Konstantin Ladutenko 7 年之前
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共有 1 个文件被更改,包括 3 次插入3 次删除
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      main.tex

+ 3 - 3
main.tex

@@ -412,7 +412,7 @@ $\alpha = 21.2$~cm$^2$/J is the avalanche ionization coefficient
 \cite{Pronko1998} at the wavelength $800$~nm in air. As we have noted,
 free carrier diffusion is neglected during and shortly after the laser
 excitation \cite{Van1987, Sokolowski2000}. In particular, from the
-Einstein formula $D = k_B T_e \tau/m^* \approx (1\div2)\cdot{10}^{-3}$ m$^2$/s
+Einstein formula $D = k_B T_e \tau/m^* \approx (1$--$2)\cdot{10}^{-3}$ m$^2$/s
 ($k_B$ is the Boltzmann constant, $T_e$ is the electron temperature,
 $\tau=1$~\textit{fs} is the collision time, $m^* = 0.18 m_e$ is the effective
 mass), where $T_e \approx 2*{10}^4$ K for $N_e$ close to $N_{cr}$ \cite{Ramer2014}. It
@@ -580,7 +580,7 @@ license.
  first optical cycle.
  
  \textit{'Stage~2'} corresponds to further electric field oscillations
- ($t \approx 2\div15$) leading to the unstationery EHP evolution
+ ($t \approx 2$--$15$) leading to the unstationery EHP evolution
  with a maximum of the EHP distribution in the front side of the Si NP
  owing to the starting excitation of MD and MQ resonances that require more
  time to be excited. At this stage, the density of EHP ($N_e < 10^{20}$~cm$^2$)
@@ -595,7 +595,7 @@ license.
  change the local optical properties. Below the MD
  resonance $R \approx 100$~nm, the EHP is mostly localized in the
  front side of the NP as shown in Fig.~\ref{plasma-grid}(c). The highest
- stationary asymmetry factor $G_{N_e} \approx 0.5\div0.6$ is achieved
+ stationary asymmetry factor $G_{N_e} \approx 0.5$--$0.6$ is achieved
  in this case. At the MD resonance conditions, the EHP
  distribution has a toroidal shape and is much closer to the
  homogeneous distribution. In contrast, above the MD