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This paper proposes a neural network approach for solving two classical problems in the two-dimensional inverse wave scattering: far field pattern problem and seismic imaging. The mathematical problem of inverse wave scattering is to…

Computational Physics · Physics 2019-12-02 Yuwei Fan , Lexing Ying

A deep learning scheme is proposed to solve the electromagnetic (EM) scattering problems where the profile of the dielectric scatterer of interest is incomplete. As a compensation, a limited amount of scattering data is provided, which is…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Ji-Yuan Wang , Xin-Yue Lou , Liang Zhang , Yun-Chuan Wang , Xiao-Min Pan

Parametric surrogate models of electric machines are widely used for efficient design optimization and operational monitoring. Addressing geometry variations, spline-based computer-aided design representations play a pivotal role. In this…

Computational Engineering, Finance, and Science · Computer Science 2026-01-12 Merle Backmeyer , Michael Wiesheu , Sebastian Schöps

The analysis of electromagnetic scattering has long been performed on a discrete representation of the geometry. This representation is typically continuous but {\em not} differentiable. The need to define physical quantities on this…

Computational Physics · Physics 2016-06-22 Jie Li , Daniel Dault , Beibei Liu , Yiying Tong , Balasubramaniam Shanker

In this paper, we introduce a physics and geometry informed neural operator network with application to the forward simulation of acoustic scattering. The development of geometry informed deep learning models capable of learning a solution…

Machine Learning · Computer Science 2024-06-06 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within…

Numerical Analysis · Mathematics 2019-06-28 Jürgen Dölz , Stefan Kurz , Sebastian Schöps , Felix Wolf

We introduce a method to reconstruct the kinematics of neutral-current deep inelastic scattering (DIS) using a deep neural network (DNN). Unlike traditional methods, it exploits the full kinematic information of both the scattered electron…

High Energy Physics - Experiment · Physics 2022-01-03 Miguel Arratia , Daniel Britzger , Owen Long , Benjamin Nachman

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

Radio-Frequency (RF) imaging concerns the digital recreation of the surfaces of scene objects based on the scattered field at distributed receivers. To solve this difficult inverse scattering problems, data-driven methods are often employed…

Machine Learning · Computer Science 2025-03-19 Kyriakos Stylianopoulos , Panagiotis Gavriilidis , Gabriele Gradoni , George C. Alexandropoulos

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introducing a divide-and-conquer framework using specially designed…

Numerical Analysis · Mathematics 2025-11-27 Leonidas Mindrinos , Nikolaos Pallikarakis , Nikolaos L Tsitsas

Inverse scattering problems are inherently challenging, given the fact they are ill-posed and nonlinear. This paper presents a powerful deep learning-based approach that relies on generative adversarial networks to accurately and…

Image and Video Processing · Electrical Eng. & Systems 2024-02-19 Ehtasham Naseer , Ali Imran Sandhu , Muhammad Adnan Siddique , Waqas W. Ahmed , Mohamed Farhat , Ying Wu

Neural networks have been demonstrated to be able to accelerate the modeling and inverse design of optical and electromagnetic devices by serving as fast surrogates for electromagnetic solvers. Nevertheless, such neural networks can be…

Electromagnetic inverse scattering problems (ISPs) aim to retrieve permittivities of dielectric scatterers from the scattering measurement. It is often highly nonlinear, caus-ing the problem to be very difficult to solve. To alleviate the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Huilin Zhou , Tao Ouyang , Yadan Li , Jian Liu , Qiegen Liu

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

Coherent imaging through scatter is a challenging task in computational imaging. Both model-based and data-driven approaches have been explored to solve the inverse scattering problem. In our previous work, we have shown that a deep…

Optics · Physics 2021-02-03 Yuzhe Li , Shiyi Cheng , Yujia Xue , Lei Tian

In this paper, we advocate a novel spline-based isogeometric approach for boundary elements and its efficient implementation. We compare solutions obtained by both an isogeometric approach, and a classical parametric higher-order approach…

Computational Engineering, Finance, and Science · Computer Science 2018-07-11 Jürgen Dölz , Stefan Kurz , Sebastian Schöps , Felix Wolf

This paper presents a neural network approach for solving two-dimensional optical tomography (OT) problems based on the radiative transfer equation. The mathematical problem of OT is to recover the optical properties of an object based on…

Computational Physics · Physics 2019-10-14 Yuwei Fan , Lexing Ying

This contribution investigates the connection between isogeometric analysis and integral equation methods for full-wave electromagnetic problems up to the low-frequency limit. The proposed spline-based integral equation method allows for an…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Maximilian Nolte , Riccardo Torchio , Sebastian Schöps , Jürgen Dölz , Felix Wolf , Albert E. Ruehli

This study presents a deep learning based methodology for both remote sensing and design of acoustic scatterers. The ability to determine the shape of a scatterer, either in the context of material design or sensing, plays a critical role…

Computational Physics · Physics 2023-06-30 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

This paper introduces a novel deep neural network architecture for solving the inverse scattering problem in frequency domain with wide-band data, by directly approximating the inverse map, thus avoiding the expensive optimization loop of…

Numerical Analysis · Mathematics 2024-08-07 Borong Zhang , Leonardo Zepeda-Núñez , Qin Li
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