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Original Articles

Conservative finite-difference scheme for the 2D problem of femtosecond laser pulse interaction with kink structure of high absorption in semiconductor

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Pages 207-244 | Received 19 Sep 2017, Accepted 01 Jun 2018, Published online: 07 Jul 2018

Figures & data

Figure 1. Setup for computer simulation of the femtosecond pulse interaction with a semiconductor. Ex, Ey – external electric field strength (x, y are dimensionless spatial coordinates).

Figure 1. Setup for computer simulation of the femtosecond pulse interaction with a semiconductor. Ex, Ey – external electric field strength (x, y are dimensionless spatial coordinates).

Figure 2. Square root from the intensity distribution of incident pulse (a) and a distribution of square root from the intensity along y-coordinate at beam centre on x-coordinate (x=Lxc) (b).

Figure 2. Square root from the intensity distribution of incident pulse (a) and a distribution of square root from the intensity along y-coordinate at beam centre on x-coordinate (x=Lxc) (b).

Figure 3. Qualitative dependence of the absorption coefficient from the free-electron concentration at various values of the parameters multiplication ψξ.

Figure 3. Qualitative dependence of the absorption coefficient from the free-electron concentration at various values of the parameters multiplication ψξ.

Figure 4. Template of the mesh function definition.

Figure 4. Template of the mesh function definition.

Figure 5. Distribution of square root from laser pulse intensity |A|2 at time moment t = 0 (a),1.4 (b), 3.6(c), 5(d), 10(e), 20(f).

Figure 5. Distribution of square root from laser pulse intensity |A|2 at time moment t = 0 (a),1.4 (b), 3.6(c), 5(d), 10(e), 20(f).

Figure 6. Square root from beam profile |A|2 along y-coordinate at the beam axis on x-coordinate (x = 0.5) at time moment t = 0 (a), 1.4 (b), 3.6(c), 5(d), 10(e), 20(f).

Figure 6. Square root from beam profile |A|2 along y-coordinate at the beam axis on x-coordinate (x = 0.5) at time moment t = 0 (a), 1.4 (b), 3.6(c), 5(d), 10(e), 20(f).

Figure 7. Distribution of free-electron concentration n at time moment t = 3.2 (a), 3.4 (b), 3.6 (c), 4 (d), 5 (e), 10 (f).

Figure 7. Distribution of free-electron concentration n at time moment t = 3.2 (a), 3.4 (b), 3.6 (c), 4 (d), 5 (e), 10 (f).

Figure 8. Square root from beam profile |A|2 along y-coordinate at the beam axis on x-coordinate (x = 0.5) at time moment t = 1.4 (a), 3 (b), 3.6(c), 5(d), 10(e), 20(f).

Figure 8. Square root from beam profile |A|2 along y-coordinate at the beam axis on x-coordinate (x = 0.5) at time moment t = 1.4 (a), 3 (b), 3.6(c), 5(d), 10(e), 20(f).

Table 1. Invariants Q(tm) and Q¯¯(tm) values computed using formulas (79) and (184), correspondingly.