Abstract

Ptychography is a scanning coherent diffraction imaging technique which provides high resolution imaging and complete spatial information of the complex electric field probe and sample transmission function. Its ability to accurately determine the illumination probe has led to its use at modern synchrotrons and free-electron lasers as a wavefront-sensing technique for optics alignment, monitoring and correction. Recent developments in the ptychography reconstruction process now incorporate a modal decomposition of the illuminating probe and relax the restriction of using sources with high spatial coherence. In this article a practical implementation of hard X-ray ptychography from a partially coherent X-ray source with a large number of modes is demonstrated experimentally. A strongly diffracting Siemens star test sample is imaged using the focused beam produced by either a Fresnel zone plate or beryllium compound refractive lens. The recovered probe from each optic is back propagated in order to plot the beam caustic and determine the precise focal size and position. The power distribution of the reconstructed probe modes also allows the quantification of the beams coherence and is compared with the values predicted by a Gaussian-Schell model and the optics exit intensity.

Highlights

  • The short wavelength, high penetration and chemical sensitivity of hard X-rays makes them an ideal nano-probe for studying the chemical, elemental and structure of matter and has led to the development of highly brilliant sources at thirdgeneration synchrotrons and X-ray free-electron laser facilities (XFELs)

  • Advancements in source coherence and emittance has led to the development of coherent diffraction imaging (CDI)

  • ; x;y 1⁄4 Àq2x;yqþx;y4Á1=2 : ð10Þ. These values should remain constant along the beam path up to the optic plane, and the transverse product of the normalized degree of coherence = x y will serve as the comparative value found with the ptychography reconstruction

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Summary

Introduction

The short wavelength, high penetration and chemical sensitivity of hard X-rays makes them an ideal nano-probe for studying the chemical, elemental and structure of matter and has led to the development of highly brilliant sources at thirdgeneration synchrotrons and X-ray free-electron laser facilities (XFELs). The recovered probe is back propagated to generate a beam caustic and reveal the precise focal plane position and focus size In addition to this the power distribution from the reconstructed probe modes is used to quantify the normalized degree of coherence and is compared with the values predicted by a Gaussian–Schell model using the optics exit intensity

Partially coherent ptychography
Source coherence theory
Experimental method
Fresnel zone plate
Beryllium compound refractive lens
Results
Conclusion

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