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Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...

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Scattering And Absorption of Light in Planetary Regoliths
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Published on: July 1, 2019

Subspace-based optimization method for reconstructing extended scatterers: transverse electric case.

Li Pan1, Krishna Agarwal, Yu Zhong

  • 1Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|September 2, 2009
PubMed
Summary
This summary is machine-generated.

This study extends subspace-based optimization for transverse electric (TE) wave scattering problems. The method reconstructs relative permittivity profiles, yielding smoother results than transverse magnetic (TM) cases.

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Area of Science:

  • Electromagnetics and wave propagation.
  • Inverse scattering problems and computational electromagnetics.

Background:

  • Subspace-based optimization is a powerful technique for solving inverse problems.
  • Reconstructing material properties from scattered electromagnetic fields is crucial in various applications.
  • Previous methods primarily focused on transverse magnetic (TM) wave cases.

Purpose of the Study:

  • To generalize the subspace-based optimization method for transverse electric (TE) wave scenarios.
  • To reconstruct the relative permittivity profiles of extended scatterers using TE waves.
  • To analyze the regularization properties and compare TE results with TM cases.

Main Methods:

  • Generalization of the subspace-based optimization algorithm to handle TE polarization.
  • Utilizing spectrum analysis to determine a portion of the contrast source.
  • Employing an optimization procedure for the remaining contrast source components.
  • Investigating the role of signal subspace dimension as a regularization parameter.

Main Results:

  • Successful reconstruction of relative permittivity profiles for extended scatterers in the TE case.
  • Demonstration that the signal subspace dimension acts as an effective regularization parameter.
  • Observation that the reconstructed profiles in the TE case are smoother compared to the TM case.
  • Highlighting the influence of the vectorial nature of TE waves on profile reconstruction.

Conclusions:

  • The generalized subspace-based optimization method is effective for TE inverse scattering problems.
  • The method offers improved smoothness in reconstructed permittivity profiles for TE waves.
  • The dimension of the signal subspace provides inherent regularization, enhancing stability.
  • This work expands the applicability of subspace-based optimization to a broader range of electromagnetic inverse problems.