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Modeling the ultrafast optical response of a multilayered sample subject to transient distributed perturbations

A method for simulating the transient optical response of a multilayered sample subject to a spatially and temporally varying field distribution is presented. The transient optical response of a sample probed in the reflection configuration, is characterized by the 2x2 Jones transient reflection matrix: ▵R(t)-R-1 (TRM). Signals in transient reflectometry, interferometry, and polarimetry measurements can be readily extracted from the TRM. A matrix formalism based on 4x4 transfer matrix is used for calculating the TRM. The formalism facilitates the simulation of transient phenomena in anisotropic stratified samples in the presence of non-homogeneous perturbing fields like electric, magnetic, and strain fields. Various areas of experimental research may benefit of this matrix formalism: picosecond acoustics, electro-optic sampling, magneto-optic sampling, and others area of research involving fast/ultrafast phenomena in multilayered samples studied with the pump-probe technique.