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Related Concept Videos

Angular Momentum01:21

Angular Momentum

Angular momentum characterizes an object's rotational motion and is defined as the moment of its linear momentum about a specified point O. When a particle moves along a curved path in the x-y plane, the scalar formulation calculates the magnitude of its angular momentum, utilizing the moment arm (d), representing the perpendicular distance from point O to the line of action of the linear momentum. Despite being scalar in formulation, angular momentum is inherently a vector quantity. Its...
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Related Experiment Video

Updated: Jun 22, 2026

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

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Published on: May 19, 2014

Orbital angular momentum transfer in helical Mathieu beams.

Carlos López-Mariscal, Julio C Gutiérrez-Vega, Graham Milne

    Optics Express
    |June 12, 2009
    PubMed
    Summary

    We observed orbital angular momentum transfer to trapped particles using a helical Mathieu beam. Particle rotation rates and velocities matched theoretical predictions based on optical forces and drag.

    Area of Science:

    • Optics and Photonics
    • Optical Trapping
    • Particle Dynamics

    Background:

    • Helical Mathieu beams possess unique azimuthally asymmetric transverse intensity distributions.
    • Orbital angular momentum (OAM) in light beams can interact with matter.
    • Understanding light-matter interactions is crucial for optical manipulation.

    Purpose of the Study:

    • To investigate the transfer of orbital angular momentum from a helical Mathieu beam to trapped particles.
    • To experimentally measure the rotational dynamics of trapped particles.
    • To correlate particle motion with optical forces and fluid dynamics.

    Main Methods:

    • Utilized a helical Mathieu beam with an azimuthally asymmetric transverse intensity distribution.
    • Experimentally trapped particles within the beam's intensity profile.

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  • Measured the average rotation rate, instantaneous angular displacement, and terminal velocity of the trapped particles.

    • Main Results:

    • Observed direct transfer of orbital angular momentum to trapped particles.
    • Measured particle rotation rate, angular displacement, and terminal velocity.
    • Experimental results showed good agreement with theoretical models.

    Conclusions:

    • The study confirms the transfer of OAM to trapped particles by helical Mathieu beams.
    • Particle dynamics are governed by the interplay of optical gradient force, OAM transfer, and Stokes drag.
    • Provides experimental validation for theoretical predictions in light-matter interaction.