English

Electromagnetic wave propagating along a space curve

Optics 2018-03-28 v1 General Relativity and Quantum Cosmology

Abstract

Using the thin-layer approach, we derive the effective equation for the electromagnetic wave propagating along a space curve. We find intrinsic spin-orbit, extrinsic spin-orbit and extrinsic orbital angular momentum and intrinsic orbital angular momentum couplings induced by torsion, which can lead to geometric phase, spin and orbital Hall effects. And we show the helicity inversion induced by curvature that can convert the right-handed circularly polarized electromagnetic wave into left-handed polarized one, vice verse. Finally, we demonstrate that the gauge invariance of the effective dynamics is protected by the geometrically induced gauge potential.

Keywords

Cite

@article{arxiv.1802.04059,
  title  = {Electromagnetic wave propagating along a space curve},
  author = {Meng-Yun Lai and Yong-Long Wang and Guo-Hua Liang and Fan Wang and Hong-Shi Zong},
  journal= {arXiv preprint arXiv:1802.04059},
  year   = {2018}
}
R2 v1 2026-06-23T00:19:15.246Z