Metric-Torsion Duality of Optically Chiral Structures

Yongliang Zhang, Lina Shi, Ruo Yang Zhang, Jinglai Duan, Jack Ng, C. T. Chan, Kin Hung Fung (Corresponding Author)

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


We develop a metric-torsion theory for chiral structures by using a generalized framework of transformation optics. We show that the chirality is uniquely determined by a metric with the local rotational degree of freedom. In analogy to the dislocation continuum, the chirality can be alternatively interpreted as the torsion tensor of a Riemann-Cartan space, which is mimicked by the anholonomy of the orthonormal basis. As a demonstration, we reveal the equivalence of typical three-dimensional chiral metamaterials in the continuum limit. Our theory provides an analytical recipe to design optical chirality.

Original languageEnglish
Article number200201
JournalPhysical Review Letters
Issue number20
Publication statusPublished - 24 May 2019

ASJC Scopus subject areas

  • General Physics and Astronomy


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