Complex $\mathit{\gamma }$-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 ${}^{57}\mathrm{Fe}$ Mössbauer resonance. The holographic reconstruction was applied to this complex hologram resulting in a twin-image-free image of the bcc Fe local structure. The proposed procedure allows the removal of the twin images for all real space, making $\gamma$-ray holography an unambiguous tool for atomic and magnetic structure imaging.