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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
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Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
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The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
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Vortex confinement and bending with nonlocal solitons.

Gaetano Assanto, Antonmaria A Minzoni, Noel F Smyth

    Optics Letters
    |February 4, 2014
    PubMed
    Summary

    We demonstrate how spatial optical solitons can route vortex beams in nonlocal media. Introducing perturbations to the soliton waveguide successfully steers the vortex beam without causing destabilization.

    Area of Science:

    • Nonlinear optics
    • Beam propagation physics

    Background:

    • Vortex beams carry orbital angular momentum.
    • Spatial optical solitons are self-trapped light beams.
    • Nonlocal nonlinear media affect light propagation.

    Purpose of the Study:

    • To investigate the routing of vortex beams.
    • To utilize spatial optical solitons for beam steering.
    • To maintain vortex beam integrity during routing.

    Main Methods:

    • Simulating vortex beam propagation.
    • Employing coaxial, co-propagating spatial optical solitons.
    • Introducing refractive index perturbations (defects or interfaces) to the soliton waveguide.

    Main Results:

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  • Successfully curved soliton waveguides by introducing perturbations.
  • Demonstrated effective deviation and routing of collinear vortex beams.
  • Prevented destabilization and breakup of the vortex beam during routing.

    • Conclusions:

    • Spatial optical solitons can be used to guide and route vortex beams in nonlocal media.
    • Perturbations to soliton waveguides offer a method for controlled beam steering.
    • This technique preserves the stability of vortex beams.