Metric-Torsion Duality of Optically Chiral Structures

Yongliang Zhang, Lina Shi, Ruo-Yang Zhang, Jinglai Duan, Jack Ng, C. T. Chan, Kin Hung Fung

Research output: Contribution to journalJournal articlepeer-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
Number of pages6
JournalPhysical Review Letters
Issue number20
Publication statusPublished - 24 May 2019

Scopus Subject Areas

  • Physics and Astronomy(all)


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