Figure 2.

Three-dimensional eigenfrequency simulation results of (a) the splitting frequency |$2g$| and (b) linewidth broadening $\Gamma$ versus radius $a_0$ in terms of two different background media: air with $\sqrt{{\epsilon }_{bg}}=1$ and water with $\sqrt{{\epsilon }_{bg}}=1.33$. (c) Nanosphere polarizability versus radius $a_0$. Solid lines denote the analytical calculation using Equation (1) and stars denote numerical results derived from $\Gamma /2g=-\alpha {\omega }_c{}^3{\sqrt{{\epsilon }_{bg}}}^3/\left(6\pi c^3\right)$. (d,e) Particle radius $a_{\mathrm{FEM}}$ derived from Equation (4). Solid lines indicate the true radius $a_0$. (f) Percent error of the sizing results calculated by $100\times \left(a_0-a_{\mathrm{FEM}}\right)/a_0$.