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相关论文: A Quasianalytical Time Domain Mie Solution for Sca…

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Time-domain wave scattering in an unbounded two-dimensional acoustic medium by sound-hard scatterers is considered. Two canonical geometries, namely a split-ring resonator (SRR) and an array of cylinders, are used to highlight the theory,…

数学物理 · 物理学 2025-03-28 Ben Wilks , Michael H. Meylan , Fabien Montiel , Sarah Wakes

An accurate and fast method is presented for scattering of electromagnetic waves from an array of time-modulated graphene ribbons. We derive a time-domain integral equation for induced surface currents under subwavelength approximation.…

光学 · 物理学 2023-06-28 Mahdi Rahmanzadeh , Behzad Rejaei , Amin Khavasi

We study solution techniques for an evolution equation involving second order derivative in time and the spectral fractional powers, of order $s \in (0,1)$, of symmetric, coercive, linear, elliptic, second-order operators in bounded domains…

数值分析 · 数学 2018-06-18 Lehel Banjai , Enrique Otarola

A method is proposed for extracting ionization amplitudes from the solution of the time-dependent Schr\"odinger equation (TDSE) describing a system in a time-dependent external field. The method is a hybrid of two earlier developed methods,…

原子物理 · 物理学 2013-10-30 Vladislav V. Serov , Tatyana A. Sergeeva , Sergue I. Vinitsky

Controlling waves by actively changing the material parameters of a medium enables the development of new acoustic and electrical devices. Modulating the material breaks classical properties like reciprocity and the conservation of energy,…

数值分析 · 数学 2026-02-09 Jörg Nick

Consider the scattering of a time-harmonic electromagnetic plane wave by an open cavity which is embedded in a perfectly electrically conducting infinite ground plane. This paper concerns the numerical solutions of the open cavity…

数值分析 · 数学 2020-04-24 Xiaokai Yuan , Gang Bao , Peijun Li

The inverse-scattering problem of an inhomogeneous material has been of interest for many years, and was generally addressed with various optimization techniques. In this paper, we suggest an optimization-free method for solving the…

应用物理 · 物理学 2023-01-20 Ohad Silbiger , Yakir Hadad

Nonlinear filtering with correlated noise leads to a Duncan-Mortensen-Zakai (DMZ) equation in the form of a stochastic partial differential equation (SPDE). Unlike the independent noise case, the presence of correlation prevents the…

数值分析 · 数学 2026-05-26 Yuhua Meng , Stephen S. -T. Yau , Zhiwen Zhang

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

数值分析 · 数学 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

In various subdisciplines of optics and photonics, Mie theory has been serving as a fundamental language and play indispensable roles widely. Conventional studies related to Mie scattering largely focus on local properties such as…

光学 · 物理学 2020-06-12 Weijin Chen , Qingdong Yang , Yuntian Chen , Wei Liu

In this paper, we consider an inverse electromagnetic medium scattering problem of reconstructing unknown objects from time-dependent boundary measurements. A novel time-domain direct sampling method is developed for determining the…

数值分析 · 数学 2024-10-11 Chen Geng , Minghui Song , Xianchao Wang , Yuliang Wang

We present a high-order accurate boundary-based solver for three-dimensional (3D) frequency-domain scattering from a doubly-periodic grating of smooth axisymmetric sound-hard or transmission obstacles. We build the one-obstacle solution…

数值分析 · 数学 2016-09-21 Yuxiang Liu , Alex H. Barnett

We provide a theoretical description of light scattering by a spherical particle whose permittivity is modulated in time at twice the frequency of the incident light. Such a particle acts as a finite-sized photonic time crystal and, despite…

We develop a structure-preserving computational framework for acoustic wave scattering by moving objects, comprising a new PML-domain-embedding model and a compatible numerical approximation. The model couples a perfectly matched layer…

数值分析 · 数学 2026-05-28 Xuelong Gu , Qi Wang

Light scattering by spherical-shaped particles of sizes comparable to the wavelength is foundational in many areas of science, from chemistry to atmospheric science, photonics and nanotechnology. With the new capabilities offered by machine…

We present a pseudo-spectral method for solving the three-dimensional Boussinesq equations in unbounded cylindrical domains, specifically tailored for rotating, stably stratified flows subject to strong azimuthal shear. To effectively…

流体动力学 · 物理学 2026-03-10 Jinge Wang , Philip S. Marcus

We present a time-domain iteration scheme for solving the Dynamical Mean-Field Theory (DMFT) self-consistent equations using retarded Green's functions in real time. Unlike conventional DMFT approaches that operate in imaginary time or…

强关联电子 · 物理学 2026-01-28 Chakradhar Rangi , Aadi Singh , Ka-Ming Tam

We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a cylindrical obstacle and fields invariant along the axis of the…

偏微分方程分析 · 数学 2015-09-30 Martin Costabel , Eric Darrigrand , Hamdi Sakly

We solve acoustic scattering problems by means of the isogeometric boundary integral equation method. In order to avoid spurious modes, we apply the combined field integral equations for either sound-hard scatterers or sound-soft…

数值分析 · 数学 2023-06-21 Jürgen Dölz , Helmut Harbrecht , Michael Multerer

A system of segregated boundary-domain integral equations (BDIEs) is obtained from the Dirichlet problem for the diffusion equation in non-homogeneous media defined on an exterior two-dimensional domain. We use a parametrix different from…

偏微分方程分析 · 数学 2020-11-23 Carlos Fresneda-Portillo , Zenebe W. Woldemicheal