通过单调性原理对非线性材料进行断层扫描

IF 1.1 4区 工程技术 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC International Journal of Applied Electromagnetics and Mechanics Pub Date : 2024-01-12 DOI:10.3233/jae-230129
Vincenzo Mottola, A. Corbo Esposito, Gianpaolo Piscitelli, A. Tamburrino
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引用次数: 0

摘要

本文基于单调性原理,首次提出了非线性材料的非迭代成像方法。具体来说,我们处理的是反障碍问题,目的是检索嵌入线性已知背景中的非线性异常点。单调性原理(MP)是各类 PDEs 的一般属性,最近被推广到非线性椭圆 PDEs 中。从根本上说,它说明了未知材料特性的点向值与边界测量值之间的单调关系。它是一类非迭代成像方法的基础,其特点是执行时间极短,是实时应用的理想选择。在这项工作中,我们开发了一种反演方法,克服了 MP 在非线性材料成像实际应用中的一些特殊困难,保留了实时应用的可行性。为了清楚起见,我们将重点放在一个特定的应用上,即磁静态渗透率层析成像,其目标是通过直流操作中的边界测量来检索未知的(非线性)渗透率。之所以选择这种方法,是因为它应用于箱子和集装箱的安全检查。模拟数据的重构证明了该方法的有效性。
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Tomography of nonlinear materials via the monotonicity principle
In this paper we present a first non-iterative imaging method for nonlinear materials, based on Monotonicity Principle. Specifically, we deal with the inverse obstacle problem, where the aim is to retrieve a nonlinear anomaly embedded in linear known background. The Monotonicity Principle (MP) is a general property for various class of PDEs, that has recently generalized to nonlinear elliptic PDEs. Basically, it states a monotone relation between the point-wise value of the unknown material property and the boundary measurements. It is at the foundation of a class of non-iterative imaging methods, characterized by a very low execution time that makes them ideal candidates for real-time applications. In this work, we develop an inversion method that overcomes some of the peculiar difficulties in practical application of MP to imaging of nonlinear materials, preserving the feasibility for real-time applications. For the sake of clarity, we focus on a specific application, i.e. the Magnetostatic Permeability Tomography where the goal is retrieving the unknown (nonlinear) permeability by boundary measurements in DC operations. This choice is motivated by applications in the inspection of boxes and containers for security. Reconstructions from simulated data prove the effectiveness of the presented method.
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来源期刊
CiteScore
1.70
自引率
0.00%
发文量
100
审稿时长
4.6 months
期刊介绍: The aim of the International Journal of Applied Electromagnetics and Mechanics is to contribute to intersciences coupling applied electromagnetics, mechanics and materials. The journal also intends to stimulate the further development of current technology in industry. The main subjects covered by the journal are: Physics and mechanics of electromagnetic materials and devices Computational electromagnetics in materials and devices Applications of electromagnetic fields and materials The three interrelated key subjects – electromagnetics, mechanics and materials - include the following aspects: electromagnetic NDE, electromagnetic machines and devices, electromagnetic materials and structures, electromagnetic fluids, magnetoelastic effects and magnetosolid mechanics, magnetic levitations, electromagnetic propulsion, bioelectromagnetics, and inverse problems in electromagnetics. The editorial policy is to combine information and experience from both the latest high technology fields and as well as the well-established technologies within applied electromagnetics.
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