المؤلفون: Maltsi, Anieza, Niermann, Tore, Streckenbach, Timo, Tabelow, Karsten, Koprucki, Thomas

مصطلحات موضوعية: article, ddc:510, 34B60, 74B10, 78A45, 81V65, Semiconductors -- quantum dots -- TEM images -- electron wave propagation -- strain

الوصف: We present a mathematical model and a tool chain for the numerical simulation of TEM images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin-Howie-Whelan equations, describing the propagation of the electron wave through the sample. We perform a simulation study on indium gallium arsenide QDs with different shapes and compare the resulting TEM images to experimental ones. This tool chain can be applied to generate a database of simulated TEM images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques.

العلاقة: https://doi.org/10.20347/WIAS.PREPRINT.2682Test; https://archive.wias-berlin.de/receive/wias_mods_00003841Test; https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00003113/wias_preprints_2682.pdfTest; http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2020&number=2682Test

الإتاحة: https://doi.org/10.20347/WIAS.PREPRINT.2682Test
https://archive.wias-berlin.de/receive/wias_mods_00003841Test
https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00003113/wias_preprints_2682.pdfTest
http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2020&number=2682Test

المؤلفون: Niermann, Tore, Streckenbach, Timo, Koprucki, Thomas, Maltsi, Anieza, Tabelow, Karsten

مصطلحات موضوعية: article, ddc:510, Semiconductors -- quantum dots -- TEM images -- electron wave propagation -- strain

الوصف: We present a mathematical model and a tool chain for the numerical simulation of TEM images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin–Howie–Whelan equations, describing the propagation of the electron wave through the sample. We perform a simulation study on indium gallium arsenide QDs with different shapes and compare the resulting TEM images to experimental ones. This tool chain can be applied to generate a database of simulated TEM images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques.

العلاقة: Optical and Quantum Electronics -- Opt. Quant. Electron. -- Opt. Quantum Electron. -- Opt. a. Quantum Electron. -- 0306-8919 -- 189950-8 -- 1572-817X -- 2000642-1 -- https://www.springer.com/journal/11082Test; https://doi.org/10.1007/s11082-020-02356-yTest; https://archive.wias-berlin.de/receive/wias_mods_00004809Test

الإتاحة: https://doi.org/10.1007/s11082-020-02356-yTest
https://archive.wias-berlin.de/receive/wias_mods_00004809Test

المؤلفون: Maltsi, Anieza, Niermann, Tore, Streckenbach, Timo, Tabelow, Karsten, Koprucki, Thomas

مصطلحات موضوعية: article, ddc:510, 34B60, 74B10, 78A45, 81V65, Semiconductors -- quantum dots -- TEM images -- electron wave propagation -- strain

الوصف: We present a mathematical model and a tool chain for the numerical simulation of TEM images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin-Howie-Whelan equations, describing the propagation of the electron wave through the sample. We perform a simulation study on indium gallium arsenide QDs with different shapes and compare the resulting TEM images to experimental ones. This tool chain can be applied to generate a database of simulated TEM images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques.

العلاقة: https://doi.org/10.20347/WIAS.PREPRINT.2682Test; https://archive.wias-berlin.de/receive/wias_mods_00003841Test; https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00003113/wias_preprints_2682.pdfTest; http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2020&number=2682Test

الإتاحة: https://doi.org/10.20347/WIAS.PREPRINT.2682Test
https://archive.wias-berlin.de/receive/wias_mods_00003841Test
https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00003113/wias_preprints_2682.pdfTest
http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2020&number=2682Test

المؤلفون: Giannoulis, Johannes, Herrmann, Michael, Mielke, Alexander

مصطلحات موضوعية: article, ddc:510, 34C20, 34E13, 37K60, 37K05, 70F45, 70K70, Discrete lattice systems -- modulation equations -- Hamiltonian structure -- multiscale ansatz -- dispersive wave propagation

الوصف: The passage from microscopic systems to macroscopic ones is studied by starting from spatially discrete lattice systems and deriving several continuum limits. The lattice system is an infinite-dimensional Hamiltonian system displaying a variety of different dynamical behavior. Depending on the initial conditions one sees quite different behavior like macroscopic elastic deformations associated with acoustic waves or like propagation of optical pulses. We show how on a formal level different macroscopic systems can be derived such as the Korteweg-de Vries equation, the nonlinear Schroedinger equation, Whitham's modulation equation, the three-wave interaction model, or the energy transport equation using the Wigner measure. We also address the question how the microscopic Hamiltonian and the Lagrangian structures transfer to similar structures on the macroscopic level. Finally we discuss rigorous analytical convergence results of the microscopic system to the macroscopic one by either weak-convergence methods or by quantitative error bounds.

