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4D Scanning Transmission Electron Microscopy​

  • Each diffraction pattern → non-convex set
    • Phase problem: reconstruct probe P^\hat{\mathcal{P}} and object O^\hat{\mathcal{O}} from set of phase-less diffraction intensities {I}\{I\}
ψj(r)=P^(r)×O^(r−Rj)Ij(k)=∣F[ψj(r)]∣2\begin{aligned} \psi_j(\boldsymbol{r}) &= \hat{\mathcal{P}}(\boldsymbol{r}) \times \hat{\mathcal{O}}(\boldsymbol{r}-\boldsymbol{R}_j) \\ I_j(\boldsymbol{k}) &= \left| \mathcal{F}\left[\psi_j(\boldsymbol{r})\right]\right|^2 \end{aligned}