The phase and inverse scattering problem for electrons multiply scattered by non-periodic solids

电子被非周期固体多重散射时的相位和逆散射问题。将获得非周期固体中电子多重散射反演的理论方法。这将极大地扩展原子分辨率电子显微镜和电子断层扫描的应用范围，在这些领域，单散射条件通常是假设的。我们将进一步发展我们最近从图像和衍射图案（需要作为反演的前奏）中得到的相位问题的新解决方案，这些解决方案在相位不连续（如漩涡）的存在下是稳健的。这些相位恢复方法不仅适用于电子光学问题，而且适用于可见光、x射线、中子和原子光学问题。

The phase and inverse scattering problem for electrons multiply scattered by non-periodic solids. Theoretical methods for the inversion of multiple scattering of electrons in non-periodic solids will be obtained. This will vastly extend the range of utility of atomic resolution electron microscopy and electron tomography, where single scattering conditions are usually assumed. We will further develop our recent novel solutions to the phase problem from images and diffraction patterns (needed as a prelude to the inversion) that are robust in the presence of discontinuities in the phase (such as vortices). These phase retrieval methods will be useful not only for problems in electron optics but also in visible, x-ray, neutron and atom optics.