Tomography formula for biochemical imaging of thin tissue with diffuse-photon density waves

An Approach to Biochemical Imaging of Heterogeneity in the Bio-tissue Simultaneously Using the Data of Reflectance and Transmittance of Diffuse-Photon Density Waves

“…The real tissues are finite, however, to our knowledge, in the reported techniques, the infinite model [4−6] or semiinfinite model [8] is applied to describe the geometry of thick tissues. Taking infinite model, [4−6] the boundary effects are lost, however the boundary effects influence the final imaging quality.…”

“…Taking infinite model, [4−6] the boundary effects are lost, however the boundary effects influence the final imaging quality. [6] Taking semi-infinite model, [8] the information carried in reflected light is dropped off. So, for our aim, we take the finite model shown in Fig.…”

“…In the weakly heterogeneous tissue, as a photon density wave U ac0 incident on the heterogeneous zone, scattered wave δU ac is aroused. Using the standard perturbation theory, [18] δU ac satisfies the following differential equation and integral equation [5,8,18] ∇ 2 δU ac − k 2 0 δU ac −…”

“…[1−3] Many techniques for imaging with diffuse light have been developed. [4−7] Both the forward diffuse light and the backward diffuse light carry the information of tissues, nevertheless, in these techniques only the backward light is used (for example, imaging of heterogeneity at the surface of thick tissue with photon-density wave [7] ), or only the forward light is applied (for example, diffraction tomography for imaging with diffuse-photon density waves [6] ). In using the reported techniques, [4−6] the priori knowledge of heterogeneity is needed.…”