Band gap engineering and applications in compound periodic structure containing hyperbolic metamaterials

Wu Feng; Guo Zhi-Wei; Wu Jia-Ju; Jiang Hai-Tao; Du Gui-Qiang

doi:10.7498/aps.69.20200084

Abstract

Behaviours of light in materials strongly depend on the topological structure of the iso-frequency surface (IFS). The usual materials, of which the unit cell of photonic crystal is made up, are dielectrics, whose IFSs have the same closed topological structure. As a simplest photonic crystal, one-dimensional photonic crystal (1DPC) has attracted intensive attention due to its simple fabrication technique as well as numerous applications. However, in a conventional all-dielectric 1DPC, photonic band gaps (PBGs) for both transverse magnetic (TM) and transverse electric (TE) polarizations will shift toward short wavelengths (i.e. blueshift) as incident angle increases. The underlying physical reason is that the propagating phase in isotropic dielectric will decrease as incident angle increases. The blueshift property of band gap for TM and TE polarization will limit the band width of omnidirectional band gap and the range of operating incident angles in some PBG-based applications, including near-perfect absorption, polarization selection and sensitive refractive index sensing. However, for TM polarization, the propagating phase in a hyperbolic metamaterial (HMM) will increase with incident angle increasing. This special phase property of HMM provides us with a way to flexibly tune the angle-dependent property of band gap in periodic compound structure composed of alternative HMM with open IFS and dielectric with close IFS. In this review, we realize zeroshift (i.e. angle-independent) band gaps as well as redshift band gaps in 1DPCs containing HMMs, which can be utilized to realize near-perfect absorption, sensitive refractive index sensing and polarization selection working in a wide range of incident angles.

Keywords:

Authors and contacts

1.
Ministry of Education Key Laboratory of Advanced Microstructure Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
2.
School of Optoelectronic Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, China
3.
School of Space Science and Physics, Shandong Univeristy, Weihai 264209, China

Corresponding author: Jiang Hai-Tao, jiang-haitao@tongji.edu.cn

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Cited By

图 1 含双曲超构材料的复合周期结构的示意图

Figure 1. Schematic of the compound periodic structure containing hyperbolic metamaterials.

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图 2 传统的全介质一维光子晶体(AB)^N的示意图

Figure 2. Schematic of the conventional all-dielectric one-dimensional photonic crystal (AB)^N.

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图 3 普通介质A和B的等频线(TM和TE偏振)

Figure 3. Iso-frequency curves of isotropic dielectrics A and B (TM and TE polarizations).

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图 4 数值计算的一维光子晶体(AB)¹⁰的反射谱(TM和TE偏振)随入射角的变化

Figure 4. Calculated reflectance spectrum of (AB)¹⁰ as a function of incident angle (TM and TE polarizations).

DownLoad: Full-Size Img PowerPoint

图 5 含双曲超构材料的一维光子晶体[(CD)^SB]^N的示意图

Figure 5. Schematic of the one-dimensional photonic crystal containing hyperbolic metamaterials [(CD)^SB]^N.

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图 6 (a)双曲材料A和(b)普通介质B的等频线(TM偏振)

Figure 6. Iso-frequency curves of (a) hyperbolic metamaterial A and (b) isotropic dielectric B (TM polarization).

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图 7 含双曲超构材料的一维光子晶体[(CD)²B]³在不同入射角下的反射谱(TM偏振) 　(a) 数值计算结果^[107]; (b) 实验测量结果^[107]

Figure 7. Reflectance spectra of [(CD)²B]³ under different incident angles (TM polarization): (a) Simulated result^[107]; (b) experimental result^[107].

DownLoad: Full-Size Img PowerPoint

图 8 含双曲超构材料的一维光子晶体[(CD)²B]³的反射谱(TM偏振)随入射角的变化^[107], 其中彩色背景代表数值计算结果, 黑色空心圆圈代表实验测量的带隙边缘(由最靠近带隙的反射极小值提取)

Figure 8. Reflectance spectrum of [(CD)²B]³ as a function of incident angle (TM polarization)^[107]. Background color represents the calculated result. Black hollow circle represents measured gap edge extracted from the reflectance dip.

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图 9 数值计算的含双曲超构材料的一维光子晶体[(CD)²B]³的反射谱(TM和TE偏振)随入射角的变化^[108]

Figure 9. Calculated reflectance spectrum of [(CD)²B]³ as a function of incident angle (TM and TE polarizations)^[108].

DownLoad: Full-Size Img PowerPoint

图 10 实验测量的含双曲超构材料的一维光子晶体[(CD)²B]³在不同入射角下的反射谱　(a) TM偏振^[108]; (b) TE偏振^[108]

Figure 10. Experimental reflectance spectra of [(CD)²B]³ under different incident angles: (a) TM polarization^[108]; (b) TE polarization^[108].

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图 11 (a) 异质结M[(CD)²B]³的结构示意图^[109]; (b) 实验测量的异质结M[(CD)²B]³在不同入射角下的吸收谱(TM偏振)^[109]

Figure 11. (a) Schematic of the heterostructure M[(CD)²B]³^[109]; (b) experimental absorptance spectra of M[(CD)²B]³ under different incident angles (TM polarization)^[109].

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图 12 实验测量的异质结M[(CD)²B]³在波长380 nm处的吸收率随入射角的变化(TM偏振)^[109]

Figure 12. Experimental absorptance of M[(CD)²B]³ as a function of incident angle at $\lambda = 380$ nm (TM polarization)^[109].

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图 13 (a) 实验测量的含双曲超构材料的一维光子晶体[(CD)²B]³在波长365 nm处的TM和TE偏振的反射率随入射角的变化^[108]; (b) 相应的偏振选择比随入射角的变化^[108]

Figure 13. (a) Experimental reflectance of M[(CD)²B]³ as a function of incident angle for TM and TE polarizations at $\lambda = 365$ nm^[108]; (b) corresponding polarization selection ratio as a function of incident angle^[108].

DownLoad: Full-Size Img PowerPoint

图 14 数值计算的异质结M[(CD)²B]⁹的反射谱(TM和TE偏振)随入射角的变化^[114]

Figure 14. Calculated reflectance spectrum of M[(CD)²B]⁹ as a function of incident angle (TM and TE polarizations)^[114].

DownLoad: Full-Size Img PowerPoint

图 15 (a) 折射率传感器的示意图^[114]; (b) 数值计算的传感器的最佳折射率分辨率随入射角的变化^[114]

Figure 15. (a) Schematic of the refractive index sensor^[114]; (b) calculated minimal refractive index resolution as a function of incident angle^[114].

DownLoad: Full-Size Img PowerPoint

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[2]	Drachev V P, Podolskiy V A, Kildishev A V 2013 Opt. Express 21 15048 Google Scholar
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