On the Geometry and Topology of Transformation Optics
Optics
2014-11-26 v6 Mesoscale and Nanoscale Physics
Abstract
We generalize the geometrical model of transformation optics to Rieman-Cartan space with torsion by introducing topological defects in physical space. By relaxing the integrable condition, we show explicitly that the generalized equivalent medium are bi-anisotropic where the magnetoelectric coupling parameters emergent as the dislocation density. We also show the generation of orbital angular momentum of light. Our theory may open intriguing venues for controlling the vectorial degree of freedom of light with metamaterials.
Keywords
Cite
@article{arxiv.1301.6954,
title = {On the Geometry and Topology of Transformation Optics},
author = {Yong-Liang Zhang and Li-Na Shi and Xian-Zi Dong and Fu-Zhou Gong and Zhen-Sheng Zhao and Xuan-Ming Duan},
journal= {arXiv preprint arXiv:1301.6954},
year = {2014}
}