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. Express 15, 9954 (2007) [CrossRef]  ], 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.

© 2016 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Holography with extended reference by autocorrelation linear differential operation

Manuel Guizar-Sicairos and James R. Fienup
Opt. Express 15(26) 17592-17612 (2007)

Accurate 3D tracking and size measurement of evaporating droplets using in-line digital holography and “inverse problems” reconstruction approach

Mozhdeh Seifi, Corinne Fournier, Nathalie Grosjean, Loic Méès, Jean-Louis Marié, and Loic Denis
Opt. Express 21(23) 27964-27980 (2013)

Regularized Newton methods for x-ray phase contrast and general imaging problems

Simon Maretzke, Matthias Bartels, Martin Krenkel, Tim Salditt, and Thorsten Hohage
Opt. Express 24(6) 6490-6506 (2016)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (7)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription