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We present a lensless, Fourier-transform ghost imaging scheme by exploring the fourth-order correlation function of spatially incoherent thermal neutron waves. This technique is established on the Fermi-Dirac statistics and the anti-bunching effect of fermionic fields, and the analysis must be fully quantum mechanical. The spinor representation of neutron waves and the derivation purely from the Schrodinger equation makes our work the first, rigorous, robust and truly fermionic ghost imaging scheme. The investigation demonstrates that the coincidence of the intensity fluctuations between the reference arm and the sample arm is directly related to the lateral Fourier-transform of the longitudinal projection of the samples atomic and magnetic spatial distribution. By avoiding lens systems in neutron optics, our method can potentially achieve de Broglie wavelength level resolution, incomparable by current neutron imaging techniques. Its novel capability to image crystallined and noncrystallined samples, especially the micro magnetic structures, will bring important applications to various scientific frontiers.
Fourier analysis of ghost imaging (FAGI) is proposed in this paper to analyze the properties of ghost imaging with thermal light sources. This new theory is compatible with the general correlation theory of intensity fluctuation and could explain som
Knowledge gained through X-ray crystallography fostered structural determination of materials and greatly facilitated the development of modern science and technology in the past century. Atomic details of sample structures is achievable by X-ray cry
We present some basic integer arithmetic quantum circuits, such as adders and multipliers-accumulators of various forms, as well as diagonal operators, which operate on multilevel qudits. The integers to be processed are represented in an alternative
For conventional imaging, shaking of the imaging system or the target leads to the degradation of imaging resolution. In this work, the influence of the targets shaking to fourier-transform ghost diffraction (FGD) is investigated. The analytical resu
Both ghost imaging (GI) and ghost imaging via compressive sampling (GICS) can nonlocally image an object. We report the influence of spatial transverse coherence property of a thermal source on GI and GICS and show that, using the same acquisition nu