Undersampled digital holography

• Published in: Optics express Vol. 17; no. 18; pp. 15842 - 15852
• Main Authors: Demoli, Nazif, Halaq, Hanan, Sariri, Kristina, Torzynski, Marc, Vukicevic, Dalibor
• Format: Journal Article
• Language: English
• Published: United States 31-08-2009
• ISSN: 1094-4087; 1094-4087
• DOI: 10.1364/OE.17.015842

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.