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Related Concept Videos

Induced Electric Fields: Applications01:27

Induced Electric Fields: Applications

An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
Mesh Analysis for AC Circuits01:12

Mesh Analysis for AC Circuits

In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
Induced Electric Fields01:23

Induced Electric Fields

The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...
Induced Electric Dipoles01:28

Induced Electric Dipoles

A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...

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Related Experiment Video

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Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement
09:43

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Published on: November 7, 2017

An efficient impedance method for induced field evaluation based on a stabilized Bi-conjugate gradient algorithm.

Hua Wang1, Feng Liu, Ling Xia

  • 1School of Information Technology & Electric Engineering, The University of Queensland, Brisbane, Qld 4072, Australia.

Physics in Medicine and Biology
|October 23, 2008
PubMed
Summary
This summary is machine-generated.

A new stabilized Bi-conjugate gradient (BiCGstab) algorithm enhances the impedance method for modeling low-frequency induction. This BiCGstab approach offers superior convergence and memory efficiency compared to traditional methods.

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Area of Science:

  • Computational electromagnetics
  • Biomedical engineering
  • Numerical modeling

Background:

  • The impedance method is crucial for modeling low-frequency field induction in voxel phantoms.
  • Conventional algorithms like successive over-relaxation (SOR) face limitations in convergence and memory usage.
  • Efficient numerical methods are needed for accurate simulation of electromagnetic phenomena in biological tissues.

Purpose of the Study:

  • To introduce a stabilized Bi-conjugate gradient algorithm (BiCGstab) for improved impedance method performance.
  • To enhance computational efficiency in terms of convergence speed and memory consumption.
  • To validate the algorithm's accuracy and applicability in complex phantom models.

Main Methods:

  • Implementation of the stabilized Bi-conjugate gradient (BiCGstab) algorithm.
  • Application of the improved impedance method to model low-frequency induction phenomena.
  • Validation against numerical/analytical solutions using a lossy, multilayered sphere phantom.
  • Evaluation of induced fields in a human phantom for a low-frequency hyperthermia device.

Main Results:

  • The BiCGstab-enhanced impedance method demonstrated significant improvements in convergence performance.
  • Reduced memory consumption was observed compared to the conventional SOR-based algorithm.
  • Numerical accuracy was confirmed through validation against established solutions.
  • The method proved effective in simulating induced fields for a hyperthermia application.

Conclusions:

  • The stabilized Bi-conjugate gradient algorithm offers a computationally superior alternative for the impedance method.
  • This advancement facilitates more efficient and accurate modeling of low-frequency electromagnetic induction in biological phantoms.
  • The developed method shows strong potential for applications in biomedical engineering, such as hyperthermia treatment planning.