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The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational…

Other Condensed Matter · Physics 2017-03-13 Sophia R. Sklan , Baowen Li

In our recent works, we used a nearest-neighbor broken bond (NNBB) model to fit the surface energy of Pt, Pd, and Au surfaces [Adv. Theory Simul. 1800127 (2018)]. It was verified that this model could describe the surface energies of above…

Materials Science · Physics 2018-11-26 Xiao-Yan Li , Beien Zhu , Yi Gao

Recently, much research concerning the combination of nano-scale waveguides with nano-crystals and other nano-particles has been reported, because of possible applications in the field of quantum information and communication. The most…

A novel strategy is introduced in order to include variations of the nonlinearity into the nonlinear schrodinger Equation. This technique, which relies on renormalization, is in particular well adapted to nanostructured optical systems…

Optics · Physics 2015-06-09 P. Colman

Across scientific domains, a fundamental challenge is to characterize and compute the mappings from underlying physical processes to observed signals and measurements. While nonlinear neural networks have achieved considerable success, they…

Machine Learning · Computer Science 2025-08-11 Alexander DeLise , Kyle Loh , Krish Patel , Meredith Teague , Andrea Arnold , Matthias Chung

This dissertation presents a new coupled electro-mechanical model that is an improvement on the classical parallel-plate approximation. The model employs a hyperbolic function to account for the beam deformed shape and electrostatic field.…

Applied Physics · Physics 2017-08-24 Xi Luo

Deep-learning-based nonlinear system identification has shown the ability to produce reliable and highly accurate models in practice. However, these black-box models lack physical interpretability, and a considerable part of the learning…

Machine Learning · Computer Science 2025-07-15 Bendegúz M. Györök , Jan H. Hoekstra , Johan Kon , Tamás Péni , Maarten Schoukens , Roland Tóth

In this article, a previously published amplifier-less potentiostat architecture is further examined. Starting with a linearized model, the impact of the most important parameters is studied taking in account the electrodes-solution…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Andrea Sannino , David-Peter Wiens , Maurits Ortmanns , José I. Artigas , Aránzazu Otín

We introduce a new numerical strategy to solve a class of oscillatory transport PDE models which is able to captureaccurately the solutions without numerically resolving the high frequency oscillations {\em in both space and time}.Such PDE…

Numerical Analysis · Mathematics 2016-06-01 Nicolas Crouseilles , Shi Jin , Mohammed Lemou

This paper presents a shape-theoretic framework for dynamical analysis of nonlinear dynamical systems which appear frequently in several video-based inference tasks. Traditional approaches to dynamical modeling have included linear and…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Vinay Venkataraman , Pavan Turaga

Boson Sampling is a task that is conjectured to be computationally hard for a classical computer, but which can be efficiently solved by linear-optical interferometers with Fock state inputs. Significant advances have been reported in the…

Quantum Physics · Physics 2023-04-14 Nicolò Spagnolo , Daniel J. Brod , Ernesto F. Galvão , Fabio Sciarrino

We summarize recent progress on the theory and applications of structural identifiability of compartmental models. On the applications side, we review identifiability analyses undertaken recently for models arising in epidemiology,…

Methodology · Statistics 2025-07-08 Nicolette Meshkat , Anne Shiu

The bond graph approach to modelling biochemical networks is extended to allow hierarchical construction of complex models from simpler components. This is made possible by representing the simpler components as thermodynamically open…

Molecular Networks · Quantitative Biology 2018-08-14 Peter J. Gawthrop , Joseph Cursons , Edmund J. Crampin

Existing works on building a soliton transmission system only encode information using the imaginary part of the eigenvalue, which fails to make full use of the signal degree-of-freedoms. Motivated by this observation, we make the first…

Information Theory · Computer Science 2017-02-22 Qun Zhang , Terence H. Chan

We show that nonlinear imaging is possible in periodic waveguide configurations provided that we use two different segments of nonlinear media with opposite signs of the Kerr nonlinearity with, in general, no other restriction about their…

Optics · Physics 2017-03-08 Nikolaos K. Efremidis , Mihalis Mparkas

We present in this paper the motivation and theory of nonlinear spectral representations, based on convex regularizing functionals. Some comparisons and analogies are drawn to the fields of signal processing, harmonic analysis and sparse…

Spectral Theory · Mathematics 2015-10-06 Guy Gilboa , Michael Moeller , Martin Burger

Nonlinear spectroscopy is widely used to study the transient dynamics of molecules under strong light-matter coupling, though it remains unclear to what extent uncoupled intracavity molecules obscure signals from the strongly-coupled…

Chemical Physics · Physics 2026-04-08 Alexander M. McKillop , Marissa L. Weichman

While in most cases the absolute accuracy, resolution, and noise floor are the only relevant specifications for the dynamic range of a photodetector, there are experiments for which the linearity plays a more important role than the former…

Instrumentation and Detectors · Physics 2014-06-11 Thomas Kauten , Benedikt Pressl , Thomas Kaufmann , Gregor Weihs

Coherent quantum optics, where the interaction of a photon with an emitter does not scramble phase coherence, lies at the heart of many quantum optical effects and emerging technologies. Solid-state emitters coupled to nanophotonic…

Nonlinear interactions between single quantum particles are at the heart of any quantum information system, including analog quantum simulation and fault-tolerant quantum computing. This remains a particularly difficult problem for photonic…

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