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27 February 2009 A hybrid P1-DP0 diffusion theory for optical imaging
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In optical imaging, although the standard P1 diffusion theory is widely used, its angular flux at boundary is discontinuous, and this model is not incapable of exactly modeling light transport in biological tissue with partially-reflective boundary. In this work, we present a hybrid P1-DP0 (P1 spherical harmonics-double DP0 spherical harmonics) diffusion theory in 3D environment, which effectively interpolates between the P1 and DP0 approximation by a space-dependent weight factor α(r) that controls the local angular approximation. Comparing to the P1 model, the solutions of our model are consistently accurate over a broad range of optical properties. Moreover, with the same reduced scattering and absorption properties, the hybrid model for high anisotropic scattering which is the common case for mammal tissue is more accurate than the low one. Finally, this theory is validated by Monte Carlo simulations.
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Kai Liu, Jie Tian, Chenghu Qin, Dan Liu, Xin Yang, and Min Xu "A hybrid P1-DP0 diffusion theory for optical imaging", Proc. SPIE 7262, Medical Imaging 2009: Biomedical Applications in Molecular, Structural, and Functional Imaging, 72622E (27 February 2009);

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