SAMOP 2021 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 8: Ultra-cold plasmas and Rydberg systems (joint session A/Q)
Q 8.3: Poster
Tuesday, September 21, 2021, 16:30–18:30, P
Reconstructing three-dimensional density distributions from absorption images — Henrik Zahn1, •Maximilian Klaus Müllenbach2, Titus Franz2, Clément Hainaut2, Gerhard Zürn2, and Matthias Weidemüller2 — 1Institut für Laserphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany — 2Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany
We present a novel method to reconstruct a three-dimensional density distribution from its two-dimensional projection in a suitably chosen direction as long as the distribution has an a-priori known continuous symmetry. Our method extends the well-known Abel transform for distributions with axial or spherical symmetry to distributions with more general continuous symmetries. A-priori knowledge of the present symmetries allows us to solve the inversion problem by finding the density distribution’s values along its isolines. We apply our method to two distinct settings, the first one being such that Abel inversion can be applied, i.e. rotational symmetry about an axis perpendicular to the integration direction. In the second setting we apply our method to study excitation dynamics of Rydberg atoms, featuring a complex symmetry determined by the cigar-like shape of the ground state density distribution and the axially symmetric excitation laser, angled at 45∘ with respect to the ground state symmetry axis.