Optimized weak measurement model for in-plane and out-of-plane splitting shifts of Photonic Spin Hall effect

Abstract

The photonic spin Hall effect (PSHE) holds great potential for applications in the fields of precision measurement and sensing. Due to its splitting shift usually at the sub-wavelength level, the current observation and application of PSHE usually rely on weak measurement amplification technology. However, the current optimized weak measurement models are only for the out-of-plane splitting shift of PSHE, and are only applicable to certain specific situations. This greatly limits the application of PSHE in many fields such as precision measurement and sensing, and to some extent hinders the experimental research on PSHE. Based on this issue, by changing the polarization state from 0° or 90° to arbitrary linear polarization incidence, and extending the reflection coefficient from real number to complex number, a set of optimized weak measurement model with wider applicability for both in-plane and out-of-plane splitting shifts of PSHE is established in this article. It is not only applicable to the case where the pre-selection and post-selection states are arbitrary linearly polarized states, but also to the case where the reflection interface is both absorbent medium and non-absorbent medium. In addition, the correctness of this model is demonstrated through comparative verification. This work not only help to conduct more comprehensive and in-depth research on the PSHE and will also further promotes the application and development of PSHE in the fields of precision measurement and high-sensitivity sensing.