Conservative Finite-Difference Scheme and Two-Stage Iteration Process of its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

@article{Trofimov2018ConservativeFS,
  title={Conservative Finite-Difference Scheme and Two-Stage Iteration Process of its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse},
  author={Vyacheslav A. Trofimov and Maria M. Loginova and Vladimir A. Egorenkov},
  journal={Communications in Computational Physics},
  year={2018},
  volume={23},
  pages={1512-1533}
}
In this paper we develop conservative finite-difference schemes (FDS) for the process of femtosecond pulse interaction with semiconductor. This process is described by the set of 2D dimensionless differential equations concerning concentrations of both free electrons and ionized donors, and potential of electric field, induced by laser pulse and laser beam intensity changing. The electron mobility, electron diffusion, nonlinear dependence of absorption coefficient on semiconductor… 
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References

SHOWING 1-10 OF 46 REFERENCES
Time-dependent propagation of high energy laser beams through the atmosphere
The computation of time-dependent three-space-dimensional laser beam propagation is described. The methods are applicable to the propagation of high energy laser beams through the atmosphere in the
Influence of external electric field on laser-induced wave process occurring in semiconductor under the femtosecond pulse acting
We analyze laser-induced periodic structures developing in a semiconductor under both femtosecond pulse acting and external electric field action. These structures are appeared due to optical
Helical auto-waves of electron-hole plasma in semiconductor induced by femtosecond pulse at presence of external electric field
We analyze laser-induced periodic structure developing in a semiconductor under the condition of both optical bistability existence and external electric field presence. Optical bistability occurs
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions
This paper adresses the construction and study of a Crank-Nicolson-type discretization of the two-dimensional linear Schrödinger equation in a bounded domain Ω with artificial boundary conditions set
Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations: Two-dimensional case.
TLDR
This paper aims to design local absorbing boundary conditions (LABCs) for the two-dimensional nonlinear Schrödinger equations on a rectangle by extending the unified approach by using the (1,1)-Padé approximation to the kinetic term and also unite it with the nonlinear term.
Simulation of ultrafast switching of infrared radiation by laser-produced semiconductor plasma
A comprehensive mathematical model of the physics involved in laser switching, its analytical solution for the linear case, and a computer code capable of simulating the process are presented. The
Nonlinear structures: Cnoidal, soliton, and periodical waves in quantum semiconductor plasma
Properties and emerging conditions of various nonlinear acoustic waves in a three dimensional quantum semiconductor plasma are explored. A plasma fluid model characterized by degenerate pressures,
Amplitude modulation of electron plasma oscillations in a dense electron-hole plasma
By using a quantum hydrodynamic model, the amplitude modulation of electron plasma oscillations (EPOs) in an unmagnetized dense electron-hole (e-h) quantum plasma is investigated. The standard
A splitting method for a backward parabolic equation with time-dependent coefficients
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