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We present a data-driven framework for the multiscale modeling of anisotropic finite strain elasticity based on physics-augmented neural networks (PANNs). Our approach allows the efficient simulation of materials with complex underlying…

Computational Engineering, Finance, and Science · Computer Science 2024-10-07 Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

We extend thresholding methods for numerical realization of mean curvature flow on obstacles to the anisotropic setting where interfacial energy depends on the orientation of the interface. This type of schemes treats the interface…

Numerical Analysis · Mathematics 2021-06-09 Siddharth Gavhale , Karel Svadlenka

We analyze the use of layered superconductors as anisotropic metamaterials. Layered superconductors can have a negative refraction index in a wide frequency range for arbitrary incident angles. Indeed, low-Tc (s-wave) superconductors allow…

Superconductivity · Physics 2013-03-19 A. L. Rakhmanov , V. A. Yampol'skii , J. A. Fan , Federico Capasso , Franco Nori

Fourier optics, the principle of using Fourier Transformation to understand the functionalities of optical elements, lies at the heart of modern optics, and has been widely applied to optical information processing, imaging, holography etc.…

In a recent Letter [Phys. Rev. Lett. 103, 097403 (2009)], we outlined a computational method to calculate the optical properties of structures with a spatially nonlocal dielectric function. In this Article, we detail the full method, and…

Optics · Physics 2013-05-29 Jeffrey M. McMahon , Stephen K. Gray , George C. Schatz

Differential measurements of particle collisions or decays can provide stringent constraints on physics beyond the Standard Model of particle physics. In particular, the distributions of the kinematical and angular variables that…

Data Analysis, Statistics and Probability · Physics 2016-02-12 Benoit Viaud

In this work, we present tensor-based linear and nonlinear models for hyperspectral data classification and analysis. By exploiting principles of tensor algebra, we introduce new classification architectures, the weight parameters of which…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 Konstantinos Makantasis , Anastasios Doulamis , Nikolaos Doulamis , Antonis Nikitakis

Amorphous solids remain outside of the classification and systematic discovery of new topological materials, partially due to the lack of realistic models that are analytically tractable. Here we introduce the topological Weaire-Thorpe…

Disordered Systems and Neural Networks · Physics 2020-11-20 Quentin Marsal , Daniel Varjas , Adolfo G. Grushin

This paper analyzes the non-trivial influence of the material anisotropy on the structural behavior of an anisotropic multilayer planar beam. Indeed, analytical results available in literature are limited to homogeneous beams and several…

The decoupling of multivariate functions is a powerful modeling paradigm for learning multivariate input-output relations from data. For the single-layer case, established CPD-based methods are available, but the multi-layer case remained…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Joppe De Jonghe , Konstantin Usevich , Philippe Dreesen , Mariya Ishteva

A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

Optics · Physics 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

Metasurfaces -- ultrathin structures composed of subwavelength optical elements -- have revolutionized light manipulation by enabling precise control over electromagnetic waves' amplitude, phase, polarization, and spectral properties.…

Optics · Physics 2024-11-15 Charles Roques-Carmes , Kai Wang , Yuanmu Yang , Arka Majumdar , Zin Lin

In the fast growing two-dimensional (2D) materials family, anisotropic 2D materials, with their intrinsic in-plane anisotropy, exhibit a great potential in optoelectronics. One such typical material is black phosphorus (BP), with a…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Chong Wang , Guowei Zhang , Shenyang Huang , Yuangang Xie , Hugen Yan

2D materials offer a large variety of optical properties, from transparency to plasmonic excitation. They can be structured and combined to form heterostructures that expand the realm of possibility to manipulate light interactions at the…

Optics · Physics 2023-09-27 Bruno Majérus , Emerick Guillaume , Pascal Kockaert , Luc Henrard

Layered materials span a very broad range of solids ranging from van der Waals materials to highly complex crystal structures such as clays. They are commonly believed to have highly anisotropic properties, which is essentially attributed…

Materials Science · Physics 2020-02-17 Jiawei Zhang , Lirong Song , Mattia Sist , Kasper Tolborg , Bo Brummerstedt Iversen

Ellipsometry is a powerful and well-established optical technique used in the characterisation of materials. It works by combining the components of elliptically polarized light in order to draw information about the optical system. We…

Optics · Physics 2018-03-15 Manoel P. Araújo , Stefano De Leo , Gabriel G. Maia

Tensor decomposition methods are popular tools for learning latent variables given only lower-order moments of the data. However, the standard assumption is that we have sufficient data to estimate these moments to high accuracy. In this…

Machine Learning · Statistics 2019-03-13 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

Acoustic fields scattered by poroelastic materials contain key information about the materials' pore structure and elastic properties. Therefore, such materials are often characterised with inverse methods that use acoustic measurements.…

Computational Physics · Physics 2019-05-22 Matti Niskanen , Olivier Dazel , Jean-Philippe Groby , Aroune Duclos , Timo Lähivaara

The increasing complexity of advanced materials with anisotropic thermal properties necessitates more generic and efficient methods to determine three-dimensional (3D) anisotropic thermal conductivity tensors with up to six independent…

Materials Science · Physics 2025-03-18 Dihui Wang , Heng Ban , Puqing Jiang

Quantum sensing exploits quantum phenomena to enhance the detection and estimation of classical parameters of physical systems and biological entities, particularly so as to overcome the inefficiencies of its classical counterparts. A…

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