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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Vortex Beam Generation

    Background:

    • Gaussian beams and plane waves are fundamental optical entities.
    • Vortices in light beams carry orbital angular momentum.
    • Interference phenomena are crucial for understanding light-matter interactions.

    Purpose of the Study:

    • To investigate the formation and characteristics of vortex rings generated by interfering optical beams.
    • To analyze the influence of beam properties (e.g., amplitude, vortex winding number) on vortex ring nucleation.
    • To explore the role of dynamic and geometric phases in determining vortex line twist.

    Main Methods:

    • Theoretical analysis of the interference between a Gaussian beam and a plane wave.
    • Simulation of optical beam propagation and vortex ring formation.
    • Examination of transverse and longitudinal beam profiles.

    Main Results:

    • Co-propagating interference of a Gaussian beam and a plane wave nucleates vortex rings, with their number increasing as plane wave amplitude decreases.
    • Interference with a vortex-carrying Gaussian beam (|l| winding number) forms |l| elongated, twisted vortex rings.
    • Vortex line twist is governed by beam phases, and twist angle increases with decreasing plane wave amplitude.
    • Counter-propagating geometry leads to vortex rings with a half-wavelength period, influenced by the interference grating.

    Conclusions:

    • Optical interference provides a versatile method for generating and controlling vortex rings.
    • The dynamics of vortex ring formation are sensitive to the initial conditions of the interfering beams.
    • Understanding phase interplay is key to controlling vortex line twist and structure.