[OPTICAL REVIEW Vol. 10, No. 5 (2003) 444-446]
© 2003 The Optical Society of Japan

Calculation of Photon Path Distribution Based on Photon Behavior Analysis in a Scattering Medium

Yukio UEDA, Kazuyoshi OHTA, Yutaka YAMASHITA and Yutaka TSUCHIYA

Central Research Laboratory, Hamamatsu Photonics K.K., 5000 Hirakuchi, Hamakita, Shizuoka 434-8601, Japan

(Received March 5, 2003; Accepted June 5, 2003)

We calculated the photon path distribution (PPD) in a scattering medium based on a theoretical analysis, which utilizes the relationship between the photon intensity and photon pathlength. This PPD is defined by local photon pathlengths for photons having total pathlengths of l between the light input points and detection points. The PPD of photons that consist of the impulse response at time t (=l/c) was calculated for a 2-D model. Precise analysis of photon migration in the scattering medium is essential in order to carry out image reconstruction of diffuse optical tomography (DOT). We show the PPD at time t (the total pathlength l=ct) and demonstrate its effectiveness. Our method for describing photon migration is intuitive and allows finding weight functions in DOT.

Key words: photon migration, pathlength, photon path distribution (PPD), weight function, DOT