• Infrared and Laser Engineering
  • Vol. 51, Issue 2, 20210907 (2022)
Xiaojie Liao, Suying Lin, and Bing Han
Author Affiliations
  • School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
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    DOI: 10.3788/IRLA20210907 Cite this Article
    Xiaojie Liao, Suying Lin, Bing Han. Evolution mechanism of transient optical properties of ultrafast laser-induced monocrystalline silicon[J]. Infrared and Laser Engineering, 2022, 51(2): 20210907 Copy Citation Text show less
    Variation of electron temperature with time (a) and lattice temperature with time (b) under subpicosecond laser irradiation with energy density of 0.25, 0.28, 0.30, 0.35, 0.40 J/cm2 and pulse width of 430 fs; Variation of electron temperature with time (c) and lattice temperature with time (d) under picosecond laser irradiation with energy density of 0.20, 0.30, 0.38, 0.41, 0.42 J/cm2 of 8 ps
    Fig. 1. Variation of electron temperature with time (a) and lattice temperature with time (b) under subpicosecond laser irradiation with energy density of 0.25, 0.28, 0.30, 0.35, 0.40 J/cm2 and pulse width of 430 fs; Variation of electron temperature with time (c) and lattice temperature with time (d) under picosecond laser irradiation with energy density of 0.20, 0.30, 0.38, 0.41, 0.42 J/cm2 of 8 ps
    Variation of electron temperature with time under laser irradiation with pulse width of 430, 700, 1000, 1200, 1500 fs and energy density of 0.35 J/cm2
    Fig. 2. Variation of electron temperature with time under laser irradiation with pulse width of 430, 700, 1000, 1200, 1500 fs and energy density of 0.35 J/cm2
    Variation of real and imaginary parts of dielectric constant with time under the action of pulse width of 8 ps and pulse energy density of 0.28 J/cm2
    Fig. 3. Variation of real and imaginary parts of dielectric constant with time under the action of pulse width of 8 ps and pulse energy density of 0.28 J/cm2
    Under laser irradiation with pulse width of 430 fs and 8 ps respectively, (a) change of peak carrier number density and the real part of peak dielectric constant on monocrystalline silicon surface with the change of incident laser energy density; (b) Change of peak refractive index and peak extinction coefficient on monocrystalline silicon surface with the change of incident laser energy density
    Fig. 4. Under laser irradiation with pulse width of 430 fs and 8 ps respectively, (a) change of peak carrier number density and the real part of peak dielectric constant on monocrystalline silicon surface with the change of incident laser energy density; (b) Change of peak refractive index and peak extinction coefficient on monocrystalline silicon surface with the change of incident laser energy density
    Changes of refractive index and extinction coefficient of silicon surface with pulse width when energy density is 0.28 J /cm2 and 0.31 J /cm2, respectively
    Fig. 5. Changes of refractive index and extinction coefficient of silicon surface with pulse width when energy density is 0.28 J /cm2 and 0.31 J /cm2, respectively
    QuantitySymbolValue
    Electron-hole pair heat conductivity[16]KC/W·(m·K)−17.1×10−3TC−0.5552
    Lattice heat conductivity[16]KL/W·(m·K)−11.585×105TL−1.23
    Carrier heat conductivity[16]CC/J·(m3·K)−13NkB
    Lattice heat capacity[16]CL/J·(m3·K)−11.978×106+354TL−3.68×106/TL2
    Auger recombination coefficient[16]γ/m6·s−13.8×10−43
    Ambipolar diffusion coefficientD/ms−1(300×1.8×10−3)/TL
    Impact ionization coefficient[16]θ/s−13.6×1010exp(−1.5Eg/(kBTC))
    Effective electron mass[14]m*/kg 9.1×10−31(0.15+3.1×10−5TC)
    Energy relaxation time[16]τe/s 0.5×10−12{1+[N/(2×1027)]2}
    Interband absorption (532 nm)[17]α/m−15.02×105exp(TL/430)
    Two-photon absorption (532 nm)[18]β/s·m·J−10
    Free-carrier absorption cross section (532 nm)[19]Θ/m20
    Interband absorption (800 nm)[16]α/m−11.12×105exp(TL/430)
    Two-photon absorption (800 nm)[16]β/s·m·J−19×10−11
    Free-carrier absorption cross section (800 nm)[16]Θ/m22.9×10−22(TL/300)
    Latent heat of melting[16]Lm /J·m24206×106
    Latent heat of evaporation[16]Lv /J·m232020×106
    Electron heat capacity[16]Ce/J·(m3·K)−1100Te
    Lattice heat capacity[16]Cl/J·(m3·K)−11.06×106×(3.005−2.629×10−4Tl)
    Electron heat conductivity[16]Ke/W·(m·K)−167
    Table 1. Model parameters of monocrystalline silicon
    Xiaojie Liao, Suying Lin, Bing Han. Evolution mechanism of transient optical properties of ultrafast laser-induced monocrystalline silicon[J]. Infrared and Laser Engineering, 2022, 51(2): 20210907
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