New phase retrieval method for single-shot x-ray Talbot imaging using windowed Fourier transform

Abstract

We propose a new phase retrieval technique using a windowed Fourier transform (WFT) method for fringe pattern analysis to obtain a high-resolution phase map. The WFT method has been studied to improve the noise robustness of FT methods. In our proposed technique, an extra step is added to isolate the WFT spectrum containing phase information from other spectra, which is effective when a narrow window function is used for the high-resolution phase map. We demonstrate phase retrieval along both x- and y-axes from a two-dimensional fringe pattern obtained by X-ray Talbot imaging. Differential phase maps in high resolution with effective noise reduction are retrieved by the proposed method.