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We present a method for inverting charged particle velocity map images whichincoorporates a non-uniform detection function. This method is applied to thespecific case of extracting molecular axis alignment from Coulomb explosionimaging probes in which the probe itself has a dependence on molecularorientation which often removes cylindrical symmetry from the experiment andprevents the use of standard inversion techniques for the recovery of themolecular axis distribution. By incorporating the known detection function, itis possible to remove the angular bias of the Coulomb explosion probe processand invert the image to allow quantitative measurement of the degree ofmolecular axis alignment.

Velocity map imaging with non-uniform detection: quantitative molecular axis alignment measurements via Coulomb explosion imaging