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Related Concept Videos

Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Ferromagnetism01:31

Ferromagnetism

Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Diamagnetic Shielding of Nuclei: Local Diamagnetic Current

An applied magnetic field causes the electrons present in the molecule to circulate, setting up a local diamagnetic current within the molecule. The local diamagnetic current arising from circulating sigma-bonding electrons induces a magnetic field, Blocal that opposes the applied magnetic field, B0. The effective magnetic field experienced by these nuclei is given by the difference between the applied and local magnetic fields in a phenomenon called local diamagnetic shielding. Essentially,...
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...

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Ferromagnetic mass localization in check point configuration using a levenberg marquardt algorithm.

Roger Alimi1, Nir Geron, Eyal Weiss

  • 1Propulsion Physics Division, Soreq NRC, Yavne 81800, Israel; E-Mails: roger@soreq.gov.il (R.A.); nirg@soreq.gov.il (N.G.); tsuriel@soreq.gov.il (T.R.C.).

Sensors (Basel, Switzerland)
|February 1, 2012
PubMed
Summary

This study introduces a fast algorithm using the Levenberg Marquardt Algorithm (LMA) for detecting and tracking ferromagnetic objects. The method accurately estimates object location and magnetic moment, even in noisy environments.

Keywords:
Levenberg Marquardt Algorithmmagnetic moment localizationmagnetic sensors

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Area of Science:

  • Magnetometry
  • Robotics
  • Signal Processing

Background:

  • Accurate detection and tracking of ferromagnetic objects are crucial for various applications, including security and autonomous systems.
  • Existing methods often struggle with real-time performance and accuracy in complex environments.

Purpose of the Study:

  • To develop and validate a novel two-stage algorithm for ferromagnetic object detection and tracking.
  • To estimate the trajectory and magnetic moment of ferromagnetic objects using magnetometer arrays.
  • To assess the algorithm's performance in terms of speed, accuracy, and robustness to environmental noise.

Main Methods:

  • A two-stage Levenberg Marquardt Algorithm (LMA) was employed for localization and magnetic moment estimation.
  • Ferromagnetic objects were tracked using an array of two to four 3-axis magnetometers in a check-point configuration.
  • The algorithm's first stage estimated target trajectory and moment, with a second stage refining position.
  • Testing was conducted in various scenarios, including different sensor configurations and target types.

Main Results:

  • The algorithm demonstrated fast processing, providing results within seconds of target detection.
  • Good localization performance and robustness in noisy environments were achieved.
  • Accurate localization of small targets was possible with both vertical "doorway" and ground-level sensor configurations.
  • Calculated trajectories remained unaffected by nearby magnetic interference.

Conclusions:

  • The presented two-stage LMA algorithm offers an effective solution for real-time ferromagnetic object detection and tracking.
  • The method is suitable for deployment in challenging environments with potential magnetic interference.
  • The algorithm's speed and accuracy make it a valuable tool for applications requiring precise object localization.