The holographic twin image problem: a deterministic phase solution
نویسندگان
چکیده
We describe a novel method for solving the twin image problem of in-line holography using a new technique for deterministic phase retrieval combined with numerical back-propagation of the reconstructed complex field. The technique presented here is applicable to any field described by the paraxial scalar wave equation, and is therefore equally applicable to X-ray, electron and neutron optics as well as visible light optics. q 2000 Published by Elsevier Science B.V. PACS: 42.40.Kw; 42.30.Rx; 07.85.Tt; 07.60.y j
منابع مشابه
Solution to the twin image problem in holography.
While holography truly constitutes an ingenious concept, ever since its invention by Gabor it has been troubled by the so-called twin-image problem limiting the information that can be obtained from a holographic record. For symmetry reasons there are always two images appearing in the reconstruction of a hologram and the unwanted out of focus twin-image obscures the object. Here we show a univ...
متن کاملSparsity assisted solution to the twin image problem in phase retrieval
The problem of iterative phase retrieval from Fourier transform magnitude data for complex-valued objects is known to suffer from the twin image problem. In particular, when the object support is centrosymmetric, the iterative solution often stagnates such that the resultant complex image contains the features of both the desired solution and its inverted and complex-conjugated replica. In this...
متن کاملComplex gamma-ray hologram: solution to twin images problem in atomic resolution imaging.
A new technique for high fidelity three-dimensional imaging of atomic structure with gamma-ray holography is demonstrated. A complex hologram was constructed from holograms recorded for different values of the nuclear scattering amplitude on both sides of the (57)Fe Mössbauer resonance. The holographic reconstruction was applied to this complex hologram resulting in a twin-image-free image of t...
متن کاملPhase recovery and holographic image reconstruction using deep learning in neural networks
Phase recovery from intensity-only measurements forms the heart of coherent imaging techniques and holography. Here we demonstrate that a neural network can learn to perform phase recovery and holographic image reconstruction after appropriate training. This deep learning-based approach provides an entirely new framework to conduct holographic imaging by rapidly eliminating twin-image and self-...
متن کاملA Benders\' Decomposition Based Solution Method for Solving User Equilibrium Problem: Deterministic and Stochastic Cases
The traffic assignment problem is one of the most important problems for analyzing and optimizing the transportation network to find optimal flows. This study presented a new formulation based on a generalized Benders' decomposition approach to solve its important part, i.e. user equilibrium problems, in deterministic and stochastic cases. The new approach decomposed the problem into a master p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000