Abstract

In Talbot-Lau interferometry, the sample position yielding the highest phase sensitivity suffers from strong geometric blur. This trade-off between phase-sensitivity and spatial resolution is a fundamental challenge in such interferometric imaging applications with either neutron or conventional x-ray sources due to their relatively large beam-defining apertures or focal spots. In this study, a deep learning method is introduced to estimate a high phase-sensitive and high spatial resolution image from a trained neural network to attempt to avoid the trade-off for both high phase-sensitivity and high resolution. To realize this, the training data sets of the differential phase contrast images at a pair of sample positions, one of which is close to the phase grating and the other close to the detector, are numerically generated and are used as the inputs for the training data set of a generative adversarial network. The trained network has been applied to the real experimental data sets from a neutron grating interferometer and we have obtained improved images both in phase-sensitivity and spatial resolution.

Highlights

  • In Talbot-Lau interferometry, the sample position yielding the highest phase sensitivity suffers from strong geometric blur

  • In the phase contrast image, one has the capability to adjust the phase contrast sensitivity based on the sample position

  • The phase contrast sensitivity increases as the sample gets closer to the phase grating, and the maximum sensitivity of a grating interferometer is highest when it is designed in symmetric geometry given the same source-to-analyzer grating distance

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Summary

Introduction

In Talbot-Lau interferometry, the sample position yielding the highest phase sensitivity suffers from strong geometric blur. This trade-off between phase-sensitivity and spatial resolution is a fundamental challenge in such interferometric imaging applications with either neutron or conventional x-ray sources due to their relatively large beam-defining apertures or focal spots. Despite the high phase-sensitivity in the symmetric geometry, this configuration results in image blurring due to the large distance between the detector and sample. The phase-sensitivity/spatial resolution trade-off problem is severe when the radiation source has a large focal spot size or beam defining aperture, such is the case with conventional x-ray tubes and neutron beams[7,8].

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