Modulation and Sensing Properties of Graphene Plasma Based on Surface Electric Current Boundary Condition

Fig. 1. Model structure and FDTD discrete Yee cell. (a) Lattice structure of graphene ribbon; (b) 3D FDTD discrete Yee cell with graphene ribbon at z=k+1/2 where a zero-thickness graphene ribbon is placed

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Fig. 2. Spectrogram and field patterns of unit cell. (a) Absorption spectrum of graphene ribbon unit cell; (b) distributions of electric field E_z at wavelength of 12.71 μm; (c) distributions of electric field E_z at wavelength of 13.92 μm

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Fig. 3. Effect of E_f on GSP absorption spectrum.(a)Absorption spectra of graphene ribbon when E_f is 0.4, 0.6, and 0.8 eV; (b) variation of absorption spectrum when E_f varies from 0.4 eV to 0.8 eV, continuously

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Fig. 4. Variations in λ_m,E_e_m, γ_i_m, and γ_w_m under different E_f. (a) λ_m; (b) E_e_m; (c) γ_i_m; (d) γ_w_m<

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Fig. 5. Effect of μ on GSP absorption spectrum. (a) Absorption spectra of graphene ribbon when μ is 0.4, 0.6, and 0.8 m²·(V·s)^-1; (b) evolution of optical absorption of graphene ribbon when μ varies from 0.1 m²·(V·s)^-1 to 1 m²·(V·s)^-1 continuously

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Fig. 6. Variations in λ_m, E_e_m, γ_i_m, and γ_w_m with μ. (a) λ_m; (b) E_e_m; (c) γ_i_m; (d) γ_w_m

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Fig. 7. Effect of n₁on GSP absorption spectrum. (a) Absorption spectra of graphene ribbon when n₁ is 1.3, 1.6, and 1.9; (b) evolution of optical absorption of graphene ribbon when n₁varies from 1 to 2

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Fig. 8. Variations in λ_m, E_e_m, γ_i_m, and γ_w_m with n₁. (a) λ_m; (b) E_e_m; (c) γ_i_m; (d) γ_w_m

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Fig. 9. Modulation characteristics of quality factor and lifetime. (a) Variation in F_FOMwith n₁; (b) variation in τ_m with E_f; (c) variation in τ_m with μ; (d) variation in τ_m with n₁

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Table 1. λ_m, E_e_m, γ_i_m, and γ_w
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Table 1. λ_m, E_e_m, γ_i_m, and γ_w
Method Parameter E_f=0.4 eV E_f=0.45 eV E_f=0.5 eV E_f=0.55 eV E_f=0.6 eV E_f=0.65 eV E_f=0.7 eV E_f=0.75 eV E_f=0.8 eV
FDTD ${λ_{1}}_{}$ /μm 15.53 14.67 13.98 13.21 12.71 11.97 11.88 11.53 11.13
${λ_{2}}_{}$ /μm 16.81 15.87 15.21 14.47 13.92 13.41 12.93 12.59 12.23
${E_{e 1}}_{}$ /10² 15.01 16.34 18.33 21.29 23.57 26.20 28.81 31.40 33.96
${E_{e 2}}_{}$ /10² 24.13 29.41 34.36 40.04 44.56 49.60 54.55 59.41 64.17
CMT ${γ_{i 1}}_{}$ /(10¹² rad·s^-1) 8.42 7.28 6.64 6.07 5.69 5.31 5.03 4.71 4.45
${γ_{i 2}}_{}$ /(10¹² rad·s^-1) 7.93 7.09 6.45 5.94 5.54 5.21 4.87 4.55 4.30
${γ_{w 1}}_{}$ /(10¹⁰ rad·s^-1) 0.88 1.03 1.42 1.82 2.18 2.58 3.01 3.59 4.03
${γ_{w 2}}_{}$ /(10¹⁰ rad·s^-1) 1.17 1.72 2.20 2.89 3.43 4.21 4.95 5.62 6.42

