---
_id: '33461'
abstract:
- lang: eng
text: Data-driven models for nonlinear dynamical systems based on approximating
the underlying Koopman operator or generator have proven to be successful tools
for forecasting, feature learning, state estimation, and control. It has become
well known that the Koopman generators for control-affine systems also have affine
dependence on the input, leading to convenient finite-dimensional bilinear approximations
of the dynamics. Yet there are still two main obstacles that limit the scope of
current approaches for approximating the Koopman generators of systems with actuation.
First, the performance of existing methods depends heavily on the choice of basis
functions over which the Koopman generator is to be approximated; and there is
currently no universal way to choose them for systems that are not measure preserving.
Secondly, if we do not observe the full state, we may not gain access to a sufficiently
rich collection of such functions to describe the dynamics. This is because the
commonly used method of forming time-delayed observables fails when there is actuation.
To remedy these issues, we write the dynamics of observables governed by the Koopman
generator as a bilinear hidden Markov model, and determine the model parameters
using the expectation-maximization (EM) algorithm. The E-step involves a standard
Kalman filter and smoother, while the M-step resembles control-affine dynamic
mode decomposition for the generator. We demonstrate the performance of this method
on three examples, including recovery of a finite-dimensional Koopman-invariant
subspace for an actuated system with a slow manifold; estimation of Koopman eigenfunctions
for the unforced Duffing equation; and model-predictive control of a fluidic pinball
system based only on noisy observations of lift and drag.
author:
- first_name: Samuel E.
full_name: Otto, Samuel E.
last_name: Otto
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Clarence W.
full_name: Rowley, Clarence W.
last_name: Rowley
citation:
ama: Otto SE, Peitz S, Rowley CW. Learning Bilinear Models of Actuated Koopman Generators
from Partially-Observed Trajectories. SIAM Journal on Applied Dynamical Systems.
2024;23(1):885-923. doi:10.1137/22M1523601
apa: Otto, S. E., Peitz, S., & Rowley, C. W. (2024). Learning Bilinear Models
of Actuated Koopman Generators from Partially-Observed Trajectories. SIAM
Journal on Applied Dynamical Systems, 23(1), 885–923. https://doi.org/10.1137/22M1523601
bibtex: '@article{Otto_Peitz_Rowley_2024, title={Learning Bilinear Models of Actuated
Koopman Generators from Partially-Observed Trajectories}, volume={23}, DOI={10.1137/22M1523601}, number={1},
journal={SIAM Journal on Applied Dynamical Systems}, publisher={SIAM}, author={Otto,
Samuel E. and Peitz, Sebastian and Rowley, Clarence W.}, year={2024}, pages={885–923}
}'
chicago: 'Otto, Samuel E., Sebastian Peitz, and Clarence W. Rowley. “Learning Bilinear
Models of Actuated Koopman Generators from Partially-Observed Trajectories.”
SIAM Journal on Applied Dynamical Systems 23, no. 1 (2024): 885–923. https://doi.org/10.1137/22M1523601.'
ieee: 'S. E. Otto, S. Peitz, and C. W. Rowley, “Learning Bilinear Models of Actuated
Koopman Generators from Partially-Observed Trajectories,” SIAM Journal on
Applied Dynamical Systems, vol. 23, no. 1, pp. 885–923, 2024, doi: 10.1137/22M1523601.'
mla: Otto, Samuel E., et al. “Learning Bilinear Models of Actuated Koopman Generators
from Partially-Observed Trajectories.” SIAM Journal on Applied Dynamical Systems,
vol. 23, no. 1, SIAM, 2024, pp. 885–923, doi:10.1137/22M1523601.
short: S.E. Otto, S. Peitz, C.W. Rowley, SIAM Journal on Applied Dynamical Systems
23 (2024) 885–923.
date_created: 2022-09-22T07:21:40Z
date_updated: 2024-03-18T10:40:08Z
department:
- _id: '655'
doi: 10.1137/22M1523601
external_id:
arxiv:
- '2209.09977'
intvolume: ' 23'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2209.09977.pdf
oa: '1'
page: 885-923
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: SIAM Journal on Applied Dynamical Systems
publication_status: published
publisher: SIAM
status: public
title: Learning Bilinear Models of Actuated Koopman Generators from Partially-Observed
Trajectories
type: journal_article
user_id: '47427'
volume: 23
year: '2024'
...
