Giant Goos-Häanchen Shift Generated by the One-Dimensional Photonic Crystals Doped With Black Phosphorus

Abstract

In this paper, a novel kind of one-dimensional (1-D) photonic crystals (PCs) using two-dimensional (2-D) hyperbolic material black phosphorus (BP) is proposed, to generate a huge lateral shift which is also known as Goos-Hänchen (GH) shift. The reflected features of such 1-D PCs are mainly ascribed to the thickness ratio of the layer of Au and BP, and the carrier density, due to the characteristics of the permittivities of BP layers and alternating Au-BP layers. In our simulation, the proposed PCs not only can create giant negative and positive GH shifts but also can generate a few adjustable changes under the influences of thickness ratio and carrier density. The simulated results show that the normalized negative one can reach about 253 times of the wavelength, the positive shift can be up to about 279 times. Such 1-D PCs using 2-D hyperbolic material might provide us a new theoretical possibility to produce giant GH shifts.