Reconstruction of spatial, phase, and coherence properties of light

2003/09/30 by Miroslav Ježek, M. Jezek, Z. Hradil · 13 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Fluorescence Microscopy Techniques #Advanced X-ray Imaging Techniques #Coherence (philosophical gambling strategy) #Computer science #Computer vision #Diffraction #Digital Holography and Microscopy #Image (mathematics) #Intensity (physics) #Iterative reconstruction #Limit (mathematics) #Mathematical analysis #Mathematics #Noise (video) #Optics #Phase (matter) #Physics #Quantum #Quantum mechanics #Spatial coherence #Spatial correlation #Spatial frequency #Statistical physics #Statistics #physics.gen-ph #physics.optics #quant-ph

paper · pdf · doi:10.1364/josaa.21.001407

published in Journal of the Optical Society of America A 21(8), 1407 (Optica Publishing Group) · 10 pages, 5 figures

arxiv created 2003/09/30 · openalex publication_date 2004/08/01 · arxiv updated 2011/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Image reconstruction of partially coherent light is interpreted as quantum-state reconstruction. An efficient method based on the maximum-likelihood estimation is proposed for acquiring information from blurred intensity measurements affected by noise. Connections with incoherent-image restoration are pointed out. The feasibility of the method is demonstrated numerically. Spatial and correlation details significantly below the diffraction limit are revealed in the reconstructed pattern.

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