Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields |
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Authors: | Stern Adrian Javidi Bahram |
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Affiliation: | Electro-Optical Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel. stern@bgu.ac.il |
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Abstract: | We describe the recording conditions that, together with the appropriate numerical reconstruction process, permit high-lateral-resolution reconstruction of in-line digital holograms. By high resolution, we mean a resolution that is beyond the Nyquist frequency, which is achieved by common methods. The proposed method is based on a previously reported generalized sampling theory that presents the conditions to precisely reconstruct fields that in certain cases may be sampled with a sampling rate lower than the Nyquist rate. We examine the hologram-recording process in the Wigner space. On the basis of this analysis, we demonstrate a simple high-resolution numerical reconstruction method. |
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