English
Related papers

Related papers: Characterisation of Multiple Conducting Permeable …

200 papers

We present a new complete asymptotic expansion for the low frequency time-harmonic magnetic field perturbation caused by the presence of a conducting (permeable) object as its size tends to zero for the eddy current regime of Maxwell's…

Analysis of PDEs · Mathematics 2018-05-23 P. D. Ledger , W. R. B. Lionheart

Current mathematical models for identifying highly conducting buried objects in metal detection assume that the soil is non-conducting and has the same permeability as free space. However, although the electrical conductivity of soil is…

Analysis of PDEs · Mathematics 2025-07-08 P. D. Ledger , W. R. B. Lionheart

The aim of this paper is provide new insights into the properties of the rank 2 polarizability tensor $\check{\check{\mathcal M}}$ proposed in (P.D. Ledger and W.R.B. Lionheart Characterising the shape and material properties of hidden…

Optics · Physics 2018-07-04 P. D. Ledger , W. R. B. Lionheart

The measurement of time-harmonic perturbed field data, at a range of frequencies, is beneficial for practical metal detection where the goal is to locate and identify hidden targets. In particular, these benefits are realised when frequency…

Analysis of PDEs · Mathematics 2020-01-08 P. D. Ledger , W. R. B. Lionheart

Being able to characterise objects at low frequencies, but above the limiting frequency of the eddy current approximation of the Maxwell system, is important for improving current metal detection technologies. Importantly, the upper…

Analysis of PDEs · Mathematics 2022-09-28 P. D. Ledger , W. R. B. Lionheart

Our interest lies in the identification of hidden conducting permeable objects from measurements of the perturbed magnetic field in metal detection taken over range of low frequencies. The magnetic polarizability tensor (MPT) provides a…

Numerical Analysis · Mathematics 2020-01-22 B. A. Wilson , P. D. Ledger

Purpose: Magnetic polarizability tensors (MPTs) provide an economical characterisation of conducting magnetic metallic objects and their spectral signature can aid in the solution of metal detection inverse problems, such as scrap metal…

Numerical Analysis · Mathematics 2024-05-01 James Elgy , Paul D. Ledger

We present new alternative complete asymptotic expansions for the time harmonic low--frequency magnetic field perturbation caused by the presence of a conducting permeable object as its size tends to zero for the eddy current approximation…

Analysis of PDEs · Mathematics 2022-07-11 P. D. Ledger , W. R. B. Lionheart

The early detection of terrorist threat objects, such as guns and knives, through improved metal detection, has the potential to reduce the number of attacks and improve public safety and security. To achieve this, there is considerable…

Machine Learning · Computer Science 2021-10-14 B. A. Wilson , P. D. Ledger , W. R. B. Lionheart

The early detection of terrorist threats, such as guns and knives, through improved metal detection, has the potential to reduce the number of attacks and improve public safety and security. To achieve this, there is considerable potential…

Cryptography and Security · Computer Science 2020-12-21 P. D. Ledger , B. A. Wilson , A. A. S. Amad , W. R. B. Lionheart

The inductive response of an object to an oscillating magnetic field reveals information about its electrical conductivity and magnetic permeability. Here we introduce a technique that uses measurements of the angular, frequency and spatial…

Applied Physics · Physics 2021-11-24 R. Gartman , W. Chalupczak

In this paper we introduce an efficient algorithm for identifying conductive objects using induction data derived from eddy currents. Our method consists of first extracting geometric features from the induction data and then matching them…

Analysis of PDEs · Mathematics 2014-07-11 Habib Ammari , Junqing Chen , Zhiming Chen , Darko Volkov , Han Wang

(Electric) polarization tensors describe part of the leading order term of asymptotic voltage perturbations caused by low volume fraction inhomogeneities of the electrical properties of a medium. They depend on the geometry of the support…

Analysis of PDEs · Mathematics 2015-09-25 Roland Griesmaier , Martin Hanke

Eddy currents induced in electrically conductive objects can be used to locate metallic objects as well as to assess the properties of materials non-destructively without physical contact. This technique is useful for material…

Applied Physics · Physics 2023-01-19 Lucy Elson , Adil Meraki , Lucas M. Rushton , Tadas Pyragius , Kasper Jensen

The characterisation of small low conducting inclusions in an otherwise uniform background from low-frequency electrical field measurements has important applications in medical imaging using electrical impedance tomography as well as in…

Numerical Analysis · Mathematics 2022-06-24 A. A. S. Amad , P. D. Ledger , T. Betcke , D. Praetorius

Layered systems shows anisotropic transport properties. The interlayer conductivity show a general temperature dependence for a wide class of materials. This can be understood if conduction occurs in two different channels activated at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Urban Lundin , Ross H. McKenzie

A full-wave numerical scheme of polarisability tensors evaluation is presented. The method accepts highly conducting bodies of arbitrary shape and explicitly accounts for the radiation as well as ohmic losses. The method is verified on…

Computational Physics · Physics 2017-12-07 L. Jelinek , O. Kratky , M. Capek

We introduce a new type of object characterisation, which is capable of accurately describing small isolated inclusions for potential field inverse problems such as in electrostatics, magnetostatics and related low frequency Maxwell…

Numerical Analysis · Mathematics 2022-08-08 P. D. Ledger , W. R. B. Lionheart

We are concerned with the inverse problem of recovering a conductive medium body. The conductive medium body arises in several applications of practical importance, including the modeling of an electromagnetic object coated with a thin…

Analysis of PDEs · Mathematics 2020-05-12 Xinlin Cao , Huaian Diao , Hongyu Liu

The quest to improve transparent conductors balances two key goals: increasing electrical conductivity and increasing optical transparency. To improve both simultaneously is hindered by the physical limitation that good metals with high…

‹ Prev 1 2 3 10 Next ›