Polychromatic near-field ptychography

Near-field X-ray ptychography has recently been experimentally shown to be able to recover a sample's complex valued transmission function from multiple near-field diffraction images, each with a lateral shift of the sample, in the monochromatic (single energy) case. In this paper, we show via numerical simulation that near-field X-ray ptychography is feasible with a polychromatic X-ray beam. Specifically, with increasing the bandwidth of the energy spectrum, we observe a mild reduction in the visibility of the near-field speckles, and consequently an increase in the reconstruction error of the sample.

[1]  J. Rodenburg,et al.  An improved ptychographical phase retrieval algorithm for diffractive imaging. , 2009, Ultramicroscopy.

[2]  Anatoly Snigirev,et al.  Phase-contrast X-ray imaging with synchrotron radiation for materials science applications , 2003 .

[3]  Franz Pfeiffer,et al.  Ptychography with broad-bandwidth radiation , 2014 .

[4]  J. Fienup.  Invariant error metrics for image reconstruction. , 1997, Applied optics.

[5]  Franz Pfeiffer,et al.  Near-field ptychography: phase retrieval for inline holography using a structured illumination , 2013, Scientific Reports.

[6]  Franz Pfeiffer,et al.  Characterization of near-field ptychography. , 2015, Optics express.

[7]  Richard J. Fitzgerald,et al.  Phase‐Sensitive X‐Ray Imaging , 2000 .

[8]  J. Rodenburg,et al.  Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm. , 2004, Physical review letters.

[9]  O. Bunk,et al.  Influence of the overlap parameter on the convergence of the ptychographical iterative engine. , 2008, Ultramicroscopy.

[10]  J. Rodenburg,et al.  A phase retrieval algorithm for shifting illumination , 2004 .

[11]  David M. Paganin,et al.  Coherent X-Ray Optics , 2006 .

[12]  Andreas Menzel,et al.  Reconstructing state mixtures from diffraction measurements , 2013, Nature.

[13]  Franz Pfeiffer,et al.  Quantitative wave-optical numerical analysis of the dark-field signal in grating-based X-ray interferometry , 2012 .

[14]  Andreas Menzel,et al.  Probe retrieval in ptychographic coherent diffractive imaging. , 2009, Ultramicroscopy.

[15]  Simulations of x-ray speckle-based dark-field and phase-contrast imaging with a polychromatic beam , 2015 .

[16]  Franz Pfeiffer,et al.  X-ray near-field ptychography for optically thick specimens , 2015 .

[17]  Andreas Fehringer,et al.  X-ray nanotomography using near-field ptychography. , 2015, Optics express.

[18]  M. Schmid.  Principles Of Optics Electromagnetic Theory Of Propagation Interference And Diffraction Of Light , 2016 .