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Update on Overleaf.

k.ladutenko 7 years ago
parent
commit
97e9e546f9
1 changed files with 3 additions and 3 deletions
  1. 3 3
      main.tex

+ 3 - 3
main.tex

@@ -412,12 +412,12 @@ $\alpha = 21.2$~cm$^2$/J is the avalanche ionization coefficient
 \cite{Pronko1998} at the wavelength $800$~nm in air. As we have noted,
 \cite{Pronko1998} at the wavelength $800$~nm in air. As we have noted,
 free carrier diffusion is neglected during and shortly after the laser
 free carrier diffusion is neglected during and shortly after the laser
 excitation \cite{Van1987, Sokolowski2000}. In particular, from the
 excitation \cite{Van1987, Sokolowski2000}. In particular, from the
-Einstein formula $D = k_B T_e \tau/m^* \approx (1$--$2)\cdot{10}^{-3}$ 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,
 ($k_B$ 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
 $\tau=1$~\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
 mass), where $T_e \approx 2*{10}^4$ K for $N_e$ close to $N_{cr}$ \cite{Ramer2014}. It
 means that during the pulse duration ($\approx 50$~\textit{fs}) the diffusion
 means that during the pulse duration ($\approx 50$~\textit{fs}) the diffusion
-length will be around 5--10~nm for $N_e$ close to $N_{cr}$.
+length will be around 5$\,$--10~nm for $N_e$ close to $N_{cr}$.
 
 
 \begin{figure}[ht!] 
 \begin{figure}[ht!] 
 \centering
 \centering
@@ -570,7 +570,7 @@ license.
  20~\textit{fs} for the MD, and about 100~\textit{fs} for the MQ.
  20~\textit{fs} for the MD, and about 100~\textit{fs} for the MQ.
  According to these considerations, after few optical cycles taking
  According to these considerations, after few optical cycles taking
  place on a 10~\textit{fs} scale it results in the excitation of the
  place on a 10~\textit{fs} scale it results in the excitation of the
- low-\textit{Q} ED resonance, which dominates MD and МQ independently
+ low-\textit{Q} ED resonance, which dominates MD and MQ independently
  on the exact size of NPs. Moreover, during the first optical cycle
  on the exact size of NPs. Moreover, during the first optical cycle
  there is no multiple mode structure inside of NP, which results into
  there is no multiple mode structure inside of NP, which results into
  a very similar field distribution for all size of NP under
  a very similar field distribution for all size of NP under