---
_id: '46469'
abstract:
- lang: eng
text: 'We show how to learn discrete field theories from observational data of fields
on a space-time lattice. For this, we train a neural network model of a discrete
Lagrangian density such that the discrete Euler--Lagrange equations are consistent
with the given training data. We, thus, obtain a structure-preserving machine
learning architecture. Lagrangian densities are not uniquely defined by the solutions
of a field theory. We introduce a technique to derive regularisers for the training
process which optimise numerical regularity of the discrete field theory. Minimisation
of the regularisers guarantees that close to the training data the discrete field
theory behaves robust and efficient when used in numerical simulations. Further,
we show how to identify structurally simple solutions of the underlying continuous
field theory such as travelling waves. This is possible even when travelling waves
are not present in the training data. This is compared to data-driven model order
reduction based approaches, which struggle to identify suitable latent spaces
containing structurally simple solutions when these are not present in the training
data. Ideas are demonstrated on examples based on the wave equation and the Schrödinger
equation. '
article_number: '013104'
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from
data. Chaos. 2024;34(1). doi:10.1063/5.0172287
apa: Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational
PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
bibtex: '@article{Offen_Ober-Blöbaum_2024, title={Learning of discrete models of
variational PDEs from data}, volume={34}, DOI={10.1063/5.0172287},
number={1013104}, journal={Chaos}, publisher={AIP Publishing}, author={Offen,
Christian and Ober-Blöbaum, Sina}, year={2024} }'
chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of
Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287.
ieee: 'C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational
PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.'
mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational
PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
short: C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
date_created: 2023-08-10T08:24:48Z
date_updated: 2024-01-09T11:29:06Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1063/5.0172287
external_id:
arxiv:
- '2308.05082 '
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-01-09T10:48:38Z
date_updated: 2024-01-09T10:48:38Z
file_id: '50376'
file_name: Accepted manuscript with AIP banner CHA23-AR-01370.pdf
file_size: 13222105
relation: main_file
title: Accepted Manuscript Chaos
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-01-09T11:19:49Z
date_updated: 2024-01-09T11:19:49Z
description: |-
We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train
a neural network model of a discrete Lagrangian density such that the discrete Euler–Lagrange equations are consistent
with the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian
densities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for
the training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers
guarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical
simulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory
such as travelling waves. This is possible even when travelling waves are not present in the training data. This is
compared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces
containing structurally simple solutions when these are not present in the training data. Ideas are demonstrated on
examples based on the wave equation and the Schrödinger equation.
file_id: '50390'
file_name: LDensityPDE_AIP.pdf
file_size: 12960884
relation: main_file
title: Learning of discrete models of variational PDEs from data
file_date_updated: 2024-01-09T11:19:49Z
has_accepted_license: '1'
intvolume: ' 34'
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
oa: '1'
publication: Chaos
publication_identifier:
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/DLNN_pde
status: public
title: Learning of discrete models of variational PDEs from data
type: journal_article
user_id: '85279'
volume: 34
year: '2024'
...
---
_id: '46081'
author:
- first_name: Maria
full_name: Harnack, Maria
id: '54828'
last_name: Harnack
citation:
ama: Harnack M. Lebendiges Silberschmiedehandwerk in Westfalen am Beispiel der 1892
gegründeten Werkstatt Cassau in Paderborn. Graugold Magazin für Alltagskultur.
apa: Harnack, M. (n.d.). Lebendiges Silberschmiedehandwerk in Westfalen am Beispiel
der 1892 gegründeten Werkstatt Cassau in Paderborn. Graugold. Magazin Für Alltagskultur.
bibtex: '@article{Harnack, title={Lebendiges Silberschmiedehandwerk in Westfalen
am Beispiel der 1892 gegründeten Werkstatt Cassau in Paderborn}, journal={Graugold.
Magazin für Alltagskultur}, author={Harnack, Maria} }'
chicago: Harnack, Maria. “Lebendiges Silberschmiedehandwerk in Westfalen Am Beispiel
Der 1892 Gegründeten Werkstatt Cassau in Paderborn.” Graugold. Magazin Für
Alltagskultur, n.d.
ieee: M. Harnack, “Lebendiges Silberschmiedehandwerk in Westfalen am Beispiel der
1892 gegründeten Werkstatt Cassau in Paderborn,” Graugold. Magazin für Alltagskultur.
mla: Harnack, Maria. “Lebendiges Silberschmiedehandwerk in Westfalen Am Beispiel
Der 1892 Gegründeten Werkstatt Cassau in Paderborn.” Graugold. Magazin Für
Alltagskultur.
short: M. Harnack, Graugold. Magazin Für Alltagskultur (n.d.).
date_created: 2023-07-18T19:59:16Z
date_updated: 2023-07-19T07:17:00Z
language:
- iso: eng
publication: Graugold. Magazin für Alltagskultur
publication_status: accepted
status: public
title: Lebendiges Silberschmiedehandwerk in Westfalen am Beispiel der 1892 gegründeten
Werkstatt Cassau in Paderborn
type: journal_article
user_id: '54828'
year: '2024'
...
