Holographic imaging with a hard x-ray nanoprobe: ptychographic versus conventional phase retrieval.

We have performed near-field x-ray imaging with simultaneous object and probe reconstruction. By an advanced ptychographic algorithm based on longitudinal and lateral translations, full-field images of nanoscale objects are reconstructed with quantitative contrast values, along with the extended wavefronts used to illuminate the objects. The imaging scheme makes idealizing assumptions on the probe obsolete, and efficiently disentangles phase shifts related to the object from the imperfections in the illumination. We validate this approach by comparison to the conventional reconstruction scheme without simultaneous probe retrieval, based on the contrast transfer function algorithm. To this end, a set of semiconductor nanowires with controlled chemical composition (InP core, insulating SiO2 layer, and indium tin oxide cover) is imaged using the quasi-point source illumination realized by the hard x-ray nanofocus (26  nm×39  nm spot size) of the ID16A Nano-Imaging beamline at the European Synchrotron Radiation Facility.

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

[2]  Franz Pfeiffer,et al.  Ptychographic characterization of the wavefield in the focus of reflective hard X-ray optics. , 2010, Ultramicroscopy.

[3]  Tim Salditt,et al.  Near-field ptychography using lateral and longitudinal shifts , 2015 .

[4]  J. Fienup,et al.  Phase retrieval with transverse translation diversity: a nonlinear optimization approach. , 2008, Optics express.

[5]  Michael C Roggemann,et al.  Digital simulation of scalar optical diffraction: revisiting chirp function sampling criteria and consequences. , 2009, Applied optics.

[6]  D. Gabor A New Microscopic Principle , 1948, Nature.

[7]  Tim Salditt,et al.  Hard x-ray nanobeam characterization by coherent diffraction microscopy , 2010 .

[8]  Hidekazu Mimura,et al.  Image quality improvement in a hard X-ray projection microscope using total reflection mirror optics. , 2004, Journal of synchrotron radiation.

[9]  David J Vine,et al.  Phase-diverse coherent diffractive imaging: high sensitivity with low dose. , 2011, Physical review letters.

[10]  Tilo Baumbach,et al.  Single-distance phase retrieval at large phase shifts. , 2011, Optics express.

[11]  P. Cloetens,et al.  Optimization of phase contrast imaging using hard x rays , 2005 .

[12]  Manuel Guizar-Sicairos,et al.  Efficient subpixel image registration algorithms. , 2008, Optics letters.

[13]  Simon Maretzke,et al.  A uniqueness result for propagation-based phase contrast imaging from a single measurement , 2014, 1409.4794.

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

[15]  T Salditt,et al.  X-ray holographic imaging of hydrated biological cells in solution. , 2015, Physical review letters.

[16]  S. Wilkins,et al.  Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object , 2002, Journal of microscopy.

[17]  J. Wallentin,et al.  High-flux ptychographic imaging using the new 55 µm-pixel detector ‘Lambda’ based on the Medipix3 readout chip , 2014, Acta Crystallographica. Section A, Foundations and Advances.

[18]  Tim Salditt,et al.  Validity of the empty-beam correction in near-field imaging , 2015 .

[19]  A. Vivo,et al.  Graded multilayers for figured Kirkpatrick-Baez mirrors on the new ESRF end station ID16A , 2015, SPIE Optical Engineering + Applications.

[20]  P Cloetens,et al.  Reconstruction of wave front and object for inline holography from a set of detection planes. , 2014, Optics express.

[21]  Klaus Giewekemeyer,et al.  X-ray propagation microscopy of biological cells using waveguides as a quasipoint source , 2011 .

[22]  O. Bunk,et al.  High-Resolution Scanning X-ray Diffraction Microscopy , 2008, Science.

[23]  A Pein,et al.  Using sparsity information for iterative phase retrieval in x-ray propagation imaging. , 2016, Optics express.

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

[25]  P. Cloetens,et al.  Holotomography: Quantitative phase tomography with micrometer resolution using hard synchrotron radiation x rays , 1999 .

[26]  Manuel Guizar-Sicairos,et al.  Reconstruction of an astigmatic hard X-ray beam and alignment of K-B mirrors from ptychographic coherent diffraction data. , 2010, Optics express.