期刊
NEW JOURNAL OF PHYSICS
卷 19, 期 -, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1367-2630/aa6acd
关键词
optical chirality; nongeometric symmetries; Lipkin's zilch; gyrotropic crystals; natural optical activity
资金
- Government of the Russian Federation Program [02.A03.21.0006]
- RFBR Grant [17-52-50013]
- JSPS KAKENHI Grants [25220803, 17H02923]
- JSPS Core-to-Core Program
- JSPS Bilateral (Japan-Russia) Joint Research Projects
- Center for Chiral Science, Hiroshima University
- Ministry of Education and Science of the Russian Federation [MK-6230.2016.2]
- Grants-in-Aid for Scientific Research [17H02923, 17H02767] Funding Source: KAKEN
Wediscuss optical chirality in different types of gyrotropic media. Our analysis is based on the formalism of nongeometric symmetries of Maxwell's equations in vacuum generalized to material media with given constituent relations. This approach enables us to directly derive conservation laws related to nongeometric symmetries. For isotropic chiral media, we demonstrate that like a free electromagnetic field, both duality and helicity generators belong to the basis set of nongeometric symmetries that guarantees the conservation of optical chirality. In gyrotropic crystals, which exhibit natural optical activity, the situation is quite different from the case of isotropic media. For light propagating along a certain crystallographic direction, there arises two distinct cases: (1) the duality is broken but the helicity is preserved, or (2) only the duality symmetry survives. Weshow that the existence of one of these symmetries (duality or helicity) is enough to define optical chirality. In addition, we present examples of low-symmetry media, where optical chirality cannot be defined.
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