Table 1.

The characteristics of SPP generated at the graphene sheets with parameters: ${\mu }_c=0.6\mathrm{eV}$, $\tau =0.9\mathrm{ps}$, $T=300\mathrm{K}$, ${\Delta }_g=2\mathrm{nm}$, and $d=20\mathrm{nm}$.

${\mathit{\lambda }}_0,\mathsf{\mu }\mathbf{m}$	${\mathit{\epsilon }}_{\mathit{d}}$	$\frac{2{\mathit{\mu }}_{\mathit{c}}}{\mathit{\hslash }\mathit{\omega }}$	${\mathit{\sigma }}_1,\mathbf{S}/\mathbf{m}$		${\mathit{\sigma }}_{\mathbf{intra}},\mathbf{S}$		${\mathit{\sigma }}_{\mathbf{inter}},\mathbf{S}$
4	1 (air)	$3.88$	$3.193\times {10}^7$		$3.5\times {10}^{-7}+1.49\times {10}^{-4}i$		$2.51\times {10}^{-8}-1.02\times {10}^{-5}i$
	$2.103$ ($\mathrm{S}\mathrm{i}{\mathrm{O}}_2$)	$3.88$	$3.193\times {10}^7$		$3.5\times {10}^{-7}+1.49\times {10}^{-4}i$		$2.51\times {10}^{-8}-1.02\times {10}^{-5}i$
$1.96$	$2.103$ ($\mathrm{S}\mathrm{i}{\mathrm{O}}_2$)	$1.9$	$3.193\times {10}^7$		$8.4\times {10}^{-8}+7.3\times {10}^{-5}i$		$3.24\times {10}^{-8}-2.26\times {10}^{-5}i$
$2.56$	$2.022$	$2.483$	$3.193\times {10}^7$		$1.44\times {10}^{-7}+9.54\times {10}^{-5}i$		$2.8\times {10}^{-8}-1.65\times {10}^{-5}i$
$8.04$	$2.022$	$7.8$	$3.193\times {10}^7$		$1.42\times {10}^{-6}+3\times {10}^{-4}i$		$2.39\times {10}^{-8}-4.98\times {10}^{-6}i$
${\mathbf{\lambda }}_{\mathbf{0}},\mathsf{\mu }\mathrm{m}$	${\mathbf{\epsilon }}_{\mathit{d}}$	Single Layer		Double-Layer Sheet
		${\mathit{\lambda }}_{\mathit{SPP}},\mathbf{nm}$	${\mathit{L}}_{\mathit{SPP}},\mathsf{\mu }\mathbf{m}$	$\mathbf{Re}\left(\mathbf{\xi }\right),\mathbf{nm}$	${\mathit{n}}_{\mathit{EF}+}^{\left(\mathit{R}\right)}$	${\mathit{\lambda }}_{\mathit{SPP}+},\mathbf{nm}$	${\mathit{L}}_{\mathit{C}},\mathbf{nm}$	${\overline{\mathit{L}}}_{\mathit{SPP}+},\mathsf{\mu }\mathbf{m}$
4	1 (air)	$104.6$	$3.1$	33	49	$81.5$	61	$3.5$
	$2.103$ ($\mathrm{S}\mathrm{i}{\mathrm{O}}_2$)	$49.7$	$1.5$	$15.8$	$86.1$	$46.5$	$108.3$	$1.6$
$1.96$	$2.103$ ($\mathrm{S}\mathrm{i}{\mathrm{O}}_2$)	$8.86$	$0.3$	$2.82$	221	$8.86$	$2.3\times {10}^6$	$0.3$
$2.56$	$2.022$	$18.8$	$0.7$	6	136	$18.8$	2641	$0.7$
$8.04$	$2.022$	$224.2$	$3.8$	71	$59.3$	$135.5$	74	$3.7$