<title>Calculation of shadows induced by macroinhomogeneities located inside a strongly scattering object using integration over the average photon path</title>

Abstract

The trajectory approach to the problem of the optical imaging through the strongly scattering media with given macroinhomogeneities was considered. It was shown, that the shadow inside an object with any shape can be calculated by the representation of the photon mean path integrals. The influence of the object's boundary to the photon path statistical characteristics was investigated. The corresponding graphical dependencies conveniently illustrating trajectory alterations were represented. A comparative study of the three basic boundary geometry such as semi-infinite medium, flat layer and rectangular sector showed that the trajectory R((tau) ) of the photon statistical distribution center can be approximated by the three-segment polygonal line and the photon path root-mean- square deviation (Delta) ((tau) ) and the value d(tau) /dl ((tau) ), which is in inverse proportion to the speed of the distribution center movement can be replaced by the simplified functions in general case.