---
_id: '52215'
author:
- first_name: Vinicius
full_name: Carillo Beber, Vinicius
last_name: Carillo Beber
- first_name: Pedro
full_name: Fernandes, Pedro
last_name: Fernandes
- first_name: Christof
full_name: Nagel, Christof
last_name: Nagel
- first_name: Christian
full_name: Köster, Christian
last_name: Köster
- first_name: Anton
full_name: Matzenmiller, Anton
last_name: Matzenmiller
- first_name: Mathias
full_name: Hecht, Mathias
last_name: Hecht
- first_name: Jörg
full_name: Baumgartner, Jörg
last_name: Baumgartner
- first_name: Tobias
full_name: Melz, Tobias
last_name: Melz
- first_name: Karina
full_name: Tews, Karina
id: '40263'
last_name: Tews
- first_name: Serkan
full_name: Çavdar, Serkan
id: '36456'
last_name: Çavdar
- first_name: Gerson
full_name: Meschut, Gerson
id: '32056'
last_name: Meschut
orcid: 0000-0002-2763-1246
citation:
ama: 'Carillo Beber V, Fernandes P, Nagel C, et al. Lebensdauerprognose für Stahlklebverbindungen
bei multiaxialer Belastung mit Phasenverschiebung, veränderlicher Mittelspannung
und variablen Amplituden. In: 24. Kolloquium: Gemeinsame Forschung in der Klebtechnik.
; 2024.'
apa: 'Carillo Beber, V., Fernandes, P., Nagel, C., Köster, C., Matzenmiller, A.,
Hecht, M., Baumgartner, J., Melz, T., Tews, K., Çavdar, S., & Meschut, G.
(2024). Lebensdauerprognose für Stahlklebverbindungen bei multiaxialer Belastung
mit Phasenverschiebung, veränderlicher Mittelspannung und variablen Amplituden.
24. Kolloquium: Gemeinsame Forschung in der Klebtechnik. 24. Kolloquium:
Gemeinsame Forschung in der Klebtechnik, Köln.'
bibtex: '@inproceedings{Carillo Beber_Fernandes_Nagel_Köster_Matzenmiller_Hecht_Baumgartner_Melz_Tews_Çavdar_et
al._2024, title={Lebensdauerprognose für Stahlklebverbindungen bei multiaxialer
Belastung mit Phasenverschiebung, veränderlicher Mittelspannung und variablen
Amplituden}, booktitle={24. Kolloquium: Gemeinsame Forschung in der Klebtechnik},
author={Carillo Beber, Vinicius and Fernandes, Pedro and Nagel, Christof and Köster,
Christian and Matzenmiller, Anton and Hecht, Mathias and Baumgartner, Jörg and
Melz, Tobias and Tews, Karina and Çavdar, Serkan and et al.}, year={2024} }'
chicago: 'Carillo Beber, Vinicius, Pedro Fernandes, Christof Nagel, Christian Köster,
Anton Matzenmiller, Mathias Hecht, Jörg Baumgartner, et al. “Lebensdauerprognose
für Stahlklebverbindungen bei multiaxialer Belastung mit Phasenverschiebung, veränderlicher
Mittelspannung und variablen Amplituden.” In 24. Kolloquium: Gemeinsame Forschung
in der Klebtechnik, 2024.'
ieee: 'V. Carillo Beber et al., “Lebensdauerprognose für Stahlklebverbindungen
bei multiaxialer Belastung mit Phasenverschiebung, veränderlicher Mittelspannung
und variablen Amplituden,” presented at the 24. Kolloquium: Gemeinsame Forschung
in der Klebtechnik, Köln, 2024.'
mla: 'Carillo Beber, Vinicius, et al. “Lebensdauerprognose für Stahlklebverbindungen
bei multiaxialer Belastung mit Phasenverschiebung, veränderlicher Mittelspannung
und variablen Amplituden.” 24. Kolloquium: Gemeinsame Forschung in der Klebtechnik,
2024.'
short: 'V. Carillo Beber, P. Fernandes, C. Nagel, C. Köster, A. Matzenmiller, M.
