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Updated: Jun 1, 2026
06:53
Scanning SQUID Study of Vortex Manipulation by Local Contact
Published on: February 1, 2017
Systematic approach to complex periodic vortex and helix lattices.
Julian Becker1, Patrick Rose, Martin Boguslawski
1Institut für Angewandte Physik and Center for Nonlinear Science (CeNoS), Westfälische Wilhelms-Universität Münster, Correnstr. 2/4, 48149 Münster, Germany. julian.becker@uni-muenster.de
Optics Express
|June 7, 2011
Summary
We developed a framework to describe complex light field symmetries, enabling the creation of periodic structures with phase dislocations. This research details three fundamental 2D vortex lattices and their 3D extensions for applications in holographic lithography.
Area of Science:
- Optics and Photonics
- Mathematical Physics
Background:
- Complex light fields exhibit symmetries crucial for structured light generation.
- Phase dislocations, or optical vortices, are key features in light field manipulation.
- Understanding and controlling periodic structures in light fields is essential for advanced optical applications.
Purpose of the Study:
- To present a general framework for describing symmetries of complex light fields.
- To demonstrate the construction of sophisticated periodic structures with phase dislocations.
- To explore applications in holographic lithography through 3D lattice generation.
Main Methods:
- Development of a comprehensive framework for symmetry description.
- Derivation of three fundamental two-dimensional vortex lattices (triangular, quadratic, hexagonal).
- Numerical calculations and experimental realization of complex intensity and phase distributions.
Main Results:
- Successful derivation of triangular, quadratic, and hexagonal vortex lattices.
- Demonstration of these lattices forming the basis for complex 3D lattices.
- Observation of helical intensity distributions in the 3D lattices.
Conclusions:
- The presented framework systematically describes light field symmetries.
- The derived 2D and 3D vortex lattices offer a foundation for advanced optical structuring.
- The findings suggest valuable applications in holographic lithography and structured light generation.
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