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The rapid evolution of next-generation communications and the Internet of Things (IoT) has catalyzed an urgent demand for governing expansive spatial environments as functional electromagnetic (EM) entities. However, deterministically…

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded in the middle layer. Such geometries are typical of…

Numerical Analysis · Mathematics 2015-06-22 Jun Lai , Motoki Kobayashi , Leslie Greengard

This paper is concerned with three-dimensional acoustic wave scattering in two-layer media, where the two homogeneous layers are separated by a locally perturbed plane featuring an axially symmetric perturbation. A fast novel boundary…

Numerical Analysis · Mathematics 2024-12-17 Hangya Wang , Wangtao Lu

Multi-task learning (MTL) has become an essential machine learning tool for addressing multiple learning tasks simultaneously and has been effectively applied across fields such as healthcare, marketing, and biomedical research. However, to…

Machine Learning · Statistics 2025-06-02 Yang Sui , Qi Xu , Yang Bai , Annie Qu

The domain integral equation method with its FFT-based matrix-vector products is a viable alternative to local methods in free-space scattering problems. However, it often suffers from the extremely slow convergence of iterative methods,…

Numerical Analysis · Mathematics 2015-03-19 Grigorios P. Zouros , Neil V. Budko

Spread-spectrum signals are increasingly adopted in fields including communications, testing of electronic systems, Electro-Magnetic Compatibility (EMC) enhancement, ultrasonic non-destructive testing. This paper considers the synthesis of…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Sergio Callegari

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

Quantum Physics · Physics 2020-09-24 Farhang Loran , Ali Mostafazadeh

The multi-layer multi-configuration time-dependent Hartree method (ML-MCTDH) is a highly efficient scheme for studying the dynamics of high-dimensional quantum systems. Its use is greatly facilitated if the Hamiltonian of the system…

Chemical Physics · Physics 2014-01-09 Frank Otto

This paper considers an integrated sensing and communication system, where some radar targets also serve as communication scatterers. A location domain channel modeling method is proposed based on the position of targets and scatterers in…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Wenkang Xu , Yongbo Xiao , An Liu , Ming Lei , Minjian Zhao

This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the three-dimensional Navier equation. An exact transparent boundary…

Numerical Analysis · Mathematics 2016-11-18 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng

We propose a novel method for the efficient and accurate iterative solution of frequency domain integral equations (IEs) that are used for large/multi-scale electromagnetic scattering problems. The proposed method uses a novel…

Numerical Analysis · Mathematics 2025-12-22 Enes Koç , Mert Kalfa , Secil E. Dogan , Vakur B. Ertürk

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

Modern semiconductor detectors allow for charged particle tracking with ever increasing position resolution. Due to the reduction of the spatial hit uncertainties, multiple Coulomb scattering in the detector layers becomes the dominant…

Instrumentation and Detectors · Physics 2016-12-20 Niklaus Berger , Moritz Kiehn , Alexandr Kozlinskiy , Andre Schöning

We develop a fundamental transfer-matrix formulation of the scattering of electromagnetic (EM) waves that incorporates the contribution of the evanescent waves and applies to general stationary linear media which need not be isotropic,…

Optics · Physics 2023-08-01 Farhang Loran , Ali Mostafazadeh

Electromagnetic scattering in moving structures is a fundamental topic in physics and engineering. Yet, no general numerical solution to related problems has been reported to date. We introduce here a generalized FDTD scheme to remedy this…

Computational Physics · Physics 2023-07-19 Zoé-Lise Deck-Léger , Amir Bahrami , Zhiyu Li , Christophe Caloz

A symmetric boundary integral formulation for the transient scattering of acoustic waves off homogeneous and isotropic elastic obstacles is analyzed. Both the acoustic scattered field and the elastodynamic excited field are represented…

Numerical Analysis · Mathematics 2025-08-19 Tonatiuh Sánchez-Vizuet

The multiconfiguration time-dependent Hartree-Fock (MCTDHF) method is formulated for treating the coupled electronic and nuclear dynamics of diatomic molecules without the Born- Oppenheimer approximation. The method treats the full…

Computational Physics · Physics 2015-05-27 Daniel J. Haxton , Keith V. Lawler , C. William McCurdy

In this paper, we present a fast boundary integral method accelerated by the fast multipole method (FMM) for acoustic wave scattering governed by the scalar Helmholtz equation in multi-layered two-dimensional media. Multiple scatterers are…

Numerical Analysis · Mathematics 2025-11-18 Linfeng Xia , Heng Yuan , Bo Wang , Wei Cai

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

Optics · Physics 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

The proposed numerical method, "FLAME-slab," solves electromagnetic wave scattering problems for aperiodic slab structures by exploiting short-range regularities in these structures. The computational procedure involves special difference…

Optics · Physics 2017-12-19 Shampy Mansha , Igor Tsukerman , Y. D. Chong