Hecht, J. Baumgartner, T. Melz, K. Tews, S. Çavdar, G. Meschut, in: 24. Kolloquium:
Gemeinsame Forschung in der Klebtechnik, 2024.'
conference:
end_date: 2024-02-28
location: Köln
name: '24. Kolloquium: Gemeinsame Forschung in der Klebtechnik'
start_date: 2024-02-27
date_created: 2024-02-29T12:29:17Z
date_updated: 2024-02-29T12:33:37Z
department:
- _id: '157'
language:
- iso: ger
publication: '24. Kolloquium: Gemeinsame Forschung in der Klebtechnik'
status: public
title: Lebensdauerprognose für Stahlklebverbindungen bei multiaxialer Belastung mit
Phasenverschiebung, veränderlicher Mittelspannung und variablen Amplituden
type: conference
user_id: '40263'
year: '2024'
...
---
_id: '51129'
citation:
ama: Herzig B, Eickelmann B, Schwabl F, Schulze J, Niemann J, eds. Lehrkräftebildung
in der digitalen Welt – zukunftsorientierte Forschungs- und Praxisperspektiven.
Waxmann Verlag GmbH
apa: Herzig, B., Eickelmann, B., Schwabl, F., Schulze, J., & Niemann, J. (Eds.).
(n.d.). Lehrkräftebildung in der digitalen Welt – zukunftsorientierte Forschungs-
und Praxisperspektiven. Waxmann Verlag GmbH.
bibtex: '@book{Herzig_Eickelmann_Schwabl_Schulze_Niemann, place={Münster}, title={Lehrkräftebildung
in der digitalen Welt – zukunftsorientierte Forschungs- und Praxisperspektiven},
publisher={Waxmann Verlag GmbH} }'
chicago: 'Herzig, Bardo, Birgit Eickelmann, Franziska Schwabl, J. Schulze, and Jan
Niemann, eds. Lehrkräftebildung in der digitalen Welt – zukunftsorientierte
Forschungs- und Praxisperspektiven. Münster: Waxmann Verlag GmbH, n.d.'
ieee: 'B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, and J. Niemann, Eds., Lehrkräftebildung
in der digitalen Welt – zukunftsorientierte Forschungs- und Praxisperspektiven.
Münster: Waxmann Verlag GmbH.'
mla: Herzig, Bardo, et al., editors. Lehrkräftebildung in der digitalen Welt
– zukunftsorientierte Forschungs- und Praxisperspektiven. Waxmann Verlag GmbH.
short: B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, J. Niemann, eds., Lehrkräftebildung
in der digitalen Welt – zukunftsorientierte Forschungs- und Praxisperspektiven,
Waxmann Verlag GmbH, Münster, n.d.
date_created: 2024-02-05T08:11:03Z
date_updated: 2024-02-05T08:12:13Z
department:
- _id: '462'
editor:
- first_name: Bardo
full_name: Herzig, Bardo
id: '217'
last_name: Herzig
- first_name: Birgit
full_name: Eickelmann, Birgit
id: '40387'
last_name: Eickelmann
- first_name: Franziska
full_name: Schwabl, Franziska
id: '37157'
last_name: Schwabl
- first_name: J.
full_name: Schulze, J.
last_name: Schulze
- first_name: Jan
full_name: Niemann, Jan
id: '32467'
last_name: Niemann
language:
- iso: ger
place: Münster
publication_status: inpress
publisher: Waxmann Verlag GmbH
status: public
title: Lehrkräftebildung in der digitalen Welt – zukunftsorientierte Forschungs- und
Praxisperspektiven
type: book_editor
user_id: '40387'
year: '2024'
...
---
_id: '17740'
author:
- first_name: Volker
full_name: Peckhaus, Volker
id: '391'
last_name: Peckhaus
citation:
ama: 'Peckhaus V. Leibniz’s Influence on 19th Century Logic. In: Zalta EN., Nodelman
U, eds. The Stanford Encyclopedia of Philosophy, First Published Sep 4, 2009,
Substantive Revision Feb 2, 2024. ; 2024.'
apa: Peckhaus, V. (2024). Leibniz’s Influence on 19th Century Logic. In E. N. .
