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Generalised Magnetic Polarizability Tensors: Invariants and Symmetry Groups

广义磁极化率张量：不变量和对称群

基本信息

批准号：
EP/V049453/1
负责人：
Paul Ledger
金额：
$ 5.38万
依托单位：
Keele University
依托单位国家：
英国
项目类别：
Research Grant
财政年份：
2021
资助国家：
英国
起止时间：
2021 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=EP%2FV049453%2F1
关键词：
Generalised Magnetic Polarizability Tensors Invariants

项目摘要

Characterising and identifying hidden metallic objects has important applications in:1. Security screening at border controls, public events and transport hubs and detecting threats such as knives and firearms. Knife crime is at its highest recorded level in 10 years in the UK and firearm offences are seeing an increase, many being smuggled into the UK from Europe via ferry routes.2. The identification of the 110 million current unexploded anti-personal landmines, unexplored ordnance (UXO) such as mortar and cluster bombs in areas of former conflicts. Using current techniques, it has been estimated to take over 1000 years to clear them so that the land can be returned to normal use.3. Improvements to scrap sorting, which has the potential to improve the recycling of valuable metals.Going beyond the planned work in the EPSRC funded project EP/R002134/1, a new form of object charactization called a generalised magnetic polarizabilty tensor (GMPT) has been established for highly conducting objects, offering significant advantages over existing small object characterisations. Specifically:1. Offering the possibility to better discriminate between objects and, hence, the potential to achieve better classification and identification of objects.2. Being able to use the non-uniform fields generated by a metal detector in a creative way, overcoming the assumption that field is uniform over the object in current small object characterisations, and, hence, achieving better 1.There is much still to learn about GMPTs and there are open mathematical questions about the appropriate choices of invariants (required for object classification) and using representation theory to determine symmetry groups for symmetrical metallic objects (such as mortar bombs). This project will seek to address these questions, which are required before a revolutionary new type of metal detector offering substantial improvements in the above applications can be built.

表征和识别隐藏的金属物体在以下方面有重要的应用：边境管制、公共活动和交通枢纽的安全检查，以及检测刀具和枪支等威胁。在英国，持刀犯罪达到了10年来的最高水平，枪支犯罪也在增加，其中许多是通过轮渡从欧洲走私到英国的。查明前冲突地区现存1.1亿枚未爆炸的杀伤地雷、迫击炮弹和集束炸弹等未探测弹药。使用目前的技术，估计需要1000多年的时间才能清理干净，使土地恢复正常使用。改进废料分类，这有可能改善有价值金属的回收利用。在EPSRC资助项目EP/R002134/1的计划工作之外，已经建立了一种新的物体表征形式，称为广义磁极化张量（GMPT），用于高导电性物体，与现有的小物体表征相比具有显着优势。具体:1。提供更好地区分物体的可能性，从而有可能实现更好的分类和识别物体。能够以一种创造性的方式利用金属探测器产生的非均匀场，克服了当前小物体表征中磁场在物体上是均匀的假设，因此，实现了更好的1。关于gmpt还有很多需要学习的地方，关于不变量的适当选择（对象分类所必需的）和使用表示理论来确定对称金属物体（如迫击炮弹）的对称群，还有一些开放的数学问题。该项目将寻求解决这些问题，在革命性的新型金属探测器在上述应用中提供实质性改进之前，这些问题是必需的。