Holography with gamma rays: Simulations versus experiment for alpha-Fe-57

The gamma-ray holography was recently applied [P. Korecki et al., Phys. Rev . Lett. 79, 3518 (1997)] to image the three-dimensional structure of alpha- Fe-57 with an atomic resolution. A simple theory of the hologram formation based on single-scattering cluster formalism taking into account the polari zation effects in the resonant nuclear scattering and absorption processes is presented. The high quality of the real-space reconstruction is demonstr ated, however, problems arising from the cancellation of real twin images a re revealed. The realistic simulations are in a good agreement with the exp eriment. A method for elimination of the real and twin images cancellation taking advantage of the strong dependence of the scattering phase on the de tuning from the resonance in the nuclear scattering is proposed. [S0163-182 9(99)03109-4].