Algorithms for the Analytical Solution of the Magnetostatics Inverse Problem for the Signal Source of the Dipole Model

Four variants of the algorithms of the analytical solution of the inverse problem of magnetostatics for the dipolar model of field source are proposed. The solution algorithms are based on the properties of the tensors of the first and second spatial derivatives of the magnetic induction vector. Bas...

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Bibliographic Details
Published in:Cybernetics and systems analysis Vol. 59; no. 5; pp. 821 - 831
Main Authors: Primin, M., Nedayvoda, I.
Format: Journal Article
Language:English
Published: New York Springer US 01.09.2023
Springer
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Control
Cybernetics
Dipoles
Exact solutions
Information technology
Inverse problems
Magnetic fields
Magnetic induction
Magnetic signals
Magnetization
Magnetostatics
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Processor Architectures
Simulation methods
Software Engineering/Programming and Operating Systems
Software–Hardware Systems
Superconducting quantum interference devices
Systems Theory
Tensors
inverse problem
magnetometric system
SQUID sensor
information technology
magnetostatics
ISSN:1060-0396, 1573-8337
Online Access:Get full text
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Summary:Four variants of the algorithms of the analytical solution of the inverse problem of magnetostatics for the dipolar model of field source are proposed. The solution algorithms are based on the properties of the tensors of the first and second spatial derivatives of the magnetic induction vector. Based on the problem solution method, variants of the spatial configurations of flux transformers of SQUID magnetometric systems and their possible spatial location are proposed. For all the variants of measuring systems, the results of numerical simulation of the solution to the problem of spatial localization of the dipolar source of the magnetic signal are presented.
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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-023-00618-7