Zalta & U. Nodelman (Eds.), The Stanford Encyclopedia of Philosophy, first
published Sep 4, 2009, substantive revision Feb 2, 2024.
bibtex: '@inbook{Peckhaus_2024, title={Leibniz’s Influence on 19th Century Logic},
booktitle={The Stanford Encyclopedia of Philosophy, first published Sep 4, 2009,
substantive revision Feb 2, 2024}, author={Peckhaus, Volker}, editor={Zalta, Edward
N.. and Nodelman, Uri}, year={2024} }'
chicago: Peckhaus, Volker. “Leibniz’s Influence on 19th Century Logic.” In The
Stanford Encyclopedia of Philosophy, First Published Sep 4, 2009, Substantive
Revision Feb 2, 2024, edited by Edward N.. Zalta and Uri Nodelman, 2024.
ieee: V. Peckhaus, “Leibniz’s Influence on 19th Century Logic,” in The Stanford
Encyclopedia of Philosophy, first published Sep 4, 2009, substantive revision
Feb 2, 2024, E. N. . Zalta and U. Nodelman, Eds. 2024.
mla: Peckhaus, Volker. “Leibniz’s Influence on 19th Century Logic.” The Stanford
Encyclopedia of Philosophy, First Published Sep 4, 2009, Substantive Revision
Feb 2, 2024, edited by Edward N.. Zalta and Uri Nodelman, 2024.
short: 'V. Peckhaus, in: E.N.. Zalta, U. Nodelman (Eds.), The Stanford Encyclopedia
of Philosophy, First Published Sep 4, 2009, Substantive Revision Feb 2, 2024,
2024.'
date_created: 2020-08-10T06:08:50Z
date_updated: 2024-02-09T22:38:15Z
department:
- _id: '520'
editor:
- first_name: Edward N..
full_name: Zalta, Edward N..
last_name: Zalta
- first_name: Uri
full_name: Nodelman, Uri
last_name: Nodelman
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://plato.stanford.edu/entries/leibniz-logic-influence/
oa: '1'
publication: The Stanford Encyclopedia of Philosophy, first published Sep 4, 2009,
substantive revision Feb 2, 2024
status: public
title: Leibniz’s Influence on 19th Century Logic
type: encyclopedia_article
user_id: '391'
year: '2024'
...
---
_id: '49504'
author:
- first_name: Hendrik
full_name: Schlieper, Hendrik
last_name: Schlieper
citation:
ama: Schlieper H. Liebestragödie. Genealogien Einer Französischen Gattung Des
17. Jahrhunderts. Brill / Fink
apa: Schlieper, H. (n.d.). Liebestragödie. Genealogien einer französischen Gattung
des 17. Jahrhunderts. Brill / Fink .
bibtex: '@book{Schlieper, place={Paderborn}, series={Poesis. Schriften zu Literatur
und den Künsten der Frühmoderne / Habilitationsschrift, Universität Paderborn},
title={Liebestragödie. Genealogien einer französischen Gattung des 17. Jahrhunderts},
publisher={Brill / Fink }, author={Schlieper, Hendrik}, collection={Poesis. Schriften
zu Literatur und den Künsten der Frühmoderne / Habilitationsschrift, Universität
Paderborn} }'
chicago: 'Schlieper, Hendrik. Liebestragödie. Genealogien Einer Französischen
Gattung Des 17. Jahrhunderts. Poesis. Schriften Zu Literatur Und Den Künsten
Der Frühmoderne / Habilitationsschrift, Universität Paderborn. Paderborn: Brill
/ Fink , n.d.'
ieee: 'H. Schlieper, Liebestragödie. Genealogien einer französischen Gattung
des 17. Jahrhunderts. Paderborn: Brill / Fink .'
mla: Schlieper, Hendrik. Liebestragödie. Genealogien Einer Französischen Gattung
Des 17. Jahrhunderts. Brill / Fink .
short: H. Schlieper, Liebestragödie. Genealogien Einer Französischen Gattung Des
17. Jahrhunderts, Brill / Fink , Paderborn, n.d.
date_created: 2023-12-06T09:35:44Z
date_updated: 2023-12-06T09:37:10Z
department:
- _id: '116'
language:
- iso: eng
place: Paderborn
publication_status: inpress
publisher: 'Brill / Fink '
series_title: Poesis. Schriften zu Literatur und den Künsten der Frühmoderne / Habilitationsschrift,
Universität Paderborn
status: public
title: Liebestragödie. Genealogien einer französischen Gattung des 17. Jahrhunderts
type: book
user_id: '29963'
year: '2024'
...
