“…Intuitively, the surface current induced by LCP (RCP) incident waves evolves with the varying central angle of the left (right) arm and generates the phase shift of corresponding co-polarized reflected waves, which is hardly affected by the varying central angle of the right (left) arm. In other words, the phase shift only depends on the variation of relevant central angle, and the accumulated phase can return to the same final state after undergoing cyclic evolutions on different paths, which are completely consistent with the characteristics of Aharonov–Anandan (AA) geometric phase originating from the Coriolis effect. − And according to the Coriolis effect, the rotational Doppler shift will occur when the incident waves carrying angular momentum pass through a rotating object along the rotation axis, which can cause the angular frequency shift Δω to generate the geometric phase φ , as expressed in eq , φ = prefix∫ Δ ω d t = prefix∫ σ Ω z d t where Ω z denotes the rotational angular velocity of the rotating object and σ = ±1 denotes the spin directions of orthogonal CP incident waves. Actually, the rotation of the object can be regarded as the rotation of the polarization state, so the rotational angular velocity of the object is equivalent to the rotation velocity of the polarization ellipse in the Poincare sphere, which can be written as Ω z = d (2τθ)/d t . , Here, θ represents the rotation angle of the object, and τ = ±1 represents the rotation directions of the polarization ellipse.…”