Open AccessTransport of Intensity imaging with higher order derivatives
Author(s) -
Laura Waller,
Lei Tian,
George Barbastathis
Publication year - 2010
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.18.012552
Subject(s) - phase retrieval , optics , intensity (physics) , computation , sensitivity (control systems) , phase (matter) , range (aeronautics) , noise (video) , computer science , light intensity , physics , algorithm , fourier transform , materials science , computer vision , image (mathematics) , quantum mechanics , electronic engineering , composite material , engineering
We demonstrate a method for improving the accuracy of phase retrieval based on the Transport of Intensity equation by using intensity measurements at multiple planes to estimate and remove the artifacts due to higher order axial derivatives. We suggest two similar methods of higher order correction, and demonstrate their ability for accurate phase retrieval well beyond the 'linear' range of defocus that TIE imaging traditionally requires. Computation is fast and efficient, and sensitivity to noise is reduced by using many images.