Title
Transport of intensity phase retrieval of arbitrary wave fields including vortices Transport of intensity phase retrieval of arbitrary wave fields including vortices
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
New York, N.Y. ,
Subject
Physics
Source (journal)
Physical review letters. - New York, N.Y.
Volume/pages
111(2013) :17 , p. 1-5
ISSN
0031-9007
Article Reference
173902
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/b4aa3c/1fc5f2c1.pdf
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