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Semiconductor Nanophotonics pp 241–283Cite as

Multi-dimensional Modeling and Simulation of Semiconductor Nanophotonic Devices

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 194))

Abstract

Self-consistent modeling and multi-dimensional simulation of semiconductor nanophotonic devices is an important tool in the development of future integrated light sources and quantum devices. Simulations can guide important technological decisions by revealing performance bottlenecks in new device concepts, contribute to their understanding and help to theoretically explore their optimization potential. The efficient implementation of multi-dimensional numerical simulations for computer-aided design tasks requires sophisticated numerical methods and modeling techniques. We review recent advances in device-scale modeling of quantum dot based single-photon sources and laser diodes by self-consistently coupling the optical Maxwell equations with semi-classical carrier transport models using semi-classical and fully quantum mechanical descriptions of the optically active region, respectively. For the simulation of realistic devices with complex, multi-dimensional geometries, we have developed a novel hp-adaptive finite element approach for the optical Maxwell equations, using mixed meshes adapted to the multi-scale properties of the photonic structures. For electrically driven devices, we introduced novel discretization and parameter-embedding techniques to solve the drift-diffusion system for strongly degenerate semiconductors at cryogenic temperatures. Our methodical advances are demonstrated on various applications, including vertical-cavity surface-emitting lasers, grating couplers and single-photon sources.

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Notes

  1. 1.

    www.opencascade.com.

  2. 2.

    www.pythonocc.org.

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Acknowledgements

This work has been supported by the German Research Foundation (DFG) within the collaborative research center SFB 787 Semiconductor Nanophotonics under grant B4. The authors would like to thank Patricio Farrell, Jürgen Fuhrmann, Philipp Gutsche, Jan Pomplun, Nella Rotundo, Alexander Wilms, Benjamin Wohlfeil and Lin Zschiedrich for excellent collaboration and valuable discussions.

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Authors and Affiliations

  1. Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117, Berlin, Germany

    Markus Kantner, Thomas Koprucki, Hans-Jürgen Wünsche, Alexander Mielke & Uwe Bandelow

  2. Zuse-Institut Berlin, Takustraße 7, 14195, Berlin, Germany

    Theresa Höhne, Sven Burger & Frank Schmidt

  3. Ferdinand-Braun-Institut, Leibniz-Institut für Höchstfrequenztechnik, Gustav-Kirchhoff-Str. 4, 12489, Berlin, Germany

    Hans-Jürgen Wünsche

  4. Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany

    Alexander Mielke

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    Michael Kneissl

  2. Institute of Theoretical Physics, Technische Universität Berlin, Berlin, Germany

    Andreas Knorr

  3. Institute of Solid State Physics, Technische Universität Berlin, Berlin, Germany

    Stephan Reitzenstein

  4. Institute of Solid State Physics, Technische Universität Berlin, Berlin, Germany

    Axel Hoffmann

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Kantner, M. et al. (2020). Multi-dimensional Modeling and Simulation of Semiconductor Nanophotonic Devices. In: Kneissl, M., Knorr, A., Reitzenstein, S., Hoffmann, A. (eds) Semiconductor Nanophotonics. Springer Series in Solid-State Sciences, vol 194. Springer, Cham. https://doi.org/10.1007/978-3-030-35656-9_7

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