Extracting quantitative image information from coherent diffraction measurements remains challenging due to
problems such as slow convergence of iterative phase retrieval algorithms, questionable uniqueness of the resulting
images, and common requirements of compactness of the specimens. These difficulties are overcome by combining
iterative phase retrieval with ptychography, i.e., the use of multiple diffraction measurements probing several
overlapping regions of the specimen. While promising results of ptychographical coherent diffractive imaging have
been achieved the technique has been limited by requiring precise knowledge of the illumination. We present
advances of the reconstruction algorithm, which allow unsupervised deconvolution of the illuminating probe and
the complex-valued optical transmission function of the specimen. We have performed measurements using both
visible light and x-rays, demonstrating sub-50nm resolution.
The results of experimental research of x-ray radiation (5-20 keV) passage through capillary structure in a synchrotron radiation (SR) beam of the storage ring BESSY II (Berlin) are presented. The description of experimental setup and researched capillary structure (capillary lens) parameters are given. The procedure of the researched optics adjustment and registration method of the radiation passed through a lens are described. The analysis of experimental data is also given.