change

main.tex

@@ -521,7 +521,7 @@ license.
    (a, c, e) and time (b, d, f) for different Si nanoparticle radii
    (a, b) $R = 75$ nm, (c, d) $R = 100$ nm, (e, f) $R = 115$ nm. Pulse
    duration $50$~\textit{fs} (FWHM). Wavelength $800$ nm in air. (a, c, e)
-   Different stages of EHP evolution shown in \ref{fig2} are
+   Different stages of EHP evolution shown in Fig.~\ref{fig2} are
    indicated. (b, d, f) The temporal evolution of Gaussian beam
    intensity is also shown. Peak laser fluence is fixed to be $0.125$
    J/cm$^2$.}
@@ -543,17 +543,17 @@ license.
  two-photon absorption.  Fig.~\ref{mie-fdtd}(b) shows $G$ factors
  as a function of the nanoparticle size. For the nanoparticles of
  sizes below the first magnetic dipole resonance, the intensity is
- enhanced in the front side as in Fig. \ref{mie-fdtd}(c) and
+ enhanced in the front side as in Fig.~\ref{mie-fdtd}(c) and
  $G_I > 0$. The behavior changes near the size resonance value,
  corresponding to $R \approx 105$ nm. In contrast, for larger sizes,
  the intensity is enhanced in the back side of the nanoparticle as
- demonstrated in Fig. \ref{mie-fdtd}(d). In fact, the similar EHP
+ demonstrated in Fig.~\ref{mie-fdtd}(d). In fact, the similar EHP
  distributions can be obtained by applying Maxwell's equations coupled
  with the rate equation for relatively weak excitation
  $N_e \approx 10^{20}$ cm$^{-3}$. The optical properties do not change
  considerably due to excitation according to (\ref{Index}). Therefore,
  the excitation processes follow the intensity distribution. However,
- such coincidence was achieved in quasi-stationary conditions, when
+ such coincidence was achieved in quasi-stationary conditions, after the
  electric field made enough oscillations inside the Si NP. To achieve
  a qualitative description of the EHP distribution, we introduced
  another asymmetry factor
@@ -566,8 +566,8 @@ license.
  differs from $0$, this assumption could not be proposed. In what
  follows, we discuss the results of the numerical modeling revealing
  the EHP evolution stages during pulse duration shown in
- Fig. \ref{fig2} and the temporal/EHP dependent evolution of the
- asymmetry factor $G$ in Fig. \ref{fig3}.
+ Fig.~\ref{fig2} and the temporal/EHP dependent evolution of the
+ asymmetry factor $G$ in Fig.~\ref{fig3}.
 
 % Fig. \ref{Mie} demonstrates the temporal evolution of the EHP
 % generated inside the silicon nanoparticle of $R \approx 105$
@@ -614,7 +614,7 @@ license.
  shown in Figs.~\ref{fig2} and~\ref{fig2}. The first stage at the
  first optical cycle demonstrates the dominant electric dipole
  resonance effect on the intensity/EHP density distribution inside the
- NPs in Fig.~\ref{fig2}(a,e,j) and \ref{fig3}. The larger the NPs size
+ NPs in Fig.~\ref{fig2}(a,e,j) and~\ref{fig3}. The larger the NPs size
  is, the higher the NP asymmetry $G_{N_e}$ is achieved.
 
  \textit{'Stage 2'} corresponds to further electric field oscillations
@@ -632,7 +632,7 @@ license.
  influence the EHP evolution and strong diffusion rates but already
  enough to change the optical properties locally. Below the magnetic
  dipole resonance $R \approx 100$ nm, the EHP is mostly localized in
- the front side of the NP as shown in Fig. \ref{fig2}(c). The highest
+ the front side of the NP as shown in Fig.~\ref{fig2}(c). The highest
  stationary asymmetry factor \red{$G_{N_e} \approx 3-4$ (should be
    changed)} is achieved in this case. At the magnetic dipole
  resonance conditions, the EHP distribution has a toroidal shape and
@@ -652,7 +652,7 @@ license.
  $Re(\epsilon) \approx 0$ and to the electron plasma resonance, is
  overcome. Further irradiation leads to a decrease in the asymmetry
  parameter down to $G_{N_e} = 0$ for higher EHP densities, as one can
- observe in Fig. \ref{fig2}(d, h, l).
+ observe in Fig.~\ref{fig2}(d, h, l).
 
  As the EHP acquires quasi-metallic properties at stronger excitation
  $N_e > 5\cdot{10}^{21}$ cm$^{-3}$, the EHP distribution evolves
@@ -666,7 +666,7 @@ license.
  deeply subwavelength EHP regions due to high field localization. The
  smallest EHP localization and the larger asymmetry factor are
  achieved below the magnetic dipole resonant conditions for $R < 100$
- nm. Thus, the EHP distribution in Fig. \ref{fig2}(c) is optimal for
+ nm. Thus, the EHP distribution in Fig.~\ref{fig2}(c) is optimal for
  symmetry breaking in Si NP, as it results in the larger asymmetry
  factor $G_{N_e}$ and higher electron densities $n_e$. We stress here
  that such regime could be still safe for NP due to the very small