Phase-Retrieval Method and Applications

Volume I. Fundamentals and X-ray Crystallography. A systematic development of fundamentals of phase-retrieval method is presented. It provides the theoretical foundation and gives the conditions that iterative algorithms with oversampling will give a unique or probably unique solution. Methods in X-ray crystallography, with and without using in-between Fourier coefficients, are presented. These are applied to structure determination of crystals, nonperiodic objects, fibres and planar periodic membranes. Volume II. Applications: Optics and Miscellaneous. It presents imaging of object irradiated with quasi-monochromatic coherent, incoherent, or partially coherent waves. The direct and inverse problems are dealt with. Unique decomposition of quasi-monochromatic partially coherent waves into coherent and incoherent components is presented. Imaging with partially coherent wave can then be dealt with in terms of the coherent and incoherent components. The direct and inverse problems of imaging of object emitting polychromatic coherent, incoherent or partially coherent waves are presented. For imaging of object emitting polychromatic partially coherent wave, coherent and incoherent components may be employed. Because of the small size of the nuclei, phase-retrieval method is meaningful. An article is presented for determining nuclear structure and force by means of phase retrieval in scattering.     «

Volume I. Fundamentals and X-ray Crystallography. A systematic development of fundamentals of phase-retrieval method is presented. It provides the theoretical foundation and gives the conditions that iterative algorithms with oversampling will give a unique or probably unique solution. Methods in X-ray crystallography, with and without using in-between Fourier coefficients, are presented. These are applied to structure determination of crystals, nonperiodic objects, fibres and planar periodic me...     »