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Mathieu ray-wave structured light with self-healing elliptical accelerating vortices.

Wenjun Wei, Miaomiao Tang, Hao Zhang

    Optics Letters
    |October 1, 2024
    PubMed
    Summary

    We introduce Mathieu geometric modes (MGMs), a new class of light fields offering greater control over elliptical accelerating optical vortices. These modes provide enhanced freedom for complex particle manipulation and advanced optical tweezers.

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    Area of Science:

    • Optics and Photonics
    • Quantum Information Science

    Background:

    • Ray-wave structured vortex beams offer unique spatial geometric coupling for controlling orbital angular momentum (OAM).
    • Existing models are limited by circular symmetry, restricting modulation freedom.

    Purpose of the Study:

    • To propose a generalized class of ray-wave light fields, Mathieu geometric modes (MGMs).
    • To achieve geometrically tunable elliptical accelerating vortices with enhanced control over OAM.

    Main Methods:

    • Formulating MGMs based on helical Mathieu modes (HMMs) as stationary coherent states.
    • Utilizing eccentricity-related parameters for tuning vortex properties.

    Main Results:

    • Demonstrated geometrically tunable elliptical accelerating vortices.

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  • Observed properties including coordinate transformation, self-healing, and tunable angular acceleration.
  • MGMs exhibit higher degrees of freedom for controlling spatial accelerating vortices.

    • Conclusions:

    • MGMs offer advanced control over optical vortex beams beyond circular symmetry.
    • This work paves the way for higher-dimensional optical tweezers and sophisticated particle manipulation techniques.