Tunable in-plane and transverse spin angular shifts in layered dielectric structure

Controllable Peculiar Spin‐Dependent Transverse and In‐Plane Shifts of Airy Beam

“…Based on the 3D boundary matrix, the reflected angular spectrum can be written as [ 34,35 ] $$\begin{equation} {\left[ \def\eqcellsep{&}\begin{array}{c}\tilde{E}_{r}^{H} \\[3pt] \tilde{E}_{r}^{V} \end{array} \right]}={\left[ \def\eqcellsep{&}\begin{array}{cc}r_{\text{p}} & \frac{k_{r y} \cot \theta {\left(r_{\text{p}}+r_{\text{s}}\right)}}{k_{0}} \\[3pt] -\frac{k_{r y} \cot \theta {\left(r_{\text{p}}+r_{\text{s}}\right)}}{k_{0}} & r_{\text{s}} \end{array} \right]}{\left[ \def\eqcellsep{&}\begin{array}{c}\tilde{E}_{i}^{H} \\[3pt] \tilde{E}_{i}^{V} \end{array} \right]} \end{equation}$$where $$ r_{\text{p}}$$ and $$ r_{\text{s}}$$ are the Fresnel reflection coefficients in the case of horizontal and vertical polarizations, $$ k_{rx}$$ and $$ k_{ry}$$ indicate the components of the wave vector in the reflected coordinate along the $$ x_r$$ and $$ y_r$$ directions, and $$ k_{0}=2\pi /\lambda$$ is the wave number, among λ is the incident wavelength with the value ...…”

Impact of Polarization Phase of Incident Light on In-Plane Spin Splitting of Reflected Beam

“…When the polarization phase is zero, the polarized light at this time is called linearly polarized light. Previous studies on the PSHE mainly focused on the linearly polarized light beam [3], [4], [7], [23]- [27], namely, mainly focused on the polarization angle. The research on impact of polarization phase, as the other important parameter of polarization state, on PSHE is rarely reported [28].…”