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Related Experiment Video

Updated: Dec 13, 2025

Quantitative Locomotion Study of Freely Swimming Micro-organisms Using Laser Diffraction
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Vector Lissajous laser beams.

Svetlana N Khonina, Andrey V Ustinov, Alexey P Porfirev

    Optics Letters
    |August 1, 2020
    PubMed
    Summary

    We introduce vector Lissajous beams (VLB), a novel type of vector beam generalizing cylindrical beams. Their properties can be engineered for applications in optical tweezers and spintronics.

    Area of Science:

    • Optics and Photonics
    • Electromagnetism

    Background:

    • Cylindrical vector beams are well-established optical tools.
    • Generalizing these beams could unlock new functionalities.

    Purpose of the Study:

    • Introduce and analyze a new class of vector beams: vector Lissajous beams (VLB).
    • Investigate how VLB properties depend on their double order (p,q).

    Main Methods:

    • Theoretical analysis of vector Lissajous beams.
    • Numerical simulations to study electromagnetic field components.

    Main Results:

    • Vector Lissajous beams are a generalization of cylindrical vector beams.
    • The ratio and parity of orders (p,q) influence the electromagnetic field components (real, imaginary, complex).

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  • The imaginary part of the longitudinal component can be engineered.

    • Conclusions:

    • Vector Lissajous beams offer tunable properties for advanced applications.
    • Control over local spin angular momentum density is achievable.
    • Potential applications include optical tweezers and spintronics.