Hannover 2013 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 30: Poster: Interaction with VUV and X-ray light

A 30.6: Poster

Mittwoch, 20. März 2013, 16:00–18:30, Empore Lichthof

Conditions for orientation recovery using diffusion map — •Martin Winter, Ulf Saalmann, and Jan-Michael Rost — Max-Planck-Institut für Physik komplexer Systeme, Dresden

Upcoming X-ray free electron lasers offer the potential of single-molecule coherent diffractive imaging without prior crystallization of the molecule. Since the molecules are in the gas phase, their orientations vary from shot to shot and the averaging of faint images from similar orientations requires a reliable orientation recovery of each image.

Here we show that such an orientation recovery using diffusion map [1] works only under certain conditions. We apply diffusion map to ensembles of unorientated diffraction patterns and to coordinates of points in three dimensional space and quantify when orientation recovery breaks down. For a better understanding we investigate the metric underlying the mappings from orientations to diffraction patterns and coordinates, respectively.

[1] Optics Express, Vol. 20, Issue 12, pp. 12799-12826 (2012)