Velocity map imaging (VMI) is used in mass spectrometry and in angle resolved photo-electron spectroscopy to determine the lateral momentum distributions of charged particles accelerated towards a detector. VM-images are composed of projected Newton spheres with a common centre. The 2D images are usually evaluated by a decomposition into base vectors each representing the 2D projection of a set of particles starting from a centre with a specific velocity distribution. We propose to evaluate 1D projections of VM-images in terms of 1D projections of spherical functions, instead. The proposed evaluation algorithm shows that all distribution information can be retrieved from an adequately chosen set of 1D projections, alleviating the numerical effort for the interpretation of VM-images considerably. The obtained results produce directly the coefficients of the involved spherical functions, making the reconstruction of sliced Newton spheres obsolete.
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March 2013
Research Article|
March 01 2013
Charged particle velocity map image reconstruction with one-dimensional projections of spherical functions
Thomas Gerber;
Thomas Gerber
a)
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Yuzhu Liu;
Yuzhu Liu
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Gregor Knopp;
Gregor Knopp
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Patrick Hemberger;
Patrick Hemberger
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Andras Bodi;
Andras Bodi
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Peter Radi;
Peter Radi
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Yaroslav Sych
Yaroslav Sych
Molecular Dynamics Group,
Paul Scherrer Institut
, 5232 Villigen, Switzerland
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Rev. Sci. Instrum. 84, 033101 (2013)
Article history
Received:
December 19 2012
Accepted:
February 11 2013
Citation
Thomas Gerber, Yuzhu Liu, Gregor Knopp, Patrick Hemberger, Andras Bodi, Peter Radi, Yaroslav Sych; Charged particle velocity map image reconstruction with one-dimensional projections of spherical functions. Rev. Sci. Instrum. 1 March 2013; 84 (3): 033101. https://doi.org/10.1063/1.4793404
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