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
Original Manuscript: December 22, 2005
Revised Manuscript: February 23, 2006
Manuscript Accepted: February 24, 2006
Vol. 1, Iss. 7 Virtual Journal for Biomedical Optics
Fucai Zhang, Giancarlo Pedrini, and Wolfgang Osten, "Reconstruction algorithm for high-numerical-aperture holograms with diffraction-limited resolution," Opt. Lett. 31, 1633-1635 (2006)