the 1980s. This numerical method has recently been used to optimize performance of solar cells [19] as well as to improve the optical properties of so-called single-photon sources [41] which are essential for quantum cryptography. The latter is a promising candidate to increase digital security and revolutionise cryptography techniques. Furthermore, with the help of the Fourier Modal Method an important issue in optics has been partly resolved: angular filtering of light was made possible by using a mirror which becomes transparent at a certain viewing angle [77]. In addition, an improved numerical technique to design so-called Photonic Crystal waveguides based on the FMM was developed recently [15]. Photonic Crystals are used in the fields of optical bio-sensing and for the construction of novel semiconductor devices. Moreover, approaches to link the FMM and the FEM try to combine advantages of both methods to obtain fast and accurate results [81]. These ideas are closely linked to the well-known concept of Domain Decomposition within the FEM [88]. Here, one possibility to couple domains is to use the scattering matrix formalism as it is done in the FMM. In the scope of this convergence study, we state Maxwell’s equations, particularly for periodic geometries. We describe two physical phenomena of nano-optics, namely chirality and opto-electrical coupling, and define the errors of our simulations. Afterwards, the two investigated methods are analysed with respect to their general properties and a way to unify modelling physics when using both algorithms is presented. With the help of various numerical experiments, we explore convergence characteristics of the FMM and draw conclusions about the ability of this approach to provide accurate results and, consequently, its potential for research on technological innovations. KW - Nano-optics KW - Fourier Modal Method (FMM) KW - Rigorous Coupled Wave Analysis (RCWA) KW - Finite Element Method (FEM) Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-56084 ER - TY - GEN A1 - Gutsche, Philipp A1 - Judd, Thomas A1 - Schmidt, Frank T1 - A convergence study of different Rigorous Coupled Wave Analysis (RCWA) approaches to time-harmonic electromagnetic scattering problems with applications to nanooptical structures T2 - Verhandlungen der Deutschen Physikalischen Gesellschaft (DPG-Frühjahrstagung Berlin 2014) N2 - 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. Y1 - 2014 ER -