Boosting spatial resolution by incorporating periodic boundary conditions into single-distance hard-x-ray phase retrieval. (13th October 2020)

• Record Type: Journal Article
• Authors: Paganin, David M; Favre-Nicolin, Vincent; Mirone, Alessandro; Rack, Alexander; Villanova, Julie; Olbinado, Margie P; Fernandez, Vincent; da Silva, Julio C; Pelliccia, Daniele
• Is Part Of: Journal of optics. Volume 22:Number 11(2020)
• Publication Date: 2020-10-13
• Subjects: coherent optics -- x-ray optics -- phase retrieval -- phase contrast -- tomography -- inline holography -- x-ray imaging; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8986/abbab9
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: A simple coherent-imaging method due to Paganin et al is widely employed for phase–amplitude reconstruction of samples using a single paraxial x-ray propagation-based phase-contrast image. The method assumes that the sample-to-detector distance is sufficiently small for the associated Fresnel number to be large compared to unity. The algorithm is particularly effective when employed in a tomographic setting, using a single propagation-based phase-contrast image for each projection. Here we develop a simple extension of the method, which improves the reconstructed contrast of very fine sample features. This provides first-principles motivation for boosting fine spatial detail associated with high Fourier frequencies, relative to the original method, and was inspired by several recent works employing empirically-obtained Fourier filters to a similar end.