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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Spatial phase-shifting characteristic of double grating interferometer.

Yang Song1, Yunyun Chen, Anzhi He

  • 1Department of information physics & engineering, Nanjing University of Science & Technology Nanjing, 210094 PR China. sy0204@mail.njust.edu.cn

Optics Express
|December 10, 2009
PubMed
Summary
This summary is machine-generated.

This study reveals the spatial phase-shifting capability of double grating interferometers. Stable phase shifts are demonstrated, dependent on grating properties and separation, even with phase objects present.

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Area of Science:

  • Optics and Photonics
  • Interferometry
  • Diffraction Optics

Background:

  • Double grating interferometers typically utilize temporal phase-shifting for wavefront analysis.
  • Spatial phase-shifting characteristics of these interferometers have not been extensively explored.

Purpose of the Study:

  • To present and analyze the spatial phase-shifting characteristics of a double grating interferometer.
  • To derive the intensity distributions of interferograms produced by double gratings.
  • To investigate the phase shift behavior with and without phase objects.

Main Methods:

  • Application of scalar diffraction theory to derive explicit intensity distributions of interferograms.
  • Analysis of phase shifts between different diffraction orders (plus-first, zero, minus-first).
  • Investigation of phase shift dependency on grating period, inter-grating distance, and phase objects.

Main Results:

  • A stable spatial phase shift is identified between the plus-first, zero, and minus-first order interferograms.
  • Phase shift is independent of phase objects and determined solely by grating period and separation.
  • Phase shifts remain consistent at specific points within interferograms even when phase objects are present.
  • A triple grating interferometer is proposed to generate at least four simultaneous phase-shifted interferograms.

Conclusions:

  • Double grating interferometers exhibit inherent spatial phase-shifting properties.
  • This spatial phase-shifting mechanism offers a stable method for phase information retrieval.
  • The findings extend to triple grating systems, enabling multi-phase-shifted interferometry.