ИСТИНА

We consider femtosecond laser pulse interaction with 2D semiconductor under the condition of field optical bistability occurrence. This is very promising phenomenon for the creation and developing of all-optical data processing. The optical bistability is based on semiconductor absorption coefficient dependence from strength of an electric field induced by a laser radiation. The laser pulse interaction with a semiconductor is described by the set of nonlinear differential equations concerning the electric field potential, and a free electron concentration, and ionized donor concentration. Laser pulse propagation in the semiconductor is described by either a nonlinear equation with respect to its intensity or the nonlinear Schrodinger equation. For a set of these equations we develop conservative finite-difference scheme. This finite-difference scheme is nonlinear one. To realize it we propose an original two-step iteration process, which is also conservative one on each iteration and allows to provide a calculation on long time interval with high accuracy. Therefore, our finite-difference scheme possesses an asymptotic stability property. This is very important feature because we have to do a calculation during very long time interval. An approach for the nonlinear finite-difference scheme realization can be easy generalized for multidimensional problem.