Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium

The problem of probing of a nonuniform medium mimicking biological tissue with an ultrashort light pulse is under consideration. Pulse propagation through the medium is described by the time-dependent transport equation which is solved with a grid algorithm. The solution technique relies on analytical representation of nonscattered light intensity and hemi-analytical method of single-scattered light intensity calculation. Numerical results obtained both by the grid algorithm and Monte-Carlo method are presented.