Results 51 to 60 of about 2,837 (210)

Inverse Design of Mirror‐Symmetric Disordered Systems for Broadband Perfect Transmission

Laser &Photonics Reviews, EarlyView.
This work introduces an inverse design approach to achieve broadband perfect wave transmission in mirror‐symmetric disordered media. Leveraging symmetry simplifies optimization and enables control of multiple reflectionless states. Experiments in microwave waveguides confirm the design of exceptional points, bandpass filters, and broadband quasi ...
Zhazira Zhumabay, Clément Ferise, Vincent Pagneux, Stefan Rotter, Matthieu Davy   +4 more
wiley   +1 more source

Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]

Geoscientific Model Development
Reconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan, S. Ghelichkhan, A. Gibson, D. R. Davies, S. C. Kramer, D. A. Ham   +5 more
doaj   +1 more source

Reinforcement Learning Enabled Nanophotonic Devices

Laser &Photonics Reviews, EarlyView.
A reinforcement learning algorithm is used to design photonic devices. The method creates metagratings and grating couplers that efficiently control both the direction and polarization of light. Further, a reinforcement learning approach is used to design in‐plane integrated photonic devices. This approach paves the way for advanced photonic components
Zi Wang, Junyeob Song, Minsuk Lee, Wenqi Zhu, Amit Agrawal   +4 more
wiley   +1 more source

Photonic Systolic Array for All‐Optical Matrix–Matrix Multiplication

Laser &Photonics Reviews, EarlyView.
A photonic systolic array is introduced, offering extreme parallelism in matrix‐matrix multiplication based on the synchronized movement of optical pulses along a crossbar array. Optical pulses traveling in perpendicular directions meet at freeform‐designed multiply‐accumulate units, each tailored to generate two signals whose intensity difference ...
Jungmin Kim, Qingyi Zhou, Zongfu Yu
wiley   +1 more source

Structure of the Enveloping Algebras

Acta Polytechnica, 2007
The adjoint representations of several small dimensional Lie algebras  on their universal enveloping algebras  are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements.
Č. Burdík, O. Navrátil, S. Pošta
doaj  

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

Adjoint Representations of the Symmetric Group

, 2018
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules.
Can, Mahir Bilen, Jones, Miles
openaire   +2 more sources

Investigating Tuberculosis Dynamics Under Various Control Strategies: A Comprehensive Analysis Using Real Statistical Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat, Mahmoud H. DarAssi, Irfan Ahmad, Muhammad Altaf Khan, Reem Algethamie   +4 more
wiley   +1 more source

On different approaches to IRF lattice models. Part II

Journal of High Energy Physics
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin, Doron Gepner, J. Ramos Cabezas, Boris Runov   +3 more
doaj   +1 more source

When ancient numerical demons meet physics-informed machine learning: adjoint-based gradients for implicit differentiable modeling [PDF]

Hydrology and Earth System Sciences
Recent advances in differentiable modeling, a genre of physics-informed machine learning that trains neural networks (NNs) together with process-based equations, have shown promise in enhancing hydrological models' accuracy, interpretability, and ...
Y. Song, W. J. M. Knoben, M. P. Clark, D. Feng, D. Feng, K. Lawson, K. Sawadekar, C. Shen   +7 more
doaj   +1 more source