Abstract

A fast algorithm is proposed for the reconstruction of digital holograms that are recorded at high numerical aperture. The method directly evaluates the Rayleigh–Sommerfeld diffraction integral by use of a fast convolution algorithm. A shift parameter that accounts for the coordinate system’s transverse displacement of the object plane and the hologram plane is introduced in a discrete representation of the diffraction kernel. Combination of the samplings reconstructed with different shift values yields diffraction-limited resolution over the full field of view. The algorithm is suitable for various applications such as holographic microscopy and metrology. Simulation and experimental results are presented.

© 2006 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Application of up-sampling and resolution scaling to Fresnel reconstruction of digital holograms

Logan A. Williams, Georges Nehmetallah, Rola Aylo, and Partha P. Banerjee
Appl. Opt. 54(6) 1443-1452 (2015)

High-fidelity numerical realization of multiple-step Fresnel propagation for the reconstruction of digital holograms

Dayong Wang, Jie Zhao, Fucai Zhang, Giancarlo Pedrini, and Wolfgang Osten
Appl. Opt. 47(19) D12-D20 (2008)

General theoretical formulation of image formation in digital Fresnel holography

Pascal Picart and Julien Leval
J. Opt. Soc. Am. A 25(7) 1744-1761 (2008)

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 (5)

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 (6)

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