4D Topological Textures in Light

Area of Science:

• Optics and Photonics
• Condensed Matter Physics
• Topology

Background:

• Optical lattices are crucial for studying light-matter interactions.
• Understanding polarization states is key to manipulating light.
• Topological structures offer unique physical properties.

Purpose of the Study:

• To introduce and characterize 4D topological textures in optical lattices.
• To demonstrate the comprehensive coverage of all polarization states within these textures.
• To explore the formation of 4D skyrmionic structures.

Main Methods:

• Utilizing (quasi)monochromatic nonparaxial optical lattices.
• Constructing fields from five plane waves with adiabatically varying amplitudes.
• Employing a temporally variant beam focused by a high numerical aperture lens.

Main Results:

• The optical lattices contain all possible polarization ellipses in 3D space.
• These fields span the nonparaxial polarization space and a 4-sphere.
• 4D skyrmionic structures are formed within specific spatiotemporal regions.

Conclusions:

• 4D topological textures offer a novel platform for exploring polarization phenomena.
• The demonstrated structures are experimentally realizable, opening avenues for future research.
• This work expands the understanding of topological structures in optical systems.