Resolution enhancement in digital holography by self-extrapolation of holograms

Abstract

It is generally believed that the resolution in digital holography is limited by the size of the captured holographic record. Here, we present a method to circumvent this limit by self-extrapolating experimental holograms beyond the area that is actually captured. This is done by first padding the surroundings of the hologram and then conducting an iterative reconstruction procedure. The wavefront beyond the experimentally detected area is thus retrieved and the hologram reconstruction shows enhanced resolution. To demonstrate the power of this concept, we apply it to simulated as well as experimental holograms.

11 pages, 6 figures, MATLAB code

References in corpus (2)

• Solution to the twin image problem in holography
• When holography meets coherent diffraction imaging

Cited by in corpus (12)

• Iterative phase retrieval for digital holography
• Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation
• Coherent microscopy at resolution beyond diffraction limit using post-experimental data extrapolation
• Inverted Gabor holography principle for tailoring arbitrary shaped three-dimensional beams
• Noninvasive imaging of three dimensional micro and nanostructures by topological methods
• Imaging outside the box: Resolution enhancement in X-ray coherent diffraction imaging by extrapolation of diffraction patterns
• Atomically resolved structural determination of graphene and its point defects via extrapolation assisted phase retrieval
• Analysis on image recovery for digital Fresnel hologram with aliased fringe generated from self-similarity of point spread function
• Resolution enhancement by extrapolation of coherent diffraction images: A quantitative study on the limits and a numerical study of non-binary and phase objects
• Optimization methods for in-line holography
• Gauging diffraction patterns: field of view and bandwidth estimation in lensless holography
• Phase retrieval methods applied to coherent imaging