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Related Concept Videos

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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:
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Magnetic Field of a Solenoid01:18

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Poisson's And Laplace's Equation01:25

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Energy Bands in Solids01:01

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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Published on: December 15, 2021

Ring vortex solitons in nonlocal nonlinear media.

D Briedis, D Petersen, D Edmundson

    Optics Express
    |June 3, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Nonlocality stabilizes unstable vortex beams in optical materials, enabling stable vortex soliton formation. This finding applies to fundamental and higher-order solitons, paving the way for experimental observations in related nonlinear systems.

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    Area of Science:

    • Nonlinear optics
    • Quantum physics

    Background:

    • Vortex beams in optical materials are prone to instability.
    • Solitons with phase singularities (vortex solitons) are crucial in nonlinear optics.

    Purpose of the Study:

    • To investigate the formation and propagation of 2D vortex solitons in nonlocal focusing optical materials.
    • To demonstrate how nonlocality can stabilize unstable vortex beams.

    Main Methods:

    • Theoretical study of vortex soliton dynamics.
    • Analysis of single and higher-charge fundamental vortices.
    • Investigation of higher-order vortex solitons.

    Main Results:

    • Nonlocality was shown to stabilize the dynamics of vortex beams.
    • Stable formation and propagation of single and higher-charge vortex solitons were observed.
    • Stabilization was also demonstrated for higher-order vortex solitons.

    Conclusions:

    • Nonlocal focusing nonlinearity is key to stabilizing vortex solitons.
    • Results suggest potential for experimental observation of stable vortex rings in diverse nonlinear systems, including Bose-Einstein condensates.