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INVERSE SOURCE PROBLEM FOR ACOUSTICALLY-MODULATED ELECTROMAGNETIC WAVES.

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This study presents a novel method for reconstructing electrical current density using acoustic modulation of electromagnetic fields. The research demonstrates unique current reconstruction with Lipschitz stability, validated by numerical simulations.

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Area of Science:

  • Electromagnetism
  • Acoustics
  • Applied Physics

Background:

  • Accurate reconstruction of electrical current density is crucial for various applications.
  • Non-invasive measurement techniques are highly desirable for characterizing electromagnetic fields.
  • Acoustic modulation offers a novel approach to probe electromagnetic phenomena.

Purpose of the Study:

  • To develop and validate a method for reconstructing electrical current density.
  • To utilize acoustically-modulated boundary measurements for this reconstruction.
  • To establish the uniqueness and stability of the proposed reconstruction method.

Main Methods:

  • Proposing a novel reconstruction method based on acoustic modulation.
  • Employing time-harmonic electromagnetic field measurements at the boundary.
  • Analyzing the uniqueness and Lipschitz stability of the reconstruction algorithm.

Main Results:

  • Demonstrated unique reconstruction of electrical current density.
  • Established Lipschitz stability for the reconstruction process.
  • Numerical simulations confirmed the analytical findings and method's efficacy.

Conclusions:

  • The proposed method enables accurate reconstruction of electrical current density.
  • Acoustic modulation provides a stable and unique approach for electromagnetic field analysis.
  • The findings support the practical application of this technique in relevant fields.