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Inverse scattering with a wave-front-matching algorithm.

Demetrio Macías1, Eugenio R Méndez, Víctor Ruiz-Cortés

  • 1División de Fisica Aplicada, Centro de Investigación Científica y de Educación Superior de Ensenada, BC, Mexico. dmacias@cicese.mx

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|October 9, 2002
PubMed
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This study introduces a numerical method to reconstruct surface shapes using light scattering data. The wave-front-matching algorithm accurately recovers one-dimensional profiles, even with noisy measurements.

Area of Science:

  • Optics and Photonics
  • Computational Physics
  • Materials Science

Background:

  • Surface profile reconstruction is crucial for material characterization and device fabrication.
  • Far-field scattering data offers a non-contact method for probing surface topography.
  • Existing methods may face limitations in accuracy or data requirements.

Purpose of the Study:

  • To develop and validate a novel numerical procedure for reconstructing surface profiles.
  • To utilize far-field scattering data for accurate surface topography determination.
  • To assess the algorithm's robustness against noisy input data.

Main Methods:

  • A numerical procedure based on wave-front-matching principles was developed.
  • The algorithm reconstructs one-dimensional surface profiles from amplitude scattering data.

Related Experiment Videos

  • Rigorous scattering calculation techniques were employed to generate synthetic data.
  • A sampling strategy was devised to optimize data acquisition.
  • The algorithm's tolerance to noise was systematically investigated.

    • Main Results:

    • The proposed wave-front-matching algorithm successfully reconstructs one-dimensional surface profiles.
    • Accurate reconstructions were achieved using amplitude scattering data.
    • The developed sampling strategy enhances the efficiency of data utilization.
    • The algorithm demonstrates a degree of tolerance to noise in the scattering data.

    Conclusions:

    • The numerical procedure provides an effective means for surface profile reconstruction from far-field scattering data.
    • Wave-front-matching principles offer a robust foundation for inverse scattering problems.
    • The method shows potential for applications in surface metrology and characterization.
    • Further research can explore extensions to two-dimensional profiles and different scattering regimes.