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On the Geometry and Topology of Transformation Optics

2013/01/29 by Yong-Liang Zhang, Zhang, Yong-Liang, Li-Na Shi +9
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optics (physics.optics) #cond-mat.mes-hall #physics.optics

paper · pdf · doi:10.48550/arxiv.1301.6954

arxiv created 2014/11/25 · arxiv updated 2014/11/26

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.

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