Konstantin Ladutenko 7 年之前
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      main.tex

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main.tex

@@ -245,7 +245,10 @@ distributions in silicon nanoparticle around a magnetic resonance.}
 On the other hand, plasma explosion imaging technique has been used to
 observe electron-hole plasmas (EHP), produced by femtosecond lasers,
 inside nanoparticles~\cite{Hickstein2014}. Particularly, a strongly
-localized EHP in the front side of NaCl nanocrystals of $R = 100$ nm
+localized EHP in the front side~\footnote{The incident wave propagate
+  in positive direction of $z$ axis. Geometric center of the nanoparticle is
+  located at $z=0$, front side corresponds to nanoparticle volume with
+$z>0$ and back side for $z<0$} of NaCl nanocrystals of $R = 100$ nm
 was revealed. The forward ejection of ions in this case was attributed
 to a nanolensing effect inside the nanoparticle and the intensity
 enhancement as low as $10\%$ on the far side of the nanoparticle. Much
@@ -527,19 +530,21 @@ license.
 %\subsection{Effect of the irradiation intensity on EHP generation}
 
  Firstly, we analyze Mie coefficients (Fig.~\ref{mie-fdtd}(b) ) and
- the intensity distribution inside the non-excited
- Si nanoparticle as a function of its size for a fixed laser
- wavelength $\lambda = 800$ nm.  We introduce $G_I$ factor of
-   asymmetry, corresponding to difference between the volume integral of
-   intensity in the front side of the nanoparticle to that in the back
-   side normalized to their sum:
-   $G_I = (I^{front}-I^{back})/(I^{front}+I^{back})$, where
-   $I^{front}=\int_{(z>0)}|E|^2d{\mathrm{v}}$ and
-   $I^{back}=\int_{(z<0)} |E|^2d{\mathrm{v}}$.  Fig.~\ref{mie-fdtd}(b)
- shows the $G$ factor 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 $G_I > 0$. The behavior changes near the size resonance value,
+ the intensity distribution inside the non-excited Si nanoparticle as
+ a function of its size for a fixed laser wavelength $\lambda = 800$
+ nm.  We introduce $G_I$ factor of asymmetry, corresponding to
+ difference between the volume integral of intensity in the front side
+ of the nanoparticle to that in the back side normalized to their sum:
+ $G_I = (I^{front}-I^{back})/(I^{front}+I^{back})$, where
+ $I^{front}=\int_{(z>0)}|E|^2d{\mathrm{v}}$ and
+ $I^{back}=\int_{(z<0)} |E|^2d{\mathrm{v}}$. The factor $G_{I^2}$ was
+ introduced in a similar way using volume integrals of squared
+ intensity as a better option to predict EHP asymmetry due to
+ 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
+ $G_I > 0$. 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