1. Iterative Phase Retrieval (Jianwei Miao & David Sayre)
Diffraction Pattern
Fourier Transformation
Phase Information is lost
Compare with
observed pattern
Make diffraction pattern
Iteration
Reconstruction
Fourier Transformation
with assumed phase
You need not
to make crystal

2. Reconstruction of Complex Real Space Images
Phase Retrieval
Scattered Intensity

3. 3D Diffraction Nanoscopy
Miao et al. PRL (2002)
8 nm resolution
Two Layer Ni Pattern
Coherent Scattering Pattern
SEM image of Ni pattern on SiN
2D Reconstructed Image (<10 nm resolution)
3D Reconstructed Image (~50 nm resolution)

4. E. Coli Bacteria Reconstructed Image Coherent Scattering Pattern
25 nm resolution
J. Miao, et al.: PNAS, 100 (2003)
Visible, Confocal Microscopy