---
_id: '50840'
abstract:
- lang: eng
text: Superconducting nanowire single-photon detectors (SNSPDs) have been
widely used to study the discrete nature of quantum states of light in the form
of photon-counting experiments. We show that SNSPDs can also be used to study
continuous variables of optical quantum states by performing homodyne detection
at a bandwidth of 400 kHz. By measuring the interference of a continuous-wave
field of a local oscillator with the field of the vacuum state using two SNSPDs,
we show that the variance of the difference in count rates is linearly proportional
to the photon flux of the local oscillator over almost five orders of magnitude.
The resulting shot-noise clearance of (46.0 ± 1.1) dB is the highest reported
clearance for a balanced optical homodyne detector, demonstrating their potential
for measuring highly squeezed states in the continuous-wave regime. In addition,
we measured a CMRR = 22.4 dB. From the joint click counting statistics, we also
measure the phase-dependent quadrature of a weak coherent state to demonstrate
our device’s functionality as a homodyne detector.
article_number: '1'
author:
- first_name: Maximilian
full_name: Protte, Maximilian
id: '46170'
last_name: Protte
- first_name: Timon
full_name: Schapeler, Timon
id: '55629'
last_name: Schapeler
orcid: 0000-0001-7652-1716
- first_name: Jan
full_name: Sperling, Jan
id: '75127'
last_name: Sperling
orcid: 0000-0002-5844-3205
- first_name: Tim
full_name: Bartley, Tim
id: '49683'
last_name: Bartley
citation:
ama: Protte M, Schapeler T, Sperling J, Bartley T. Low-noise balanced homodyne detection
with superconducting nanowire single-photon detectors. Optica Quantum.
2024;2(1). doi:10.1364/opticaq.502201
apa: Protte, M., Schapeler, T., Sperling, J., & Bartley, T. (2024). Low-noise
balanced homodyne detection with superconducting nanowire single-photon detectors.
Optica Quantum, 2(1), Article 1. https://doi.org/10.1364/opticaq.502201
bibtex: '@article{Protte_Schapeler_Sperling_Bartley_2024, title={Low-noise balanced
homodyne detection with superconducting nanowire single-photon detectors}, volume={2},
DOI={10.1364/opticaq.502201},
number={11}, journal={Optica Quantum}, publisher={Optica Publishing Group}, author={Protte,
Maximilian and Schapeler, Timon and Sperling, Jan and Bartley, Tim}, year={2024}
}'
chicago: Protte, Maximilian, Timon Schapeler, Jan Sperling, and Tim Bartley. “Low-Noise
Balanced Homodyne Detection with Superconducting Nanowire Single-Photon Detectors.”
Optica Quantum 2, no. 1 (2024). https://doi.org/10.1364/opticaq.502201.
ieee: 'M. Protte, T. Schapeler, J. Sperling, and T. Bartley, “Low-noise balanced
homodyne detection with superconducting nanowire single-photon detectors,” Optica
Quantum, vol. 2, no. 1, Art. no. 1, 2024, doi: 10.1364/opticaq.502201.'
mla: Protte, Maximilian, et al. “Low-Noise Balanced Homodyne Detection with Superconducting
Nanowire Single-Photon Detectors.” Optica Quantum, vol. 2, no. 1, 1, Optica
Publishing Group, 2024, doi:10.1364/opticaq.502201.
short: M. Protte, T. Schapeler, J. Sperling, T. Bartley, Optica Quantum 2 (2024).
date_created: 2024-01-25T11:48:02Z
date_updated: 2024-01-25T11:54:14Z
department:
- _id: '15'
- _id: '623'
doi: 10.1364/opticaq.502201
intvolume: ' 2'
issue: '1'
language:
- iso: eng
publication: Optica Quantum
publication_identifier:
issn:
- 2837-6714
publication_status: published
publisher: Optica Publishing Group
status: public
title: Low-noise balanced homodyne detection with superconducting nanowire single-photon
detectors
type: journal_article
user_id: '55629'
volume: 2
year: '2024'
...
