Based on angular spectrum expansion and 4x4 matrix theory, our works have combined the traditional vortex optical theory with the latest Topological insulator (TI) to present the reflection and transmission characteristics of an Laguerre Gaussian (LG) beam from a multilayered topological insulator slab. The reflected and transmissed beam intensities from three-layered TI slab are numerically simulated. It is shown that the distortion of intensity distribution is greatly affected by the topological magneto-electric polarizability of TI. The method presented in this article not only colud be extended to different TI-layers but could reveal unusual photonic band structures and band gaps in TI photonic crystals in further research.
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