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Scattering And Absorption of Light in Planetary Regoliths
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A multipole-expansion based linear sampling method for solving inverse scattering problems.

Krishna Agarwal1, Xudong Chen, Yu Zhong

  • 1Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576. g0600069@nus.edu.sg

Optics Express
|April 15, 2010
PubMed
Summary
This summary is machine-generated.

This study enhances the linear sampling method (LSM) for scatterer reconstruction by analyzing multipole expansions. The modified approach, truncating higher-order terms, offers improved performance over traditional regularization techniques.

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Area of Science:

  • Electromagnetics and Optics
  • Inverse Problems
  • Computational Physics

Background:

  • The linear sampling method (LSM) is a qualitative technique for reconstructing scatterer properties.
  • Traditional LSM often relies on mathematical regularization, which can be computationally intensive or introduce artifacts.
  • Analyzing the multipole expansion of scattered fields offers an alternative approach to scatterer reconstruction.

Purpose of the Study:

  • To present a modified linear sampling method (LSM) for improved scatterer support reconstruction.
  • To investigate the effectiveness of truncating higher-order multipoles in the scattered field's expansion.
  • To demonstrate the superiority of the proposed method compared to standard mathematical regularization in LSM.

Main Methods:

  • The modified LSM analyzes the multipole expansion of the scattered electromagnetic field.
  • Reconstruction of the scatterer support is performed using only monopole and dipole terms.
  • Higher-order multipole terms are systematically truncated.
  • The method's performance is evaluated under additive Gaussian noise conditions.

Main Results:

  • The proposed LSM modification demonstrates enhanced performance compared to conventional regularization techniques.
  • Truncation of higher-order multipoles provides a valid and effective simplification for scatterer reconstruction.
  • The method shows robust performance for both dielectric and perfectly conducting scatterers.
  • Successful reconstruction is achieved even in the presence of significant Gaussian noise.

Conclusions:

  • The modified LSM, utilizing monopole and dipole terms from multipole expansion, offers a more efficient and accurate approach to scatterer support reconstruction.
  • Truncating higher-order multipoles is a justified and beneficial strategy, outperforming standard regularization.
  • This method provides a valuable tool for inverse scattering problems, particularly in noisy environments.