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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...
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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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Gray spatial solitons in nonlocal nonlinear media.

Yaroslav V Kartashov1, Lluis Torner

  • 1ICFO - Institut de Ciencies Fotoniques, Universitat Politecnica de Catalunya, Castelldefels (Barcelona), Spain. yaroslav.kartashov@icfo.es

Optics Letters
|March 22, 2007
PubMed
Summary

Gray solitons in nonlocal media are stable and form bound states. Their velocity is tunable by nonlocality, unlike in local media.

Area of Science:

  • Nonlinear optics
  • Soliton dynamics
  • Condensed matter physics

Background:

  • Solitons are self-reinforcing wave packets.
  • Nonlocal nonlinear media exhibit unique wave propagation characteristics.
  • Understanding soliton behavior in these media is crucial for optical applications.

Purpose of the Study:

  • To investigate the stability and properties of gray solitons in nonlocal nonlinear media.
  • To analyze the dependence of gray soliton velocity on the degree of nonlocality.
  • To compare the behavior of gray solitons in nonlocal versus local media.

Main Methods:

  • Numerical simulations of the governing nonlinear Schrödinger equation.
  • Analysis of soliton solutions and their stability criteria.

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  • Parametric studies varying the nonlocality parameter.

    • Main Results:

    • Gray solitons in nonlocal media are demonstrated to be stable.
    • The formation of bound states of gray solitons is observed.
    • Soliton velocity is shown to be dependent on the nonlocality degree, with significant reduction in highly nonlocal regimes.

    Conclusions:

    • Gray solitons exhibit robust stability and binding capabilities in nonlocal nonlinear media.
    • The nonlocality parameter offers a novel way to control soliton velocity, distinct from local media limitations.
    • These findings have implications for designing advanced optical systems utilizing stable, controllable solitons.