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Related Concept Videos

Bessel Function of Order Zero01:20

Bessel Function of Order Zero

A common physical example of wave propagation with radial symmetry is the ripple formed when a stone is dropped into a still pond. The disturbance originates at a central point and travels outward as a circular wave. As the radius of the wavefront increases, the same initial energy is distributed along a progressively larger circumference. Consequently, the amplitude, or height, of the wave decreases with distance from the center. This decay behavior cannot be captured by simple sine or cosine...
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Potential Due to a Polarized Object

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

Surface solitons supported by Bessel optical potential.

Liangwei Dong, Hui Wang

    Optics Express
    |June 18, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A new model demonstrates stable surface solitons, where light beams remain confined at an interface. This stability arises from balancing light diffraction and nonlinear effects with a Bessel optical potential.

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    Area of Science:

    • Nonlinear optics
    • Optical physics
    • Condensed matter physics

    Background:

    • Surface solitons are localized light structures at interfaces.
    • Controlling soliton stability is crucial for optical applications.
    • Bessel potentials offer unique properties for light manipulation.

    Purpose of the Study:

    • To propose and investigate a novel model for stable surface solitons.
    • To explore the role of a 1-D Bessel optical potential in soliton formation and stability.
    • To analyze the influence of potential modulation depth and higher-order potentials.

    Main Methods:

    • Theoretical modeling of an interface with asymmetric Bessel potentials.
    • Numerical simulations to demonstrate soliton existence and stability.
    • Analysis of the balance between diffraction, nonlinearity, and potential.

    Main Results:

    • A new model supporting stable surface solitons was successfully proposed.
    • The Bessel optical potential effectively balances light diffraction and defocusing nonlinearity.
    • Solitons demonstrated stability across their entire existence domain, including for higher-order potentials.

    Conclusions:

    • The proposed Bessel potential interface model is a viable platform for stable surface solitons.
    • This model offers a new mechanism for controlling light localization at interfaces.
    • The findings have implications for designing advanced optical devices and systems.