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• W2742318095 abstract "Coherent diffraction imaging (CDI) is a rapidly developing form of imaging that offers the potential of wavelength-limited resolution without image-forming lenses. In CDI, the intensity of the diffraction pattern is measured directly by the detector, and various iterative phase retrieval algorithms are used to ``invert'' the diffraction pattern and reconstruct a high-resolution image of the sample. However, there are certain requirements in CDI that must be met to reconstruct the object. Although most experiments are conducted in the ``far-field''---or Fraunhofer---regime where the requirements are not as stringent, some experiments must be conducted in the ``near field'' where Fresnel diffraction must be considered. According to the derivation of Fresnel diffraction, successful reconstructions can only be obtained when the small-angle number, a derived quantity, is much less than one. We show, however, that it is not actually necessary to fulfill the small-angle condition. The Fresnel kernel well approximates the exact kernel in regions where the phase oscillates slowly, and in regions of fast oscillations, indicated by large $An$, the error between kernels should be negligible due to stationary-phase arguments. We experimentally verify this conclusion with a helium neon laser setup and show that it should hold at x-ray wavelengths as well." @default.
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• W2742318095 date "2017-08-04" @default.
• W2742318095 modified "2023-10-12" @default.
• W2742318095 title "Near-field limitations of Fresnel-regime coherent diffraction imaging" @default.
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• W2742318095 doi "https://doi.org/10.1103/physrevb.96.054104" @default.
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