العلاقة: https://doi.org/10.20347/WIAS.PREPRINT.1126Test; https://archive.wias-berlin.de/receive/wias_mods_00001460Test; https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00001378/wias_preprints_1126.pdfTest; http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2006&number=1126Test

الإتاحة: https://doi.org/10.20347/WIAS.PREPRINT.1126Test
https://archive.wias-berlin.de/receive/wias_mods_00001460Test
https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00001378/wias_preprints_1126.pdfTest
http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2006&number=1126Test

المؤلفون: Giannoulis, Johannes, Herrmann, Michael, Mielke, Alexander

مصطلحات موضوعية: article, ddc:510, 34C20, 34E13, 37K60, 37K05, 70F45, 70K70, Discrete lattice systems -- modulation equations -- Hamiltonian structure -- multiscale ansatz -- dispersive wave propagation

الوصف: The passage from microscopic systems to macroscopic ones is studied by starting from spatially discrete lattice systems and deriving several continuum limits. The lattice system is an infinite-dimensional Hamiltonian system displaying a variety of different dynamical behavior. Depending on the initial conditions one sees quite different behavior like macroscopic elastic deformations associated with acoustic waves or like propagation of optical pulses. We show how on a formal level different macroscopic systems can be derived such as the Korteweg-de Vries equation, the nonlinear Schroedinger equation, Whitham's modulation equation, the three-wave interaction model, or the energy transport equation using the Wigner measure. We also address the question how the microscopic Hamiltonian and the Lagrangian structures transfer to similar structures on the macroscopic level. Finally we discuss rigorous analytical convergence results of the microscopic system to the macroscopic one by either weak-convergence methods or by quantitative error bounds.

العلاقة: https://doi.org/10.20347/WIAS.PREPRINT.1126Test; https://archive.wias-berlin.de/receive/wias_mods_00001460Test; https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00001378/wias_preprints_1126.pdfTest; http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2006&number=1126Test

الإتاحة: https://doi.org/10.20347/WIAS.PREPRINT.1126Test
https://archive.wias-berlin.de/receive/wias_mods_00001460Test
https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00001378/wias_preprints_1126.pdfTest
http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2006&number=1126Test

المؤلفون: Herrmann, Michael, Giannoulis, Johannes, Mielke, Alexander

مصطلحات موضوعية: article, ddc:510, Discrete lattice systems -- modulation equations -- Hamiltonian structure -- multiscale ansatz -- dispersive wave propagation

الوصف: The passage from microscopic systems to macroscopic ones is studied by starting from spatially discrete lattice systems and deriving several continuum limits. The lattice system is an infinite-dimensional Hamiltonian system displaying a variety of different dynamical behavior. Depending on the initial conditions one sees quite different behavior like macroscopic elastic deformations associated with acoustic waves or like propagation of optical pulses. We show how on a formal level different macroscopic systems can be derived such as the Korteweg-de Vries equation, the nonlinear Schrödinger equation, Whitham’s modulation equation, the three-wave interaction model, or the energy transport equation using the Wigner measure. We also address the question how the microscopic Hamiltonian and the Lagrangian structures transfer to similar structures on the macroscopic level. Finally we discuss rigorous analytical convergence results of the microscopic system to the macroscopic one by either weak-convergence methods or by quantitative error bounds.

العلاقة: Analysis, Modeling and Simulation of Multiscale Problems -- https://link.springer.com/book/10.1007/3-540-35657-6#tocTest; https://doi.org/10.1007/3-540-35657-6_16Test; https://archive.wias-berlin.de/receive/wias_mods_00006352Test

الإتاحة: https://doi.org/10.1007/3-540-35657-6_16Test
https://archive.wias-berlin.de/receive/wias_mods_00006352Test