The optical Möbius strip cavity: Tailoring geometric phases and far fields

Abstract

The Möbius strip, a long sheet of paper whose ends are glued together after a $180^{\circ }$ twist, has remarkable geometric and topological properties. Here, we consider dielectric Möbius strips of finite width and investigate the interplay between geometric properties and resonant light propagation. We show how the polarization dynamics of the electromagnetic wave depends on the topological properties, and demonstrate how the geometric phase can be manipulated between $0$ and $\pi$ through the system geometry. The loss of the Möbius character in thick cavities and for small twist segment lengths allows one to manipulate the polarization dynamics and the far-field emission, and opens the venue for applications.

arXiv comment6 pages, 5 figures

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• Polarization singularities and Möbius strips in sound and water-surface waves
• "Möbius" Microring Resonator
• Super-directional light emission and emission reversal from micro cavity arrays
• Spin-orbit interaction of light in three-dimensional microcavities
• Non-orientability induced PT phase transition in Moebius ladder lattices
• Mesoscopic Möbius ladder lattices as non-Hermitian model systems
• Topology-induced symmetry breaking demonstrated in antiferromagnetic magnons on a Möbius strip
• Distinct Berry Phases in a Single Triangular Möbius Microwave Resonator