A method for numerical reconstruction of digitally recorded holograms with variable magnification is presented. The proposed strategy allows for smaller, equal, or larger magnification than that achieved with Fresnel transform by introducing the Bluestein substitution into the Fresnel kernel. The magnification is obtained independent of distance, wavelength, and number of pixels, which enables the method to be applied in color digital holography and metrological applications. The approach is supported by experimental and simulation results in digital holography of objects of comparable dimensions with the recording device and in the reconstruction of holograms from digital in-line holographic microscopy.
© 2010 Optical Society of America
Original Manuscript: September 10, 2010
Revised Manuscript: October 8, 2010
Manuscript Accepted: October 8, 2010
Published: November 12, 2010
John F. Restrepo and Jorge Garcia-Sucerquia, "Magnified reconstruction of digitally recorded holograms by Fresnel–Bluestein transform," Appl. Opt. 49, 6430-6435 (2010)