Niklas Georg

M.Sc. Computational Engineering

Research topic

Simulation of RF and Optical Components with Uncertainty Quantification

More information

Numerical simulations are well established and play an important role in the design process of electromagnetic components. Thereby, the geometry of the devices and the material properties which are the input data of the numerical simulation, are generally assumed to be known exactly. However, this is not the case in practice, since the manufacturing process introduces (possibly small) variations which usually can only be described statistically. Additionally, there is often a lack of knowledge about the material data due to measurement errors. These uncertainties in the input data can then cause the real components to fail the design specifications. It also favors the choice of disproportionate safety factors. This is especially problematic because of the decreasing size of structures and increasing demands on the components, e.g. in nanotechnology.

Therefore, favored by the continuously increasing computing power, uncertainty quantification (UQ) is a topic of great interest. UQ aims for realistic predictions by describing input data as well as output data as random variables. The probability density function (PDF) of the inputs is then propagated to the outputs, i.e. the quantities of interest (QoIs). In many cases it can also be sufficient to compute a few statistical moments, e.g. mean and standard deviation of the QoI. This could be achieved by applying the well-known Monte Carlo (MC) simulation. However, MC simulation is too computationally expensive for many applications since it needs many (possibly millions) of simulation runs in order to obtain reliable results. In this research, spectral methods for efficient UQ of high-frequency and optical components are investigated. In particular, periodic metamaterials and plasmonic structures are considered which can be subject to relatively huge manufacturing imperfections.

Contact information

Address:

Dolivostraße 15

D-64293 Darmstadt

Germany

Phone:

+49 6151 16 - 24393

Fax:

+49 6151 16 - 24404

Office:

S4|10-230

Email:

georg (at) gsc.tu...

Publications

Jump to: 2019 | 2018 | 2017 | 2016

2019

Georg, Niklas ; Ackermann, Wolfgang ; Corno, Jacopo ; Schöps, Sebastian (2019):
Uncertainty Quantification for Maxwell's Eigenproblem based on Isogeometric Analysis and Mode Tracking.
In: Computer Methods in Applied Mechanics and Engineering, Elsevier, S. 228-244, 350, ISSN 0045-7825,
DOI: 10.1016/j.cma.2019.03.002,
[Online-Edition: https://doi.org/10.1016/j.cma.2019.03.002],
[Article]

Schmitt, Nikolai ; Georg, Niklas ; Gauthier, Brière ; Loukrezis, Dimitrios ; Héron, Sébastien ; Lanteri, Stéphane ; Klitis, Charalambos ; Sorel, Marc ; Römer, Ulrich ; De Gersem, Herbert ; Vézian, Stéphane ; Genevet, Patrice (2019):
Optimization and uncertainty quantification of gradient index metasurfaces.
In: Optical Materials Express, OSA, S. 892-910, 9, (2), DOI: 10.1364/OME.9.000892,
[Online-Edition: http://www.osapublishing.org/ome/abstract.cfm?URI=ome-9-2-89...],
[Article]

Fuhrländer, Mona ; Georg, Niklas ; Schöps, Sebastian (2019):
Yield Estimation and Optimization of Electromagnetic Devices.
Valencia, Spain, In: 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), [Online-Edition: https://iciam2019.org],
[Konferenzveröffentlichung]

2018

Georg, Niklas ; Corno, Jacopo ; De Gersem, Herbert ; Zadeh, Shahnam Gorgi ; Römer, Ulrich ; Schöps, Sebastian ; Sulimov, Alexey ; van Rienen, Ursula (2018):
Uncertainty quantification for the fundamental mode spectrum of the European XFEL Cavities.
In: 13th International Computational Accelerator Physics Conference (ICAP18), [Online-Edition: http://bt.pa.msu.edu/ICAP18],
[Konferenzveröffentlichung]

Georg, Niklas ; Loukrezis, Dimitrios ; Römer, Ulrich ; Schöps, Sebastian (2018):
Uncertainty Quantification for an Optical Grating Coupler with Adjoint-based Adaptive Collocation.
Maxwell in Motion, In: Workshop on Advances in Electromagnetic Research — KWT 2018, Rietzlern, Austria, [Online-Edition: http://maxwell-in-motion.org],
[Konferenzveröffentlichung]

Georg, Niklas ; Römer, Ulrich ; Schöps, Sebastian ; Schuhmann, Rolf (2018):
Uncertainty Quantification for an Optical Grating Coupler using Adaptive Stochastic Collocation.
In: SIAM Conference on Uncertainty Quantification 2018, [Online-Edition: https://www.siam.org/meetings/uq18],
[Konferenzveröffentlichung]

2017

Georg, Niklas ; Römer, Ulrich ; Schöps, Sebastian (2017):
Uncertainty Quantification for a Plasmon Waveguide using Stochastic Collocation.
In: Workshop on Advances in Electromagnetic Research — KWT 2017, [Online-Edition: http://maxwell-in-motion.org],
[Konferenzveröffentlichung]

Ackermann, Wolfgang ; Corno, Jacopo ; de Falco, Carlo ; Georg, Niklas ; Kellermann, Malena ; Krimm, Alexander ; Schöps, Sebastian
Schuhmann, Rolf (Hrsg.) (2017):
Eigenvalue Tracking for the Sensitivity Analysis of Resonant Modes in Superconducting Cavities.
Groß-Behnitz, Germany, In: URSI-B Workshop Felder und Wellen, Groß-Behnitz, Germany, [Konferenzveröffentlichung]

2016

Ackermann, Wolfgang ; Corno, Jacopo ; de Falco, Carlo ; Georg, Niklas ; Kellermann, Malena ; Krimm, Alexander ; Schöps, Sebastian (2016):
Eigenvalue Tracking for the Sensitivity Analysis of Higher Order Modes.
In: ICFA Mini Workshop on High Order Modes in Superconducting Cavities (HOMSC) 2016, [Online-Edition: http://indico.cern.ch/event/465683/],
[Konferenzveröffentlichung]

Contact

Technische Universität Darmstadt

Graduate School CE
Dolivostraße 15
D-64293 Darmstadt

Phone+49 6151/16-24401    or
-24402
Fax+49 6151/16-24404
OfficeS4|10-322

to assistants' office

Open BSc/MSc Theses

Show a list of open BSc/MSc topics at GSC CE.

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