2008/11/26 by Lucia Florescu, John C. Schotland, Vadim A. Markel · 46 citations
Engineering · Mathematics · Medicine · Physics and Astronomy · #Absorption (acoustics) #Computational physics #Intensity (physics) #Light scattering #Materials science #Mathematical analysis #Mathematics #Mesoscopic physics #Optical Coherence Tomography Applications #Optical Imaging and Spectroscopy Techniques #Optics #Photoacoustic and Ultrasonic Imaging #Physics #Quantum mechanics #Radiative transfer #Radon transform #Scattering #Tomography #physics.med-ph #physics.optics
paper · pdf · doi:10.1103/physreve.81.016602
published in Physical Review E 81(1), 016602 (American Physical Society) · This is a sequel to physics/0703118
arxiv created 2008/11/26 · openalex publication_date 2010/01/05 · arxiv updated 2011/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report theory and numerical simulations that demonstrate the feasibility of simultaneous reconstruction of the three-dimensional scattering and absorption coefficients of a mesoscopic system using angularly resolved measurements of scattered light. Image reconstruction is based on the inversion of a generalized (broken ray) Radon transform relating the scattering and absorption coefficients of the medium to angularly resolved intensity measurements. Although the single-scattering approximation to the radiative transport equation (RTE) is used to devise the image reconstruction method, there is no assumption that only singly scattered light is measured. That is, no physical mechanism for separating single-scattered photons from the rest of the multiply-scattered light (e.g., time gating) is employed in the proposed experiments. Numerical examples of image reconstruction are obtained using samples of optical depth of up to 3.2. The forward data are obtained from numerical solution of the RTE, accounting for all orders of scattering.