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Updated: Jun 18, 2025

Preparation of Free-Surface Hyperbolic Water Vortices
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Perfect space-time vortices.

Sergey A Ponomarenko, Davud Hebri

    Optics Letters
    |August 2, 2024
    PubMed
    Summary

    We introduce perfect space-time vortices (PSTVs), which are stable optical vortex fields in anomalous dispersion media. Their intensity distribution is independent of topological charge for lower values, enabling novel optical applications.

    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Nonlinear Optics

    Background:

    • Space-time vortices are complex optical fields with unique propagation dynamics.
    • Anomalous dispersion media exhibit frequency-dependent refractive indices, influencing wave propagation.
    • Topological charge dictates the phase structure of optical vortices.

    Purpose of the Study:

    • To introduce and theoretically investigate perfect space-time vortices (PSTVs).
    • To explore the conditions for the existence and properties of PSTVs in anomalous dispersion media.
    • To propose a method for realizing PSTVs in an optical system.

    Main Methods:

    • Theoretical analysis of wave propagation in media with anomalous dispersion.
    • Mathematical modeling of spatiotemporal focusing using Bessel-Gaussian vortex sources.

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  • Design of a space-time lens system comprising ordinary and time lenses.

    • Main Results:

    • PSTVs can exist in media with anomalous dispersion.
    • For low topological charges, the spatiotemporal intensity distribution of PSTVs is independent of the charge magnitude.
    • A theoretical scheme for PSTV realization using spatiotemporal focusing is presented.

    Conclusions:

    • Perfect space-time vortices represent a new class of optical vortex solutions.
    • The topological charge independence offers robust control over vortex field properties.
    • The proposed optical setup provides a pathway for experimental investigation and application of PSTVs.