Table 1.

Particle sizing for nanospheres on the rim of the microtoroid with different angles in $yz$-plane. The simulated nanosphere has a radius of $a_0=50$ nm. The percent errors in size are 0.86–7.82% and 7.42–10.38% in terms of background air with $\sqrt{{\epsilon }_{bg}}=1$ and water with $\sqrt{{\epsilon }_{bg}}=1.33$, respectively.

Angle above Equator	${\mathit{a}}_{\mathbf{F}\mathbf{E}\mathbf{M}} \left(\mathbf{n}\mathbf{m}\right),\sqrt{{\mathit{\epsilon }}_{\mathit{b}\mathit{g}}}=1$	${\mathit{a}}_{\mathbf{F}\mathbf{E}\mathbf{M}} \left(\mathbf{n}\mathbf{m}\right),\sqrt{{\mathit{\epsilon }}_{\mathit{b}\mathit{g}}}=1.33$
0°	50.78	46.01
2.75°	51.06	46.09
5.5°	53.91	46.29
8.25°	50.43	45.13
11°	52.17	44.81