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

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Single-frame double-grating interferometry with two inherent-phase-shifted interferograms.

Saifollah Rasouli, Samaneh Khoshkhatti

|November 14, 2024

Summary

This summary is machine-generated.

This study introduces a novel double-grating interferometry method for analyzing phase samples. The technique offers fast, accurate phase extraction without complex algorithms, ideal for dynamic samples.

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Area of Science:

Optics and Photonics
Interferometry
Phase Contrast Microscopy

Background:

Traditional interferometry methods often require complex phase-shifting steps and are sensitive to vibrations.
Analyzing dynamic phase samples, such as biological specimens, presents challenges due to speed and stability limitations.

Purpose of the Study:

To develop a novel, self-referencing, common-path interferometry technique for rapid and accurate phase measurement of slowly varying phase samples.
To demonstrate the method's applicability to dynamic samples and its advantages over conventional approaches.

Main Methods:

A double-grating interferometry setup utilizing two diffraction orders ((0,+1) and (+1,0)) to create simultaneous, phase-shifted interferograms in a single frame.
Precise control over the grating separation to introduce a specific phase difference between interfering beams.
Application of the method to study a thermal lens in a nonlinear liquid sample with nanoparticles.

Main Results:

The proposed method successfully extracts phase information from a pair of inherent phase-shifted interferograms without external phase shifting.
Phase patterns are accurately reconstructed using an arcsine function, bypassing the need for Fourier transforms and phase-reconstruction algorithms for phase changes < π.
The technique achieves real-time operation, with phase extraction being 60 times faster than Fourier-based methods.

Conclusions:

The novel double-grating interferometry method is simple, accurate, vibration-insensitive, and suitable for analyzing dynamic samples.
It offers significant speed advantages and eliminates the need for reference interferograms or complex phase-reconstruction algorithms in certain conditions.
The technique shows promise for real-time analysis of nearly transparent organisms and other dynamic, millimeter-scale samples.