Transport of Intensity Phase Retrieval of Arbitrary Wave Fields Including Vortices

被引:45
作者
Lubk, Axel [1 ,2 ]
Guzzinati, Giulio [2 ]
Boerrnert, Felix [1 ]
Verbeeck, Jo [2 ]
机构
[1] Tech Univ Dresden, Speziallab Triebenberg, D-01062 Dresden, Germany
[2] Univ Antwerp, EMAT, B-2020 Antwerp, Belgium
关键词
ELECTRON; DISLOCATIONS; IMAGE;
D O I
10.1103/PhysRevLett.111.173902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The phase problem can be considered as one of the cornerstones of quantum mechanics intimately connected to the detection process and the uncertainty relation. The latter impose fundamental limits on the manifold phase reconstruction schemes invented to date, in particular, at small magnitudes of the quantum wave. Here, we show that a rigorous solution of the transport of intensity reconstruction (TIE) scheme in terms of a linear elliptic partial differential equation for the phase provides reconstructions even in the presence of wave zeros if particular boundary conditions are given. We furthermore discuss how partial coherence hampers phase reconstruction and show that a modified version of the TIE reconstructs the curl-free current density at arbitrary (in) coherence. Our results open the way for TIE-based phase retrieval of arbitrary wave fields, eventually containing zeros such as phase vortices.
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收藏
页数:5
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