title: Undersampled digital holography.
abstract: Acceptable signal recovery of the band-pass signals typically used in the off-axis digital holography systems is possible in the undersampling conditions. A typical system is considered in which the angle between two beams represents a variable parameter. For the given signal bandwidth and experimental conditions the hologram reconstruction is constrained by the sampling frequency of the array photo-detector. Reconstructions from the undersampled digital holograms are analyzed both theoretically and experimentally. It is shown how increasing the angle values beyond the Nyquist limits leads to repeatedly folding and inverting the reconstructed object image until the fading of the image. The phase point at the image fading and the non-overlapping intervals for correctly preserving the useful information are defined and evaluated. Amplitude distributions are analyzed on the example of the time-averaged holograms acquired for an oscillating membrane. Based on removing the zeroth-order reconstruction term, significant extensions of these intervals are also demonstrated.
authors.affiliation: Institute of Physics, Bijenicka cesta 46, PO Box 304, 10001 Zagreb, Croatia. demoli@ifs.hr
authors.forename: Nazif
authors.initials: N
authors.lastname: Demoli
authors.forename: Hanan
authors.initials: H
authors.lastname: Halaq
authors.forename: Kristina
authors.initials: K
authors.lastname: Sariri
authors.forename: Marc
authors.initials: M
authors.lastname: Torzynski
authors.forename: Dalibor
authors.initials: D
authors.lastname: Vukicevic