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In our recent work [AIP Adv. 11, 095006], we presented an efficient numerical method to compute dispersions and spatial mode profiles of spin waves propagating in waveguides with translationally invariant equilibrium magnetization. Using a…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 Lukas Körber , Alexander Hempel , Andreas Otto , Rodolfo Gallardo , Yves Henry , Jürgen Lindner , Attila Kákay

Efficient numerical methods are required for the design of optimised devices. In magnonics, the primary computational tool is micromagnetic simulations, which solve the Landau-Lifshitz equation discretised in time and space. However, their…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Wojciech Śmigaj , Krzysztof Sobucki , Paweł Gruszecki , Maciej Krawczyk

We present a finite-difference micromagnetic approach for determining the normal modes of spin-waves propagating in extended magnetic films and strips, which is based on the linearized Landau-Lifshitz equation and uses the dynamic matrix…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Yves Henry , Olga Gladii , Matthieu Bailleul

Modern problems in magnetization dynamics require more and more the numerical determination of the spin-wave spectra and -dispersion in magnetic systems where analytic theories are not yet available. Micromagnetic simulations can be used to…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Lukas Körber , Attila Kákay

Semi-discrete and fully discrete mixed finite element methods are considered for Maxwell-model-based problems of wave propagation in linear viscoelastic solid. This mixed finite element framework allows the use of a large class of existing…

Numerical Analysis · Mathematics 2021-06-16 Hao Yuan , Xiaoping Xie

This paper is devoted to a numerical analysis of a fractional viscoelastic wave propagation model that generalizes the fractional Maxwell model and the fractional Zener model. First, we convert the model problem into a velocity type…

Numerical Analysis · Mathematics 2025-07-17 Hao Yuan , Xiaoping Xie

The charge and spin diffusion equations taking into account spin-flip and spin-transfer torque were numerically solved using a finite element method in complex non-collinear geometry. This approach was used to study the spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 N. Strelkov , A. Vedyayev , D. Gusakova , L. D. Buda-Prejbeanu , M. Chshiev , S. Amara , A. Vaysset , B. Dieny

We propose an efficient finite-element analysis of the vector wave equation in a class of relatively general curved polygons. The proposed method is suitable for an accurate and efficient calculation of the propagation constants of…

Computational Physics · Physics 2016-03-15 Ehsan Khodapanah

We propose an alternative micromagnetic approach to determine the spin wave dispersion relations in magnonic structures. Characteristic of the method is that a limited area of the system is continuously excited with a spatially uniform…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Ben Van de Wiele , Federico Montoncello

We discuss analytically and numerically the propagation and energy transmission of electromagnetic waves caused by the coupling of surface plasmon polaritons (SPPs) between two spatially separated layers of 2D materials, such as graphene,…

Computational Physics · Physics 2019-05-01 Jung Heon Song , Matthias Maier , Mitchell Luskin

A model-independent approach capable of extracting spin-wave frequencies and displacement vectors from ensembles of supercell spin configurations is presented. The method is appropriate for those systems whose spin-dynamical motion is well…

Other Condensed Matter · Physics 2007-05-23 Andrew L. Goodwin , Martin T. Dove , Matthew G. Tucker , David A. Keen

We introduce an efficient finite-element approach for large-scale real-space pseudopotential density functional theory (DFT) calculations incorporating noncollinear magnetism and spin-orbit coupling. The approach, implemented within the…

Materials Science · Physics 2025-06-11 Nikhil Kodali , Phani Motamarri

We analyze and develop numerical methods for time-harmonic wave scattering in metallic waveguide structures of infinite extent. We show that radiation boundary conditions formulated via projectors onto outgoing modes determine the…

Numerical Analysis · Mathematics 2025-09-26 Tristan Goodwill , Shidong Jiang , Manas Rachh , Kosuke Sugita

We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic…

Computational Physics · Physics 2007-05-23 S. Rahman , H. P. Langtangen , C. H. W. Barnes

Numerical modeling of wave propagation in heterogeneous media is important in many applications. Due to the complex nature, direct numerical simulations on the fine grid are prohibitively expensive. It is therefore important to develop…

Numerical Analysis · Mathematics 2016-11-26 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung

The analysis of wave propagation problems in linear damped media must take into account both propagation features and attenuation process. To perform accurate numerical investigations by the finite differences or finite element method, one…

Classical Physics · Physics 2009-01-26 Jean-François Semblat , J. J. Brioist

In this paper we develop a finite element method for acoustic wave propagation in Drude-type metamaterials. The governing equation is written as a symmetrizable hyperbolic system with auxiliary variables. The standard mixed finite elements…

Numerical Analysis · Mathematics 2020-07-13 Jeonghun J. Lee

We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped finite element methods and symmetric interior penalty…

Numerical Analysis · Mathematics 2019-01-29 S. Geevers , W. A. Mulder , J. J. W. van der Vegt

We extend the Finite-Difference Time-Domain method to treat dispersive magnetic media by incorporating magneto-optical effects through a frequency-dependent permittivity tensor. For benchmarking our method, we consider the light scattering…

This study presents a finite difference method (FDM) to model the electromagnetic field propagation in eccentric coaxial waveguides filled with lossy uniaxially anisotropic media. The formulation utilizes conformal transformation to map the…

Computational Engineering, Finance, and Science · Computer Science 2025-01-24 Raul O. Ribeiro , Maria A. Martinez , Guilherme S. Rosa , Rafael A. Penchel
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