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Two-dimensional inverse profiling problem using phaseless data.

Amélie Litman1, Kamal Belkebir

  • 1Institut Fresnel, UMR-CNRS 6133, Campus de Saint Jérôme, case 162, Université de Provence, 13397 Marseille Cedex, France. amelie.litman@fresnel.fr

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|October 19, 2006
PubMed
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Characterizing two-dimensional targets uses diffracted intensity and cost functional minimization. Exploring the Born approximation for adjoint fields aids in optimizing target reconstruction for various objects.

Area of Science:

  • * Inverse problems and computational electromagnetics.
  • * Wave scattering and target reconstruction.
  • * Level-set methods and optimization algorithms.

Background:

  • * Characterizing targets from diffracted intensity is crucial in fields like radar and sonar.
  • * Minimizing cost functionals is a common approach for inverse problems.
  • * The gradient calculation for optimization requires solving an adjoint problem.

Purpose of the Study:

  • * To present a method for two-dimensional target characterization using diffracted intensity.
  • * To investigate the use of level-set representation for homogeneous targets.
  • * To explore and compare different approaches for evaluating the adjoint field gradient.

Main Methods:

  • * Target characterization via cost functional minimization.

Related Experiment Videos

  • * Employing level-set representation for homogeneous targets.
  • * Utilizing a fictitious field (adjoint problem solution) for gradient evaluation.
  • * Exploring the Born approximation for the adjoint field.

    • Main Results:

    • * Successful characterization of two-dimensional targets demonstrated.
    • * The Born approximation for the adjoint field was explored.
    • * Various approaches for adjoint field computation were compared.
    • * The method's effectiveness was shown for a wide variety of objects.

    Conclusions:

    • * The proposed method enables effective two-dimensional target characterization.
    • * The choice of updating direction, via adjoint field computation, is critical.
    • * The Born approximation offers a viable approach for adjoint field evaluation in this context.