a Department of Physics, Beijing University, Beijing 100871, China; b Department of Neurosurgery, Institute of Clinic, China-Japan Friendship Hospital, Beijing 100029, China; c Hemorheology Department, Institute of Clinic, China-Japan Friendship Hospital, Beijing 100029, China
Abstract Using the transport theory to describe the near infrared light propagating in tissue with finite parallel-plane geometry, and taking the zero-boundary condition, we obtain the analytical expression of average photon density and Green's function incorporating the boundary effects in the homogeneous tissure. Making use of perturbation theory we also obtain the analytical expression of scattered wave induced by the heterogeneity, and present the 2-dimensional spatial transform of scattered wave with respect to transverse coordinate. If the information of heterogeneity on depth and thickness is available, diffraction tomography formula is presented to save the time of image reconstruction; if the information is unknown, we suggest to obtain the inhomogeneous function from the one-dimensional integral equation of 2-dimensional spatial transform of scattered wave applying the direct matrix method or iterative method for image reconstruction. This approach avoids directly solving three-dimensional integral equation of scattered wave. In our proposed approach the strong points of the direct matrix method, iterative method, and diffraction tomography are fully combined.
Received: 05 July 1999
Accepted manuscript online:
Infrared-induced temperature distributions of solid D2 ices Bi Peng (毕鹏), Xie Duan (谢端), Lin Wei (林伟), Wang Kai (王凯), Liu Jiang-Ping (刘江平), Tang Yong-Jian (唐永建), Yang Xiang-Dong (杨向东), Lei Hai-Le (雷海乐). Chin. Phys. B, 2013, 22(3): 034401.
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