Table 2. λ_m, E_e_m, γ_i_m, and γ_w
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Table 2. λ_m, E_e_m, γ_i_m, and γ_w
Method Parameter μ=0.1 m²·(V·s)^-1 μ=0.2 m²·(V·s)^-1 μ=0.3 m²·(V·s)^-1 μ=0.4 m²·(V·s)^-1 μ=0.5 m²·(V·s)^-1 μ=0.6 m²·(V·s)^-1 μ=0.7 m²·(V·s)^-1 μ=0.8 m²·(V·s)^-1 μ=0.9 m²·(V·s)^-1 μ=1.0 m²·(V·s)^-1
FDTD ${λ_{1}}_{}$ /μm 12.31 12.31 12.31 12.31 12.31 12.31 12.31 12.31 12.31 12.31
${λ_{2}}_{}$ /μm 13.46 13.46 13.46 13.46 13.46 13.46 13.46 13.46 13.46 13.46
${E_{e 1}}_{}$ /10² 3.45 5.16 8.76 11.57 13.84 16.14 18.43 20.91 23.32 25.67
${E_{e 2}}_{}$ /10² 3.45 7.65 12.47 18.33 24.10 29.42 34.48 39.34 44.04 48.59
CMT ${γ_{i 1}}_{}$ /(10¹³ rad·s^-1) 5.47 3.13 1.89 1.29 1.05 0.93 0.81 0.68 0.59 0.57
${γ_{i 2}}_{}$ /(10¹² rad·s ^-1) 4.17 2.32 1.44 1.06 0.93 0.82 0.72 0.61 0.52 0.46
${γ_{w 1}}_{}$ /(10¹⁰ rad·s^-1) 0.33 0.68 0.96 1.23 1.48 1.72 1.95 2.16 2.35 2.52
${γ_{w 2}}_{}$ /(10¹⁰ rad·s^-1) 0.75 1.14 1.53 1.89 2.28 2.71 3.15 3.50 3.83 4.12

Table 3. λ_m, E_e_m, γ_i_m, and γ_w_m

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Table 3. λ_m, E_e_m, γ_i_m, and γ_w_m

Method	Parameter	n₁=1.0	n₁=1.1	n₁=1.2	n₁=1.3	n₁=1.4	n₁=1.5	n₁=1.6	n₁=1.7	n₁=1.8	n₁=1.9	n₁=2.0
FDTD	${λ_{1}}_{}$ /μm	12.31	12.90	13.51	14.15	14.78	15.43	16.09	16.79	17.47	18.19	18.90
	${λ_{2}}_{}$ /μm	13.51	14.51	14.82	15.52	16.21	16.93	17.67	18.43	19.17	19.94	20.72
	${E_{e 1}}_{}$ /10²	26.97	25.85	24.77	23.68	22.69	21.73	20.81	19.91	19.08	18.26	17.51
	${E_{e 2}}_{}$ /10²	51.47	48.66	45.99	43.43	41.13	38.92	36.85	34.92	33.17	31.51	29.98
CMT	${γ_{i 1}}_{}$ /(10¹² rad·s^-1)	5.09	5.10	5.11	5.12	5.13	5.14	5.15	5.16	5.17	5.18	5.19
	${γ_{i 2}}_{}$ /(10¹² rad·s^-1)	5.29	5.30	5.31	5.32	5.33	5.34	5.35	5.36	5.37	5.38	5.39
	${γ_{w 1}}_{}$ /(10¹⁰ rad·s^-1)	2.87	2.99	3.10	3.22	3.34	3.46	3.59	3.71	3.83	3.96	4.08
	${γ_{w 1}}_{}$ /(10¹⁰ rad·s^-1)	5.42	5.31	5.20	5.09	4.98	4.88	4.78	4.68	4.58	4.48	4.38

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Sa Yang, Renlong Zhou, Dan Liu, Yongming Zhao, Qiawu Lin, Shuang Li. Modulation and Sensing Properties of Graphene Plasma Based on Surface Electric Current Boundary Condition[J]. Acta Optica Sinica, 2019, 39(11): 1124001

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