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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Phase retrieval for superposed signals from multiple binary objects.

Andreas Alpers1, Gabor T Herman, Henning Friis Poulsen

  • 1Center for Fundamental Research: Metal Structures in Four Dimensions, Risø-DTU,Technical University of Denmark, DK-4000 Roskilde, Denmark. awalpers@yahoo.de

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|September 3, 2010
PubMed
Summary
This summary is machine-generated.

We present a new method for reconstructing multiple binary functions from their superimposed Fourier transforms. This approach advances phase retrieval for applications like crystalline object imaging.

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Area of Science:

  • Diffraction imaging
  • Fourier optics
  • Computational imaging

Background:

  • Phase retrieval is crucial for reconstructing signals from intensity measurements.
  • Superposition and displacement complicate standard phase retrieval algorithms.
  • Reconstructing multiple objects simultaneously presents unique challenges.

Purpose of the Study:

  • Introduce the binary superposed phase retrieval problem.
  • Develop algorithms for reconstructing multiple 0/1-valued functions.
  • Explore applications in coherent diffraction imaging.

Main Methods:

  • Reconstruction from moduli of superposed Fourier transforms.
  • Utilizing nonoverlapping bounded supports for function separation.
  • Development and simulation-based evaluation of two novel algorithms.

Main Results:

  • Successfully reconstructed multiple binary functions from superposed Fourier modulus data.
  • Demonstrated the feasibility of the proposed algorithms through simulations.
  • Quantified algorithm performance under various conditions.

Conclusions:

  • The binary superposed phase retrieval problem is solvable with proposed methods.
  • The algorithms offer a potential solution for imaging crystalline objects.
  • Further research can refine performance and expand applications.