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An angular spectrum algorithm is presented for fast, near-field diffraction tomographic imaging with diffuse photon density waves in highly scattering media. A general relation in K-space is derived that connects the spatial variations of the optical properties of heterogeneities to the spatial spectra of the measured scattered diffuse photon density waves. The theory is verified with experimental results. We further describe an approach to reconstruct the absorption and scattering simultaneously. We also present how to incorporate boundary conditions into this angular spectrum algorithm for a turbid medium of finite size, in particular, the slab medium.
Xing De Li,Deva N. Pattanayak,Turgut Durduran,Joseph P. Culver,Britton Chance, andArjun G. Yodh
"Diffraction tomography: finite media and simultaneous reconstruction of absorption and scattering coefficients", Proc. SPIE 3863, 1999 International Conference on Biomedical Optics, (17 September 1999); https://doi.org/10.1117/12.364426
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Xing De Li, Deva N. Pattanayak, Turgut Durduran, Joseph P. Culver, Britton Chance, Arjun G. Yodh, "Diffraction tomography: finite media and simultaneous reconstruction of absorption and scattering coefficients," Proc. SPIE 3863, 1999 International Conference on Biomedical Optics, (17 September 1999); https://doi.org/10.1117/12.364426