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@@ -526,8 +526,7 @@ license.
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Firstly, we analyze Mie coefficients (Fig.~\ref{mie-fdtd}) and
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the intensity distribution inside the non-excited Si NP as
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- a function of its size for a fixed laser wavelength $\lambda = 800$
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- nm. We introduce $G_I$ factor of asymmetry, corresponding to
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+ a function of its size for a fixed laser wavelength $\lambda = 800$~nm. We introduce $G_I$ factor of asymmetry, corresponding to
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difference between the volume integral of intensity in the front side
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of the NP to that in the back side normalized to their sum:
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$G_I = (I^{front}-I^{back})/(I^{front}+I^{back})$, where
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@@ -540,7 +539,7 @@ license.
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sizes below the first magnetic dipole resonance, the intensity is
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enhanced in the front side as in Fig.~\ref{mie-fdtd}(c) and
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$G_I > 0$. The behavior changes near the size resonance value,
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- corresponding to $R \approx 105$ nm. In contrast, for larger sizes,
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+ corresponding to $R \approx 105$~nm. In contrast, for larger sizes,
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the intensity is enhanced in the back side of the NP as
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demonstrated in Fig.~\ref{mie-fdtd}(d). In fact, the similar EHP
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distributions can be obtained by applying Maxwell's equations coupled
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@@ -626,12 +625,12 @@ license.
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Fig.~\ref{fig3}). The EHP density is still relatively not high to
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influence the EHP evolution and strong diffusion rates but already
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enough to change the optical properties locally. Below the magnetic
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- dipole resonance $R \approx 100$ nm, the EHP is mostly localized in
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+ dipole resonance $R \approx 100$~nm, the EHP is mostly localized in
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the front side of the NP as shown in Fig.~\ref{fig2}(c). The highest
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stationary asymmetry factor $G_{N_e} \approx 0.5--0.6$ is achieved in this case. At the magnetic dipole
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resonance conditions, the EHP distribution has a toroidal shape and
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is much closer to homogeneous distribution. In contrast, above the
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- magnetic dipole resonant size for $R = 115$ nm, the $G_{N_e} < 0$ due
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+ magnetic dipole resonant size for $R = 115$~nm, the $G_{N_e} < 0$ due
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to dominantly EHP localized in the back side of the NP.
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For the higher excitation conditions, the optical properties of
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@@ -659,8 +658,8 @@ license.
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It is worth noting that it is possible to achieve a formation of
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deeply subwavelength EHP regions due to high field localization. The
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smallest EHP localization and the larger asymmetry factor are
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- achieved below the magnetic dipole resonant conditions for $R < 100$
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- nm. Thus, the EHP distribution in Fig.~\ref{fig2}(c) is optimal for
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+ achieved below the magnetic dipole resonant conditions for $R < 100$~nm.
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+ Thus, the EHP distribution in Fig.~\ref{fig2}(c) is optimal for
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symmetry breaking in Si NP, as it results in the larger asymmetry
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factor $G_{N_e}$ and higher electron densities $N_e$. We stress here
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that such regime could be still safe for NP due to the very small
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