Limitations of the transmitted photonic spin Hall effect through layered structure

Chong Miao,Dongxue Wang,Zhiyuan Zheng,Hua Gao,Eric Herrmann,Haochong Huang

doi:10.1038/s41598-021-00681-0

Chong Miao, Dongxue Wang + Show 4 more

Open Access

https://doi.org/10.1038/s41598-021-00681-0

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Abstract

In this paper, we show theoretically that the spin-dependent transverse shift of the transmitted photonic spin Hall effect (SHE) through layered structure cannot exceed half of the incident beam waist. Exact conditions for obtaining the upper limit of the transmitted SHE are clarified in detail. In addition, different from the popular view in many investigations, we find that there is no positive correlation between the spin-dependent transverse displacement and the ratio between the Fresnel transmission coefficients (tp, ts). In contrast, the optimal transmission ratio is determined by the incident angle and the beam waist. Moreover, two conventional transmission structures are selected and studied in detail. The characteristics of the transverse displacements obtained are in very good agreement with our theoretical conclusions. These findings provide a deeper insight into the photonic spin Hall phenomena and offer a guide for future related research.

Highlights

IntroductionTo improve the Fresnel transmission ratio to increase the spatial splitting[10,15,22,30]
To improve the Fresnel transmission ratio to increase the spatial splitting[10,15,22,30]. Another question arises: Does an increase in the ratio of the Fresnel transmission coefficients really lead to an increase of the transverse shift? In addition, because the photonic spin Hall effect (SHE) is a result of the interaction between the incident light and the structures, the incident beam plays an important role on the value of the transverse shift
For a Gaussian beam, through analytical method, we find that the value of the splitting is closely related to the ratio of the Fresnel transmission coefficient, while the optimal transmission coefficient ratio is related to the beam waist and incident angle

Summary

Introduction

To improve the Fresnel transmission ratio to increase the spatial splitting[10,15,22,30]. Because the photonic SHE is a result of the interaction between the incident light and the structures, the incident beam plays an important role on the value of the transverse shift. What role does the beam waist play in the transverse displacement?. The above questions are studied by theoretically deducing and analyzing the spin-dependent transverse displacement of a transmitted photonic SHE. The transverse shift of the photonic SHE is related to the beam waist of incident light. We verify the above conclusions by studying the transmitted photonic SHEs in both an ENZ slab and an optical resonant tunneling structure These findings provide deeper insight into the optical spin-dependent splitting phenomena and can better guide the study of the photonic SHE.

Discussion

Conclusion