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$Interference and Diffraction$ 02:18

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Updated: May 24, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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Published on: October 11, 2016

Transfer characteristics of rectangular phase gratings in interference microscopy.

Peter Lehmann¹, Weichang Xie, Jan Niehues

¹Department of Electrical Engineering and Computer Science, University of Kassel, Kassel, Germany. p.lehmann@uni‑kassel.de

|February 21, 2012

Summary

This summary is machine-generated.

This study reveals that imaging phase objects differs significantly from amplitude objects due to nonlinear behavior. Interference microscopy can accurately reconstruct phase gratings under specific optical conditions.

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Area of Science:

Optics and Photonics
Wave Phenomena
Image Science

Background:

Amplitude objects are imaged linearly.
Phase objects exhibit nonlinear imaging characteristics.
Understanding these differences is crucial for accurate optical imaging.

Purpose of the Study:

To investigate the transfer characteristics of rectangular periodic phase objects.
To compare phase object imaging with amplitude object imaging.
To determine conditions for accurate phase grating reconstruction.

Main Methods:

Theoretical analysis of transfer characteristics.
Comparison with linear imaging principles of amplitude objects.
Utilizing interference microscopy for phase object imaging.
Verification through computer simulations and experimental observations.

Main Results:

Phase object imaging demonstrates nonlinear behavior, unlike linear amplitude object imaging.
Accurate reconstruction of rectangular phase grating shapes is achievable.
The first-order diffraction component must pass the optical imaging system for accurate reconstruction.

Conclusions:

The nonlinear nature of phase object imaging necessitates specific approaches.
Interference microscopy offers a viable method for phase grating characterization.
The findings align with experimental and simulation data, validating the theoretical model.