Efficiency of capturing a phase image using cone-beam x-ray Talbot interferometry
- 14 July 2008
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 25 (8), 2025-2039
- https://doi.org/10.1364/josaa.25.002025
Abstract
We assesses the efficiency of x-ray Talbot interferometry (XTI), a technique based on the Talbot effect for measuring a wavefront gradient, in terms of how quickly it can capture a high-quality phase image with a large signal-to-noise ratio for a given incident photon number. Photon statistics cause errors in the phase of the moiré fringes and impose a detection limit on the wavefront gradient. The relation between the incident photon number and the detection limit is determined, and a figure of merit of XTI for a monochromatic cone beam is then defined. The dependence of the figure of merit on optical system parameters, such as grating pitch and position, is then discussed. The effects of varying the pattern height and linewidth of the second grating are shown for rectangular and trapezoidal teeth. Finally, we show how to design a practical cone-beam Talbot interferometer for certain boundary conditions.Keywords
This publication has 23 references indexed in Scilit:
- Biomedical imaging by Talbot-type x-ray phase tomographyPublished by SPIE-Intl Soc Optical Eng ,2006
- Phase Tomography by X-ray Talbot Interferometry for Biological ImagingJapanese Journal of Applied Physics, 2006
- X-ray Talbot Interferometry with Capillary PlatesJapanese Journal of Applied Physics, 2006
- X-ray phase imaging with a grating interferometerOptics Express, 2005
- X-ray wavefront analysis and optics characterization with a grating interferometerApplied Physics Letters, 2005
- Hard x-ray phase imaging and tomography with a grating interferometerPublished by SPIE-Intl Soc Optical Eng ,2004
- Phase tomography using an x-ray Talbot interferometerPublished by SPIE-Intl Soc Optical Eng ,2004
- Fractional Fourier transforms and their optical implementation IIJournal of the Optical Society of America A, 1993
- Image rotation, Wigner rotation, and the fractional Fourier transformJournal of the Optical Society of America A, 1993
- Fractional Fourier transforms and their optical implementation: IJournal of the Optical Society of America A, 1993