Optical Möbius strips and twisted ribbon cloaks

Area of Science:

• Optics and Photonics
• Mathematical Physics

Background:

• Optical fields contain singularities like C points (circular polarization points).
• Möbius strips are topological objects with a single surface and one edge.
• The twist index quantifies the handedness and number of half-twists in a Möbius strip.

Purpose of the Study:

• To investigate the phenomenon of cloaking optical Möbius strips.
• To understand how cloaking affects the observable twist index of Möbius strips.

Main Methods:

• Analyzing generic three-dimensional optical fields.
• Studying the interaction between optical Möbius strips and cloaking twisted ribbons attached to C points.

Main Results:

• Optical Möbius strips surrounding C points are cloaked by twisted ribbons.
• The cloaking ribbons determine the observable signed twist index (1 or 3) and handedness of the Möbius strips.
• While some cloaks can be detached, complete removal of all cloaks is impossible.

Conclusions:

• Cloaking is an inherent property related to the topological structure of optical fields.
• The interaction between optical Möbius strips and cloaking ribbons provides insights into topological field theory.
• Understanding these phenomena has implications for manipulating light polarization and topology.