Open AccessGeometric phase Doppler effect: when structured light meets rotating structured materials
Author(s) -
Zhenxing Li,
Yuanyuan Liu,
Yougang Ke,
Junxiao Zhou,
Yachao Liu,
Hailu Luo,
Shuangchun Wen
Publication year - 2017
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.25.011564
Subject(s) - geometric phase , structured light , angular momentum , physics , doppler effect , optical vortex , optics , orbital angular momentum of light , light beam , phase (matter) , angular momentum of light , anisotropy , rotation (mathematics) , classical mechanics , total angular momentum quantum number , quantum mechanics , angular momentum coupling , geometry , mathematics
We examine the geometric phase Doppler effect that appears when a structured light interacts with a rotating structured material. In our scheme the structured light possesses a vortex phase and the structured material works as an inhomogeneous anisotropic plate. We show that the Doppler effect manifests itself as a frequency shift which can be interpreted in terms of a dynamic evolution of Pancharatnam-Berry phase on the hybrid-order Poincaré sphere. The frequency shift induced by the change rate of Pancharatnam-Berry phase with time is derived from both the Jones matrix calculations and the theory of the hybrid-order Poincaré sphere. Unlike the conventional rotational Doppler effect, the frequency shift is proportional to the variation of total angular momentum of light beam, irrespective of the orbital angular momentum of input beams.