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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Published on: October 11, 2016

A computational inverse diffraction grating problem.

Gang Bao1, Peijun Li, Haijun Wu

  • 1Department of Mathematics, Zhejiang University, Hangzhou, China.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|April 5, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new continuation method to reconstruct diffraction grating profiles from reflected wave data. The technique accurately and efficiently determines the grating

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Area of Science:

  • Electromagnetics and Optics
  • Applied Mathematics

Background:

  • Diffraction gratings are crucial optical components.
  • Understanding their properties requires solving inverse problems.

Purpose of the Study:

  • To develop a novel method for reconstructing diffraction grating profiles.
  • To validate the method's accuracy and efficiency using numerical examples.

Main Methods:

  • A continuation method based on the wavenumber is employed.
  • The method reconstructs grating profiles from measured reflected waves.

Main Results:

  • Numerical examples demonstrate the method's validity.
  • The proposed technique is shown to be efficient for inverse diffraction grating problems.

Conclusions:

  • The developed continuation method is effective for grating profile reconstruction.
  • This approach offers a reliable tool for analyzing periodic structures.