---
_id: '51133'
abstract:
- lang: eng
text: In order to standardize spray flame synthesis (SFS) studies, intensive work
has been done in recent years on the design of burner types. Thus, in 2019, the
so-called SpraySyn1 burner was introduced (SS1), which was subsequently characterized
in numerical and experimental studies. Based on this research, a modification
of the nozzle design was proposed, which has now been considered in the successor
model, SpraySyn2 (SS2). As little is known about the effect of the nozzle adaptation
on the particle formation, we operated both burners under identical operating
conditions to produce maghemite. The final powder comparison showed that SS2 yielded
considerable higher specific surface areas (associated with smaller primary particle
sizes), lower polydispersity, and higher phase purity. To obtain further information
on the size distributions of aggregates and agglomerates generated by SS2, aerosol
samples were extracted by hole in a tube (HIAT) sampling and characterized by
scanning mobility particle sizing (SMPS). Samples were extracted along the centerline
at different heights above the burner (HAB) above the visible flame tip (>7 cm),
and quenching experiments were performed to extract the aerosol samples at different
dilution rates. Thereby, it was demonstrated that performing detailed quenching
experiments is crucial for obtaining representative HIAT-SMPS data. In particular,
agglomerates/aggregate sizes were overestimated by up to ~70 % if samples were
not sufficiently diluted. If sufficient dilution was applied, distribution widths
and mean particle mobility diameters were determined with high accuracy (sample
standard derivation <5 %). Our data suggested the evolution of primary particle
sizes was mostly completed <7 cm HAB and it was shown aggregates/agglomerates
present above the visible flame were compact in structure (non- fractal). The
mean diameter of the particle ensemble grew along the centerline from 6.9 nm (7
cm) to 11.4 nm (15 cm), while distribution widths grew from 1.42 to 1.52.
citation:
ama: Tischendorf R, Massopo O, Schmid H-J, et al., eds. Maghemite Nanoparticles
Synthesis via Spray Flame Synthesis and Particle Characterization by Hole in a
Tube Sampling and Scanning Mobility Particle Sizing (HIAT-SMPS). Elsevier;
2024. doi:https://doi.org/10.1016/j.jaecs.2023.100235
apa: Maghemite nanoparticles synthesis via spray flame synthesis and particle characterization
by hole in a tube sampling and scanning mobility particle sizing (HIAT-SMPS).
(2024). In R. Tischendorf, O. Massopo, H.-J. Schmid, O. Pyrmak, S. Dupont, F.
Fröde, H. Pitsch, & R. Kneer (Eds.), Applications in Energy and Combustion
Science. Elsevier. https://doi.org/10.1016/j.jaecs.2023.100235
bibtex: '@book{Tischendorf_Massopo_Schmid_Pyrmak_Dupont_Fröde_Pitsch_Kneer_2024,
title={Maghemite nanoparticles synthesis via spray flame synthesis and particle
characterization by hole in a tube sampling and scanning mobility particle sizing
(HIAT-SMPS)}, DOI={https://doi.org/10.1016/j.jaecs.2023.100235},
journal={Applications in Energy and Combustion Science}, publisher={Elsevier},
year={2024} }'
chicago: Tischendorf, Ricardo, Orlando Massopo, Hans-Joachim Schmid, Olek Pyrmak,
Sophie Dupont, Fabian Fröde, Heinz Pitsch, and Reinhold Kneer, eds. Maghemite
Nanoparticles Synthesis via Spray Flame Synthesis and Particle Characterization
by Hole in a Tube Sampling and Scanning Mobility Particle Sizing (HIAT-SMPS).
Applications in Energy and Combustion Science. Elsevier, 2024. https://doi.org/10.1016/j.jaecs.2023.100235.
ieee: R. Tischendorf et al., Eds., Maghemite nanoparticles synthesis via
spray flame synthesis and particle characterization by hole in a tube sampling
and scanning mobility particle sizing (HIAT-SMPS). Elsevier, 2024.
mla: Tischendorf, Ricardo, et al., editors. “Maghemite Nanoparticles Synthesis via
Spray Flame Synthesis and Particle Characterization by Hole in a Tube Sampling
and Scanning Mobility Particle Sizing (HIAT-SMPS).” Applications in Energy
and Combustion Science, Elsevier, 2024, doi:https://doi.org/10.1016/j.jaecs.2023.100235.
short: R. Tischendorf, O. Massopo, H.-J. Schmid, O. Pyrmak, S. Dupont, F. Fröde,
H. Pitsch, R. Kneer, eds., Maghemite Nanoparticles Synthesis via Spray Flame Synthesis
and Particle Characterization by Hole in a Tube Sampling and Scanning Mobility
Particle Sizing (HIAT-SMPS), Elsevier, 2024.
