Algorithms for wavefront propagation, digital holography and iterative phase retrieval
For the past two decades I have been developing novel methods and the related algorithms for imaging with coherent light, electrons, X-rays, terahertz and other waves.
Practical algorithms for simulation of the wavefront propagation, simulation and reconstruction of in-line digital holograms, for plane and spherical waves are described in ref. . Iterative phase retrieval algorithms and their practical implementation to experimental diffraction patterns are discussed refs.[2,3].
In 2021 I showed that a three-dimensional sample distribution can be reconstructed from a single-shot intensity distribution, such as diffraction pattern or a hologram, by applying multi-slice iterative phase retrieval algorithms , fig. 1.
In 2007, I found a solution to the twin image problem in holography via applying an iterative phase retrieval algorithm , fig. 2, highlighted in New Scientist, PhysOrg. Twin image problem is a long-standing problem in holography, known since holography was invented by Denis Gabor in 1947 .
1. T. Latychevskaia and H.-W. Fink, Practical algorithms for simulation and reconstruction of digital in-line holograms, Appl. Opt. 54, 2424–2434 (2015), matlab codes for plane and spherical waves.
2. T. Latychevskaia, Iterative phase retrieval in coherent diffractive imaging: practical issues, Appl. Opt. 57, 7187–7197 (2018), matlab code.
3. T. Latychevskaia, Iterative phase retrieval for digital holography, J. Opt. Soc. Am. A 36, D31–D40 (2019).
4. T. Latychevskaia, Three-dimensional structure from single two-dimensional diffraction intensity measurement, Phys. Rev. Lett. 127, 063601 (2021), matlab code.
5. T. Latychevskaia and H.-W. Fink, Solution to the twin image problem in holography, Phys. Rev. Lett. 98, 233901 (2007), matlab codes for plane and spherical waves.
6. D. Gabor, A new microscopic principle, Nature 161, 777–778 (1948).