Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Facing the phase problem in Coherent Diffractive Imaging via Memetic
  Algorithms   Coherent Diffractive Imaging is a lensless technique that allows imaging of
matter at a spatial resolution not limited by lens aberrations. This technique
exploits the measured diffraction pattern of a coherent beam scattered by
periodic and non-periodic objects to retrieve spatial information. The
diffracted intensity, for weak-scattering objects, is proportional to the
modulus of the Fourier Transform of the object scattering function. Any phase
information, needed to retrieve its scattering function, has to be retrieved by
means of suitable algorithms. Here we present a new approach, based on a
memetic algorithm, i.e. a hybrid genetic algorithm, to face the phase problem,
which exploits the synergy of deterministic and stochastic optimization
methods. The new approach has been tested on simulated data and applied to the
phasing of transmission electron microscopy coherent electron diffraction data
of a $\text{SrTiO}_\text{3}$ sample. We have been able to quantitatively
retrieve the projected atomic potential, and also image the oxygen columns,
which are not directly visible in the relevant high-resolution transmission
electron microscopy images. Our approach proves to be a new powerful tool for
the study of matter at atomic resolution and opens new perspectives in those
applications in which effective phase retrieval is necessary.

32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph