Optimization of Transfer Matrix Method and Transmission Properties of Graphene-Hyperbolic Metamaterials

Shujuan Yuan; Ji Xu; Yang Li; Shanfeng Liu; Xinyi Lu; Yunqing Lu; Ning Liu; Baifu Zhang

doi:10.3788/LOP56.041602

Journals >Laser & Optoelectronics Progress >Volume 56 >Issue 4 >Page 041602 > Article

Laser & Optoelectronics Progress
Vol. 56, Issue 4, 041602 (2019)

Optimization of Transfer Matrix Method and Transmission Properties of Graphene-Hyperbolic Metamaterials

Shujuan Yuan¹, Ji Xu^1、*, Yang Li¹, Shanfeng Liu¹, Xinyi Lu¹, Yunqing Lu¹, Ning Liu¹, and Baifu Zhang²

Author Affiliations

¹ College of Electronic and Optical Engineering & College of Microelectronics, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu 210023, China;

² School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China

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DOI: 10.3788/LOP56.041602 Cite this Article Set citation alerts

Shujuan Yuan, Ji Xu, Yang Li, Shanfeng Liu, Xinyi Lu, Yunqing Lu, Ning Liu, Baifu Zhang. Optimization of Transfer Matrix Method and Transmission Properties of Graphene-Hyperbolic Metamaterials[J]. Laser & Optoelectronics Progress, 2019, 56(4): 041602 Copy Citation Text

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Fig. 1. Structural diagram of GDM-HMMs

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Fig. 2. Equivalent dielectric tensor components of GDM-HMMs

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Fig. 3. Equifrequency curves in GDM-HMMs and air

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Fig. 4. Transmission spectra of GDM-HMMs with different numbers of periods based on optimized TMM. (a) N=100; (b) N=300; (c) N=1000; (d) N=3000

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Fig. 5. Relationship between kz and ? of transmission peak

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N=100			N=300			N=1000			N=3000
k_x	k_z	φ	k_x	k_z	φ	k_x	k_z	φ	k_x	k_z	φ
1.63	0.58	1.29π	1.20	0.59	1.80π	1.64	0.60	3.76π	1.58	0.50	7.95π
4.55	3.25	2.50π	2.02	1.07	2.50π	1.81	0.83	4.85π	1.62	0.57	8.92π
			2.88	1.88	3.60π	2.01	1.06	5.92π	1.67	0.64	9.90π
			3.83	2.67	4.66π	2.24	1.29	6.98π	1.72	0.71	10.88π
			4.82	3.46	5.72π	2.49	1.53	8.11π	1.77	0.78	11.85π
						2.75	1.76	9.19π	1.84	0.87	13.11π
						3.02	2.00	10.31π	1.90	0.94	14.08π
						3.30	2.23	11.38π	1.97	1.02	15.20π
						3.59	2.47	12.47π	2.04	1.09	16.17π
						3.88	2.71	13.55π	2.11	1.16	17.15π
									2.19	1.24	18.26π

Table 1. Related parameters of transmission peak at λ0=2.30 μm of GDM-HMMs with different thicknesses

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