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We present a numerical method to model the dynamics of inextensible biomembranes in a quasi-Newtonian incompressible flow, which better describes hemorheology in the small vasculature. We consider a level set model for the fluid-membrane…

General Mathematics · Mathematics 2023-05-30 Aymen Laadhari , Ahmad Deeb

We present an adaptive wavelet Galerkin method for transient heat conduction in heterogeneous composite materials. The approach combines multiresolution wavelet bases with an implicit time discretization to efficiently resolve sharp…

Numerical Analysis · Mathematics 2025-12-17 Taylan Demir , Atakan Koçyiğit

We analyze planar electromagnetic waves confined by a slab waveguide formed by two perfect electrical conductors. Remarkably, 2D Maxwell equations describing transverse electromagnetic modes in such waveguides are exactly mapped onto…

Classical Physics · Physics 2020-07-22 Daniel Leykam , Konstantin Y. Bliokh , Franco Nori

In this work, we consider wave propagation in materials characterized by nonlinear properties or damage. To accelerate the simulations of the resulting high-dimensional problems, we apply model order reduction methods. Depending on the…

Numerical Analysis · Mathematics 2026-03-24 Saddam Hijazi , Nikiema Fulgence , Hannah Burmester , Natalie Rauter , Carmen Gräßle

Hot-rolling is a metal forming process that produces a workpiece with a desired target cross-section from an input workpiece through a sequence of plastic deformations; each deformation is generated by a stand composed of opposing rolls…

Computational Engineering, Finance, and Science · Computer Science 2020-07-30 R. Omar Chavez-Garcia , Emian Furger , Samuele Kronauer , Christian Brianza , Marco Scarfò , Luca Diviani , Alessandro Giusti

A large mode area single-mode optical fibre based on leaky mode filtering was prepared by MCVD. The cladding structure discriminates the fundamental mode from the higher order ones. A preliminary version has 25-$\mu$m core diameter and 0.11…

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

We study the physics of a new type of subwavelength nanocavities. They are based on U-shaped metal-insulator-metal waveguides supporting the excitation of surface plasmon polaritons. The waveguides are simultaneously excited from both sides…

We study optical waveguides that include layers of materials and metamaterials with hyperbolic dispersion (HMM). We consider long-range regime at the dielectric-HMM interface in different waveguide geometries (single interface or symmetric…

Optics · Physics 2018-10-04 Viktoriia E. Babicheva

In this paper we present the work related to the parameters identification for Abrasive Waterjet Milling (AWJM) model that appears as an ill-posed inverse problem. The necessity of studying this problem comes from the industrial milling…

Analysis of PDEs · Mathematics 2016-05-30 Didier Auroux , Vladimir Groza

We investigate the propagation of electromagnetic waves in the core of a winding number one string defect with isotropic core in nematic liquid crystals. We numerically solve wave equations for the TE mode and show the existence of guided…

Condensed Matter · Physics 2007-05-23 Ajit M. Srivastava , Michael Stone

Localized surface plasmons (LSPs) are collective oscillations of free electrons in metal nanoparticles that confine electromagnetic waves into subwavelength regions, making them an ideal platform for light-matter coupling. To design and…

Optics · Physics 2024-10-23 Gangcheng Yuan , Jared H. Cole , Alison M. Funston

We experimentally show an all-optical multipolar decomposition of the lowest-order Eigenmodes of a single gold nanoprism using azimuthally and radially polarized cylindrical vector beams. By scanning the particle through these tailored…

Optics · Physics 2015-03-10 Thomas Bauer , Sergej Orlov , Gerd Leuchs , Peter Banzer

The properties of liquid crystals can be modelled using an order parameter which describes the variability of the local orientation of rod-like molecules. Defects in the director field can arise due to external factors such as applied…

Numerical Analysis · Mathematics 2019-10-08 Craig S. MacDonald , John A. Mackenzie , Alison Ramage

Atmospheric interaction with light has been an area of fascination for many researchers over the last century. Environmental conditions, such as temperature and wind speed, heavily influence the complex and rapidly varying optical…

End-to-end optimization, which simultaneously optimizes optics and algorithms, has emerged as a powerful data-driven method for computational imaging system design. This method achieves joint optimization through backpropagation by…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Chi-Jui Ho , Yash Belhe , Steve Rotenberg , Ravi Ramamoorthi , Tzu-Mao Li , Nicholas Antipa

Unintended electromagnetic emissions, called EM emanations, can be exploited to recover sensitive information, posing security risks. Metal shielding, used by defense organizations to prevent data leakage, is costly and impractical for…

Cryptography and Security · Computer Science 2025-06-10 Md Faizul Bari , Meghna Roy Chowdhury , Shreyas Sen

Image restoration is rather challenging in adverse weather conditions, especially when multiple degradations occur simultaneously. Blind image decomposition was proposed to tackle this issue, however, its effectiveness heavily relies on the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Yufeng Yue , Meng Yu , Luojie Yang , Yi Yang

A crucial challenge to the scaling up of linear optical interferometers is the presence of defective optical components resulting from inevitable imperfections in fabrication and packaging. This work presents a method for circumventing such…

Quantum Physics · Physics 2019-12-19 Ish Dhand

We consider finite element methods of multiscale type to approximate solutions for two-dimensional symmetric elliptic partial differential equations with heterogeneous $L^\infty$ coefficients. The methods are of Galerkin type and follow the…

Numerical Analysis · Mathematics 2025-05-20 Alexandre L. Madureira , Marcus Sarkis