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Tailoring angular momentum density via Mandelbrot fractal polarization singularities
Optics Express
|August 13, 2025
Summary
We introduce Mandelbrot fractal polarization singularities (MFPSs), a new structured light using fractal geometry to control light
Area of Science:
- Optics and Photonics
- Light-Matter Interactions
- Optical Micromanipulation
Background:
- Engineered polarization singularities (PSs) offer control over spin and orbital angular momentum (SAM/OAM).
- Conventional PSs have limitations in spatial complexity for advanced light-matter interactions.
Purpose of the Study:
- To propose and experimentally demonstrate Mandelbrot fractal polarization singularities (MFPSs) for enhanced angular momentum engineering.
- To leverage multifractal geometry for tailoring angular momentum density in structured light.
- To explore MFPSs for advanced optical micromanipulation applications.
Main Methods:
- Development of a common-path interferometric strategy with fractal phase encoding.
- Experimental generation of MFPSs with hierarchical polarization singularities.
- Characterization of non-uniform SAM/OAM separation in the focal region.
Main Results:
- Successful generation and characterization of MFPSs with complex polarization structures.
- Demonstration of fractal-driven non-uniform angular momentum density.
- Realization of selective directional transport and configurable multi-particle trapping of microparticles.
Conclusions:
- MFPSs represent a novel platform for precise angular momentum engineering.
- The study bridges singular optics with optical micromanipulation capabilities.
- MFPSs offer advanced solutions for light-matter interaction studies and optical manipulation.
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