Abstract
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 language | English |
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Article number | 200201 |
Journal | Physical Review Letters |
Volume | 122 |
Issue number | 20 |
DOIs | |
Publication status | Published - 24 May 2019 |
Scopus Subject Areas
- Physics and Astronomy(all)