A method to reconstruct full three-dimensional photofragment distributions from their two-dimensional (2D) projection onto a detection plane is presented, for processes in which the expanding Newton sphere has cylindrical symmetry around an axis parallel to the projection plane. The method is based on: (1) onion-peeling in polar coordinates [Zhao et al, Rev. Sci. Instrum. 73, 3044 (2002)] in which the contribution to the 2D projection from events outside the plane bisecting the Newton sphere are subtracted in polar coordinates at incrementally decreasing radii; and (2) ideas borrowed from the basis set expansion (pBASEX) method in polar coordinates [Garcia et al, Rev. Sci. Instrum. 75, 4989 (2004)], which we use to generate 2D projections at each incremental radius for the subtraction. Our method is as good as the pBASEX method in terms of accuracy, is devoid of centerline noise common to reconstruction methods employing Cartesian coordinates; and it is computationally cheap allowing images to be reconstructed as they are being acquired in a typical imaging experiment.
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Research Article|
May 04 2009
Toward real-time charged-particle image reconstruction using polar onion-peeling
G. M. Roberts;
G. M. Roberts
Department of Chemistry,
Durham University
, Durham DH1 3LE, United Kingdom
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J. L. Nixon;
J. L. Nixon
Department of Chemistry,
Durham University
, Durham DH1 3LE, United Kingdom
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J. Lecointre;
J. Lecointre
Department of Chemistry,
Durham University
, Durham DH1 3LE, United Kingdom
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E. Wrede;
E. Wrede
Department of Chemistry,
Durham University
, Durham DH1 3LE, United Kingdom
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J. R. R. Verlet
J. R. R. Verlet
Department of Chemistry,
Durham University
, Durham DH1 3LE, United Kingdom
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Rev. Sci. Instrum. 80, 053104 (2009)
Article history
Received:
March 17 2009
Accepted:
April 09 2009
Citation
G. M. Roberts, J. L. Nixon, J. Lecointre, E. Wrede, J. R. R. Verlet; Toward real-time charged-particle image reconstruction using polar onion-peeling. Rev. Sci. Instrum. 1 May 2009; 80 (5): 053104. https://doi.org/10.1063/1.3126527
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