2014
DOI: 10.1039/c3cp53673d
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Inverting ion images without Abel inversion: maximum entropy reconstruction of velocity maps

Abstract: A new method for the reconstruction of velocity maps from ion images is presented, which is based on the maximum entropy concept. In contrast to other methods used for Abel inversion the new method never applies an inversion or smoothing to the data. Instead, it iteratively finds the map which is the most likely cause for the observed data, using the correct likelihood criterion for data sampled from a Poissonian distribution. The entropy criterion minimizes the information content in this map, which hence con… Show more

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Cited by 191 publications
(149 citation statements)
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“…It is essential to bin centroids into a grid that is fine enough not to limit the resolution of the spectrometer. The radial and angular electron distributions are reconstructed from the accumulated image, using the maximum-entropy velocity Legendre reconstruction method (51).…”
Section: Methodsmentioning
confidence: 99%
“…It is essential to bin centroids into a grid that is fine enough not to limit the resolution of the spectrometer. The radial and angular electron distributions are reconstructed from the accumulated image, using the maximum-entropy velocity Legendre reconstruction method (51).…”
Section: Methodsmentioning
confidence: 99%
“…In the main detector chamber, the He droplet beam crosses the synchrotron beam perpendicularly in the center of a combined VMI and time-of-flight (TOF) detector. By detecting either electrons or ions with the VMI detector in coincidence with the corresponding particles of opposite charge with the TOF detector, we obtain either ion mass-correlated electron spectra or mass-selected ion kinetic energy (KE) distributions by Abel inversion of the VMIs [20]. The XUV photon energy is tuned near the first excited level of He + , hν E(He + * , n = 2) = 65.4 eV [2].…”
mentioning
confidence: 99%
“…The instrument is not configured for slice imaging [19,32] and image reconstruction was performed using a polar onion peeling algorithm developed by Roberts et al. [33] We also used the maximum entropy method of Dick [34] which we find to perform more reliably especially at low signal intensities or in identifying minor dissociation channels.…”
Section: Methodsmentioning
confidence: 99%