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The millimeter wave is a promising technique for the next generation of mobile communication. The large antenna array is able to provide sufficient precoding gain to overcome the high pathloss at millimeter wave band. However, the accurate…

Signal Processing · Electrical Eng. & Systems 2018-05-31 Wei Zhang , Shu-Hung Leung , Taejoon Kim

Propagation of an ultrashort pulse of light through strongly scattering media generates an intricate spatio-spectral speckle that can be described by means of the multi-spectral transmission matrix (MSTM). In conjunction with a spatial…

In geophysics, wave propagation in elastic media is a crucial subject. In this context, seismology has made significant progress as a result of numerous advances, among these stands out the advancement of numerical methods such as the…

Physics Education · Physics 2021-08-02 Gabriela Landinez , Santiago Rueda , Fabio D. Lora-Clavijo

A k-space method for nonlinear wave propagation in absorptive media is presented. The Westervelt equation is first transferred into k-space via Fourier transformation, and is solved by a modified wave-vector time-domain scheme [Mast et al.,…

Mathematical Physics · Physics 2014-01-03 Yun Jing , Greg. T. Clement

In this work, a method for the simulation of guided wave propagation in solids defined by implicit surfaces is presented. The method employs structured grids of spectral elements in combination to a fictitious domain approach to represent…

Computational Engineering, Finance, and Science · Computer Science 2022-07-08 Sergio Nicoli , Konstantinos Agathos , Eleni Chatzi

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Scattering hinders the passage of light through random media and consequently limits the usefulness of optical techniques for sensing and imaging. Thus, methods for increasing the transmission of light through such random media are of…

Optics · Physics 2014-06-23 Curtis Jin , Raj Rao Nadakuditi , Eric Michielssen , Stephen Rand

The aim of the study is to demonstrate that some methods are more relevant for implementing the Real-Time Nearfield Acoustic Holography than others. First by focusing on the forward propagation problem, different approaches are compared to…

Classical Physics · Physics 2008-10-13 Jean-Hugh Thomas , Vincent Grulier , Sébastien Paillasseur , Jean-Claude Pascal

In this paper, we present a new multiscale method which is capable of coupling atomistic and continuum domains for high frequency wave propagation analysis. The problem of non-physical wave reflection, which occurs due to the change in…

Computational Physics · Physics 2014-08-08 Amit K. Patra , S. Gopalakrishnan , Ranjan Ganguli

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 develop a method based on tensor networks to create localized single particle excitations on top of strongly-correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing…

Strongly Correlated Electrons · Physics 2021-02-03 Maarten Van Damme , Laurens Vanderstraeten , Jacopo De Nardis , Jutho Haegeman , Frank Verstraete

The parareal algorithm is a powerful parallel-in-time integration method that accelerates the numerical solution of evolution equations by iteratively combining a fine propagator and a coarse propagator. Although the convergence of the…

Numerical Analysis · Mathematics 2026-05-28 Georgios Akrivis , Qingle Lin , Zhi Zhou

Recovering the transmission matrix of a disordered medium is a challenging problem in disordered photonics. Usually, its reconstruction relies on a complex inversion that aims at connecting a fully-controlled input to the deterministic…

This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subproblems computed with an implicit time discretization. Based…

Numerical Analysis · Mathematics 2024-03-11 Dietmar Gallistl , Roland Maier

In this note we present a new propagator for a particle in discrete space under the influence of a time-dependent field. With this result we are able to control the shape of caustics emerging from a point-like source, as the explicit form…

Quantum Physics · Physics 2013-03-15 Emerson Sadurni

A simple method is proposed for use in a scenario involving a single-antenna source node communicating with a destination node that is equipped with two antennas via multiple single-antenna relay nodes, where each relay is subject to an…

Information Theory · Computer Science 2024-10-30 Elad Domanovitz , Uri Erez

Traditional free vibration-based forward models generate theoretical dispersion curves under the assumption of planar waves, neglecting the influence of the actual source-receiver configuration. While 2D/3D numerical wavefield modeling…

Geophysics · Physics 2024-02-02 Mrinal Bhaumik , Tarun Naskar

Wave propagation in one-dimensional heterogeneous bistable media is studied using the Schl\"ogl model as a representative example. Starting from the analytically known traveling wave solution for the homogeneous medium, infinitely extended,…

Pattern Formation and Solitons · Physics 2013-12-19 Jakob Löber , Markus Bär , Harald Engel

We present a novel approach for simulating acoustic (pressure) wave propagation across different media separated by a diffuse interface through the use of a weak compressibility formulation. Our method builds on our previous work on an…

Numerical Analysis · Mathematics 2025-11-11 Abbas Ballout , Oscar A. Marino , Gerasimos Ntoukas , Gonzalo Rubio , Esteban Ferrer

Energy transmission over long distances by waves is a key mechanism for many natural processes. This possibility arises when an inhomogeneous medium is arranged in such a manner that it enables a certain type of wave to propagate with…

Fluid Dynamics · Physics 2026-05-05 Semyon Churilov