The optical M\"obius strip cavity.
The M\"obius strip, a long sheet of paper whose ends are glued together with a 180{\deg} twist, has remarkable geometric and topological properties. Here, we consider dielectric M\"obius strips of finite width and investigate the interplay between resonant light propagation and geometric properties. We show that the polarization dynamics of the electromagnetic wave reflects the topological properties of the systems in terms of geometric phases and demonstrate how the geometric phase can be manipulated, thereby drawing an analogy to electronic magnetotransport. The loss of the M\"obius character in thick strips and for small twist segment lengths allows one to manipulate the topological properties and opens the venue for applications.
Publisher URL: http://arxiv.org/abs/1711.03351
DOI: arXiv:1711.03351v1
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