Direct inversion of digital 3D Fraunhofer holography maps

Applied Optics
Sergei G Podorov, Eckhart Förster

Abstract

Differential Fourier holography (DFH) gives an exact mathematical solution of the inverse problem of diffraction in the Fraunhofer regime. After the first publication [Opt. Express15, 9954 (2007)], DFH was successfully applied in many experiments to obtain amplitude and phase information about two-dimensional images. In this paper, we demonstrate numerically the possibility to apply DFH also for investigation of unknown three-dimensional objects. The first simulation is made for a double-spiral structure plus a line as a reference object.

References

May 15, 1948·Nature·D GABOR
Dec 24, 2007·Optics Express·Manuel Guizar-Sicairos, James R Fienup
Aug 1, 1982·Applied Optics·J R Fienup
Sep 28, 2010·Physical Review Letters·Diling ZhuJoachim Stöhr
Sep 28, 2010·Physical Review Letters·D GauthierH Merdji
Sep 21, 2011·Ultramicroscopy·A J MorganL J Allen
Mar 16, 2012·Optics Express·Pengfei LanKatsumi Midorikawa
Dec 5, 2012·The Review of Scientific Instruments·M G HönnickeX-R Huang

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Citations

Apr 27, 2017·Scientific Reports·Konstantin M PavlovDavid M Paganin

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