Abstract

Based on in-plane anisotropy of black phosphorus (BP), anisotropic photonics topological transition (PTT) can be achieved by the proposed hyperbolic metamaterials structure, which is composed of alternating BP/SiO2 multilayer. Through effective medium theory and calculated iso-frequency contour, PTT can be found by carefully choosing the incident plane and other parameters. With the finite element method and transfer matrix method, a narrow angular optical transparency window with angular full width at half maximum of 1.32° exists at PTT. By changing the working wavelength, thickness of SiO2, or electron doping of black phosphorus, the incident plane of realizing PTT can be modulated, and anisotropic PTT is achieved.

Highlights

  • Metamaterials, a kind of artificial structured composites on subwavelength scales, show unprecedented electromagnetic properties which are never observed in natural materials [1]

  • In contrast to the closed iso-frequency contour (IFC) of traditional materials, the hyperbolic IFC is open and large wave-vectors can be supported in hyperbolic metamaterials (HMMs) [15]

  • This special feature has been explored for many prospective applications in hyperlens [6], spontaneous emission enhancement [16,17], Goos–Hänchen effect [18,19], photonic topological transition [20,21,22,23,24], photonic spin hall effect [25,26], and Casimir force [27,28]

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Summary

Introduction

Metamaterials, a kind of artificial structured composites on subwavelength scales, show unprecedented electromagnetic properties which are never observed in natural materials [1]. We theoretically propose to construct a BP-based HMMs structure consisting of alternating BP/SiO2 multilayer, which can realize anisotropic PTT thanks to inherent in-plane anisotropy of BP.

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