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In this letter, a fast Fourier transform (FFT)-enhanced low-complexity super-resolution sensing algorithm for near-field source localization with both angle and range estimation is proposed. Most traditional near-field source localization…

信号处理 · 电气工程与系统科学 2024-11-26 Yuxiao Wu , Huizhi Wang , Yong Zeng

Microwave imaging is commonly based on the solution of linearized inverse scattering problems by matched filtering algorithms, i.e., by applying the adjoint of the forward scattering operator to the observation data. A more rigorous…

图像与视频处理 · 电气工程与系统科学 2024-12-23 Matthias M. Saurer , Han Na , Marius Brinkmann , Thomas F. Eibert

We discuss a time-harmonic inverse scattering problem for the Helmholtz equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded homogeneous background medium, and we develop a monotonicity…

偏微分方程分析 · 数学 2021-03-01 Roland Griesmaier , Bastian Harrach

We propose a multi-frequency algorithm for imaging the trajectory of a moving point source from one and sparse far-field observation directions in the frequency domain. The starting and terminal time points of the moving source are both…

数值分析 · 数学 2025-08-25 Hongxia Guo , Guanghui Hu , Guanqiu Ma

We propose a sampling type method to image scatterer in an electromagnetic waveguide. The waveguide terminates at one end and the measurements are on the other end and in the far field. The imaging function is based on integrating the…

数值分析 · 数学 2020-12-10 Shixu Meng

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…

经典物理 · 物理学 2008-10-13 Jean-Hugh Thomas , Vincent Grulier , Sébastien Paillasseur , Jean-Claude Pascal

Solving the wave equation is essential to seismic imaging and inversion. The numerical solution of the Helmholtz equation, fundamental to this process, often encounters significant computational and memory challenges. We propose an…

地球物理 · 物理学 2025-04-01 Xinquan Huang , Tariq Alkhalifah

In this paper, we consider the inverse problem of determining the location and the shape of a sound-soft obstacle from the modulus of the far-field data for a single incident plane wave. By adding a reference ball artificially to the…

数值分析 · 数学 2018-04-17 Heping Dong , Deyue Zhang , Yukun Guo

Inverse design of optical components based on adjoint sensitivity analysis has the potential to address the most challenging photonic engineering problems. However existing inverse design tools based on finite-difference-time-domain (FDTD)…

光学 · 物理学 2024-05-20 Dodd Gray , Gavin N. West , Rajeev J. Ram

In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary. We will assume that the corresponding far-field pattern is known/measured and we consider two inverse problems.…

偏微分方程分析 · 数学 2024-04-04 Victor Hughes , Isaac Harris , Heejin Lee

This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location and shape of anisotropic scatterers from far field data (at a fixed frequency). We study the orthogonality sampling method which…

偏微分方程分析 · 数学 2019-11-05 Isaac Harris , Dinh-Liem Nguyen

This paper investigates the inverse random source problem for elastic waves in three dimensions, where the source is assumed to be driven by an additive white noise. A novel computational method is proposed for reconstructing the variance…

数值分析 · 数学 2025-11-04 Hao Gu , Tianjiao Wang , Xiang Xu , Yue Zhao

Time-harmonic far-field source array imaging in a two-dimensional waveguide is analyzed. A low-frequency situation is considered in which the diameter of the waveguide is slightly larger than the wavelength, so that the waveguide supports a…

偏微分方程分析 · 数学 2020-12-02 Josselin Garnier

Current theoretical treatment of mode splitting and scattering loss resulting from sub-wavelength scatterers attached to the surface of high-quality-factor whispering-gallery-mode microresonators is not satisfactory. Different models have…

光学 · 物理学 2015-06-05 Qing Li , Ali A. Eftekhar , Zhixuan Xia , Ali Adibi

A simple inverse problem for the wave equation requires determination of both the wave velocity in a homogenous acoustic material and the transient waveform of an isotropic point radiator, given the time history of the wavefield at a remote…

最优化与控制 · 数学 2022-09-28 William W. Symes

This work deals with an inverse source problem for the biharmonic wave equation. A two-stage numerical method is proposed to identify the unknown source from the multi-frequency phaseless data. In the first stage, we introduce some…

数值分析 · 数学 2024-01-08 Yan Chang , Yukun Guo , Yue Zhao

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

机器学习 · 计算机科学 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

Consider the scattering of a time-harmonic acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous acoustic medium. This paper concerns an inverse acoustic-elastic interaction problem, which is to determine the…

数值分析 · 数学 2020-04-22 Heping Dong , Jun Lai , Peijun Li

This paper is concerned with an inverse random source problem for the one-dimensional stochastic Helmholtz equation with attenuation. The source is assumed to be a microlocally isotropic Gaussian random field with its covariance operator…

数值分析 · 数学 2020-09-30 Peijun Li , Xu Wang

Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative solution methods. The core subproblem in all source extension methods is the solution of a…

数值分析 · 数学 2022-04-01 William W. Symes