date_created: 2024-02-05T12:02:57Z
date_updated: 2024-02-05T12:25:00Z
ddc:
- '660'
department:
- _id: '150'
doi: https://doi.org/10.1016/j.jaecs.2023.100235
editor:
- first_name: Ricardo
full_name: Tischendorf, Ricardo
id: '67002'
last_name: Tischendorf
- first_name: Orlando
full_name: Massopo, Orlando
id: '98419'
last_name: Massopo
- first_name: Hans-Joachim
full_name: Schmid, Hans-Joachim
id: '464'
last_name: Schmid
orcid: 000-0001-8590-1921
- first_name: Olek
full_name: Pyrmak, Olek
last_name: Pyrmak
- first_name: Sophie
full_name: Dupont, Sophie
last_name: Dupont
- first_name: Fabian
full_name: Fröde, Fabian
last_name: Fröde
- first_name: Heinz
full_name: Pitsch, Heinz
last_name: Pitsch
- first_name: Reinhold
full_name: Kneer, Reinhold
last_name: Kneer
has_accepted_license: '1'
keyword:
- Flame Spray Pyrolysis
- SpraySyn2
- Spray flame synthesis
- Maghemite nanoparticles
- Gas to particle-conversion
- Hole in a tube sampling
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/S2666352X23001243?ref=cra_js_challenge&fr=RR-1
publication: Applications in Energy and Combustion Science
publication_status: published
publisher: Elsevier
status: public
title: Maghemite nanoparticles synthesis via spray flame synthesis and particle characterization
by hole in a tube sampling and scanning mobility particle sizing (HIAT-SMPS)
type: journal_editor
user_id: '98419'
year: '2024'
...
---
_id: '49815'
author:
- first_name: Andrea
full_name: Taschl-Erber, Andrea
last_name: Taschl-Erber
citation:
ama: 'Taschl-Erber A. Making “the Two” Into One Body: De- and Recategorization of
(Un-)Circumcision,. In: Annette W, ed. Reconsidering the Letter to the Ephesians
in Context . Wissenschaftliche Untersuchungen zum Neuen Testament. ; 2024.'
apa: 'Taschl-Erber, A. (2024). Making “the Two” Into One Body: De- and Recategorization
of (Un-)Circumcision,. In W. Annette (Ed.), Reconsidering the Letter to the
Ephesians in Context .'
bibtex: '@inbook{Taschl-Erber_2024, place={Tübingen}, series={Wissenschaftliche
Untersuchungen zum Neuen Testament}, title={Making “the Two” Into One Body: De-
and Recategorization of (Un-)Circumcision,}, booktitle={Reconsidering the Letter
to the Ephesians in Context }, author={Taschl-Erber, Andrea}, editor={Annette,
Weissenrieder}, year={2024}, collection={Wissenschaftliche Untersuchungen zum
Neuen Testament} }'
chicago: 'Taschl-Erber, Andrea. “Making ‘the Two’ Into One Body: De- and Recategorization
of (Un-)Circumcision,.” In Reconsidering the Letter to the Ephesians in Context
, edited by Weissenrieder Annette. Wissenschaftliche Untersuchungen Zum Neuen
Testament. Tübingen, 2024.'
ieee: 'A. Taschl-Erber, “Making ‘the Two’ Into One Body: De- and Recategorization
of (Un-)Circumcision,” in Reconsidering the Letter to the Ephesians in Context
, W. Annette, Ed. Tübingen, 2024.'
mla: 'Taschl-Erber, Andrea. “Making ‘the Two’ Into One Body: De- and Recategorization
of (Un-)Circumcision,.” Reconsidering the Letter to the Ephesians in Context
, edited by Weissenrieder Annette, 2024.'
short: 'A. Taschl-Erber, in: W. Annette (Ed.), Reconsidering the Letter to the Ephesians
in Context , Tübingen, 2024.'
date_created: 2023-12-18T16:40:32Z
date_updated: 2023-12-18T16:44:31Z
editor:
- first_name: Weissenrieder
full_name: Annette, Weissenrieder
last_name: Annette
language:
- iso: eng
place: Tübingen
publication: 'Reconsidering the Letter to the Ephesians in Context '
series_title: Wissenschaftliche Untersuchungen zum Neuen Testament
status: public
title: 'Making “the Two” Into One Body: De- and Recategorization of (Un-)Circumcision,'
type: book_chapter
user_id: '70423'
year: '2024'
...