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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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Vortex ring reconnections in elliptic Gaussian beams.

Zhamila Kulchukova, Anton S Desyatnikov

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    We theoretically explore optical vortex rings and their transformations. We show how vortex rings are created and destroyed, and how they reconnect in complex ways.

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    Area of Science:

    • Optics and Photonics
    • Quantum Information Science

    Background:

    • Optical vortex rings are fundamental structures in light.
    • Understanding their topological transformations is key to advanced optical applications.

    Purpose of the Study:

    • To theoretically investigate the dynamics of optical vortex rings.
    • To analyze topological transformations including birth, death, and reconnections.

    Main Methods:

    • Theoretical analysis of optical vortex rings.
    • Superposition of elliptic and astigmatic Gaussian beams with a plane wave.

    Main Results:

    • Demonstrated birth and death of vortex rings at isolated points.
    • Observed pairwise and higher-order three- and four-ring reconnections.
    • Analyzed transformations on and off the optical axis.

    Conclusions:

    • The study provides a theoretical framework for understanding complex vortex ring dynamics.
    • Findings contribute to the control and manipulation of light at the topological level.